Visit SiriusEducationSolutions.com for additional STAAR ... · Algebra I EOC: Readiness Review and Practice 1 A.7C Lesson 13 9 A.3B Lesson 3 2 A.9D Lesson 15 10 A.11B Lesson 14

9 781943 008469Printed in Texas on recycled paper.

ALGEBRA I ZINGERSSolving the Most-Missed STAAR® Test Items

STAAR® is a registered trademark of the Texas Education Agency, which does not endorse this program or its content.

• Builds test-taking skills and confidence.• Engages all students with challenging test items.• Promotes student thinking with interactive instruction.

Visit SiriusEducationSolutions.com for additional STAAR EOC resources.

Part 1: ZINGERSZinger 1 41% IncorrectZinger 2 54% IncorrectZinger 3 49% IncorrectZinger 4 60% IncorrectZinger 5 44% IncorrectZinger 6 53% IncorrectZinger 7 49% IncorrectZinger 8 53% IncorrectZinger 9 41% IncorrectZinger 10 53% IncorrectZinger 11 49% IncorrectZinger 12 53% IncorrectZinger 13 35% IncorrectZinger 14 43% IncorrectZinger 15 60% IncorrectZinger 16 51% IncorrectZinger 17 41% IncorrectZinger 18 57% IncorrectZinger 19 48% IncorrectZinger 20 46% Incorrect

Part 2: ON YOUR OWN16 Mixed Readiness TEKS

STAAR Practice Items

ALGEBRA I ZINGERS CONTENTS

2017 EDITION:NEW TEKS


Use with Your Students!

Graphing Calculator GuideTI-Nspire CX TI-84+

ON-OFF On: Press c.Off: Press / c.

On: Press É. Off: yM.

Contrast Brighter: Press and hold / and tap -. Dimmer: Press / and tap +.

Brighter: Press y and hold £.Dimmer: Press y and hold ¤.

Starting / Resetting Memory

To start a new document, select c, then 1 New Document. To save the old document, select Yes to save, or No to continue without saving.

To reset the memory and any previous settings, press y, Ã, 7, 1, 2.

Mode Press c and select 5:Settings . Move the cursor to desired setting and press ·.

Press z. The active settings are highlighted. Move the cursor to desired setting and press Í.

Copying a Previous Entry

To quickly copy a previously entered expression, press £ or ¤ to select the item, and · to copy it into the entry line. You can then edit the expression.

ENTRY or yÍ retrieves the previous expression and places the cursor at its end. You can then edit the expression.

FACTORING

1)

b+ )

m

k

STAAR ALGEBRA IREFERENCE MATERIALS

Perfect square trinomialsa ab b a b2 2 22− + = −( )a ab b a b2 2 22+ + = +( )

Difference of squares a b a b a2 2− = −( )(

PROPERTIES OF EXPONENTS

Product of powers a a am n m n= +( )

Quotient of powers aa

an

m n= −( )

Power of a power ( )a am n mn=

Rational exponent a amn mn

=

Negative exponent aa

nn

− = 1

LINEAR EQUATIONS

Standard form Ax By C+ =

Slope-intercept form y mx b= +

Point-slope form y y m x x− = −1 (

Slope of a line my yx x=

−

−2 1

2 1

QUADRATIC EQUATIONS

Standard form f x ax bx c( ) = + +2

Vertex form f x a x h( ) ( )= − +2

Quadratic formula xb b ac

a=

− −2 42

Axis of symmetry x ba

=−

2

Copyright © 2017 by Sirius Education Solutions LLC. All rights reserved. No part of this work may be reproduced or distributed in any form or by any means, electronic, mechanical, photocopying, scanning, recording, or stored in a database or retrieval system, without the prior written permission of the publisher.

STAAR® is a registered trademark of the Texas Education Agency. The Texas Education Agency does not endorse this program or its content. Sirius Education Solutions LLC is not affiliated with the Texas Education Agency or the State of Texas.

STAAR® test questions copyright © by the Texas Education Agency. All rights reserved.

Printed in Texas.

ISBN: 978-1-943008-46-9

Possession of this publication in print format does not entitle users to convert this publication, or any portion of it, into electronic format.

Thank you for respecting the copyright and supporting the hard work involved in creating this product.

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i Table of Contents

Table of ContentsWelcome Letter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iiUsing Algebra I Zingers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .iiiSTAAR Problem-Solving Strategies: 3 Keys to Success . . . . . . . . . . . . . . . . . . . . . . . . . . . .ivGreat Griddables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . viiYour Friend the Graphing Calculator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ix

1 Zingers —Solving the Most-Missed STAAR Test Items (Spring 2016)

Percent Answering Incorrect TEKS

Correlations toAlgebra I EOC: Readiness

Review and Practice PageDate Due Done

Zinger 1 41% A.5A Lesson 1 2



Zinger 4 60% A.3B Lesson 3 8

Zinger 5 44% A.3C Lesson 4 10


Zinger 7 49% A.2I Lesson 7 14



Zinger 10 53% A.10E Lesson 9 20







Zinger 17 41% A.9D Lesson 15 34


Zinger 19 48% A.4C Supporting Success 9 38

Zinger 20 46% A.5B Supporting Success 11 40

2 On Your Own —Mixed Readiness Practice (16 STAAR Test Items)

TEKS


Review and Practice TEKS


Review and Practice

1 A.7C Lesson 13 9 A.3B Lesson 3

2 A.9D Lesson 15 10 A.11B Lesson 14

3 A.7A Lesson 12 11 A.2C Lesson 5

4 A.2I Lesson 7 12 A.2A Lesson 2

5 A.3C Lesson 4 13 A.9C Lesson 16

6 A.10E Lesson 9 14 A.6A Lesson 11

7 A.5A Lesson 1 15 A.3D Lesson 6

8 A.8A Lesson 10 16 A.5C Lesson 8

Reference Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . inside backcover

Included in Sampler

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© Sirius Education Solutions

ii Welcome Letter

Dear Students,

The STAAR Algebra I assessment measures your knowledge of the Algebra I standards (TEKS). STAAR tests are not designed to measure many important qualities — as shown in this cartoon.

Dys

lexi

cKid

s.ne

t

Qualities Not Measured by STAAR Tests

Big-Picture ThinkingComp�ionReliabilityMotivationHumorEmpathy

Sense of Beauty

Humility

Sense of Wonder

PersistenceCuriosityEnthusiasm

COURAGE

LeadershipCreativityCivic-Minded

Resourcefulness

PositivityResilience

What are some other important qualities of character and intelligence missing in STAAR tests?

But passing the STAAR tests is a graduation requirement, so you want to do all you can to succeed on them. That’s where this workbook comes in!

Zingers—The Most Missed Test ItemsZingers is a unique interactive workbook that challenges and supports all Algebra I students. First, we collected the released test items that students had the most difficulty answering correctly. Next, we show the thinking processes of two students as they attempt to solve the problem, and you figure out what they did right or wrong. Finally, we provide a similar practice problem for you to solve.

Practicing Smart is the Secret to STAAR Success There is a secret to success on the STAAR tests — practice, practice, and more practice. However, not all practice is the same…so you want to practice smart.

First, practice with test questions that are likely to appear on the actual STAAR test. That’s easy, since this workbook is full of them! Next, focus on your weaknesses — the types of questions that you most need to improve. Think of it like this: if your basketball shot needs improvement, you don’t practice dribbling. Instead, you practice shooting.

Focusing on your weaknesses also means analyzing each test question you get wrong. Why did you get it wrong? So if your basketball shot is off, you identify what you are doing wrong (too far left), and correct it with your next shot (aim further right).

When you practice, give each question your full attention. (Take a short break after you answer the question.) Your attention is a muscle that you can build by using it, one practice test question at a time. Do you believe unfocused, sloppy practice of your basketball shot will help you perform during a big game? Your attention is your greatest power. You develop it with practice.

Preparing for the STAAR test can actually be a fun challenge. And when you practice smart, you are building life skills at the same time you prepare for the STAAR test!

Your partners in STAAR success,

The Sirius Education Team

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iii Using the Algebra I Zingers

Using the Algebra I Zingers

1 Read and UndeRstand

Good problem solvers carefully read and reread the problem. Use the interactive questions to help you identify key facts such as:

• What information is given?

• What does the problem ask for?

• What key concepts do you need?

2 Plan and solve

Examine what two students think as they solve the problem.

The students often use different methods to solve the problem. They might make mistakes. Correcting these mistakes helps you avoid making common mistakes on the STAAR test.

3 look Back

What do you think? What did you learn from the other students’ solution processes?

Draw conclusions and summarize key concepts that help clarify your understanding. Reflecting on the problem will help you remember it when you see similar problems on the STAAR test.

4 GUided PRactice

Now it’s your turn to solve a similar problem.

Use the step-by-step solution to avoid careless errors. With practice, you can solve the problems most students missed!

5 indePendent PRactice

Apply what you learned with more practice.

After this, you will feel more confident that you can succeed on the STAAR test. After all, you just solved one of the hardest problems!

4 Algebra I Zingers Solving the Most-Missed STAAR Test Items

A.2A Determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities.

ZINGER 2

-READ AND UNDERSTAND- Read the problem carefully. 54% of students missed this one!

A student rode a bike from school to a recreation center. The graph shows the student’s distance in miles from the recreation center after riding the bike for x minutes.

What is the range of the function for this situation?

F All real numbers greater than or equal to 0 and less than or equal to 28

G All real numbers greater than or equal to 0 and less than or equal to 9

H All real numbers less than or equal to 28

J All real numbers less than or equal to 9 STAAR Algebra I 2016 #44

1. The problem shows a graph with ___________________ in minutes on the

x-axis and ___________________ in miles on the y-axis.

2. You are asked to find the ____________________ of the graphed function.

3. The x-values for the graphed function begin at ________ and end at ________.

4. The y-values for the graphed function begin at ________ and end at ________.

-PLAN AND SOLVE- Read what each student thinks.

Denzel thinks. . .

The range gives all the y-values. The highest value for y on the line is 9. The distance is 9 or less. So, I can eliminate F and H because they contain 28.

My choice is J.

Felipe thinks. . .

The graph shows a line from (0, 9) to (28, 0). The time must be at least zero. The distance must also be at least zero. So I can eliminate H and J because they include negatives. The range is all the y-values on the line. Since y goes from 0 to 9, I can eliminate F. My choice is G.

5. Denzel thinks the _______________ contains all the values for the distance.

6. Felipe thinks the range for this situation cannot contain __________________ numbers.

7. Denzel thinks the function’s greatest y-value is ______.

8. Felipe thinks the function’s greatest y-value is ______.


ZINGER 2














Denzel thinks. . .


My choice is J.

Felipe thinks. . .







ZINGER 2














Denzel thinks. . .


My choice is J.

Felipe thinks. . .






Bike Ride y

Dis

tanc

e fr

om

Recr

eatio

n Cen

ter

(mi)

10

9

8

7

6

5

4

3

2

1 x

0 4 8 12 16 20 24 28 32 36 40 Time (min)

5 Zinger 2

-LOOK BACK- Answer each question.

9. Denzel’s answer is correct | incorrect .

Felipe’s answer is correct | incorrect . The correct answer choice is ________ .

10. Write a question for the graph about the bike ride that would have the following as a correct answer.

All real numbers greater than or equal to 0 and less than or equal to 28

-GUIDED PRACTICE- Read the problem carefully.

Jason budgets $25 a day for food during his vacation. The graph shows the total budgeted amount in dollars for a vacation of x days.

What is the domain of this situation?

A All whole numbers greater than or equal to 0 and less than or equal to 200

B All multiples of 25 greater than or equal to 0 and less than or equal to 200

C All real numbers less than or equal to 8

D All whole numbers less than or equal to 8

11. The graph has _________________ on the x-axis and dollars on the y-axis.

12. The set of counting numbers is {1, 2, 3, 4, 5, …} | {0,1, 2, 3, 4, 5, …}

and the set of whole numbers is {1, 2, 3, 4, 5, …} | {0,1, 2, 3, 4, 5, …} .

13. This problem asks for the domain | range , which are numbers

from ______ to ______ .

14. The correct answer choice is A | B | C | D .

-INDEPENDENT PRACTICE-

15. The domain describes the x-coordinates | y-coordinates of the

function and the range describes the x-coordinates | y-coordinates .

















from ______ to ______ .





Days

Jason’s Food Budget

Am

ount

Spe

nt (

$)

0 1 2 3 4 5 6 7 8 9 10 11 12x

y

25020015010050

1

3

2

4

5

TEKS with full text

Fill in the blanks.

Show your thinking.

Complete the step-by-step solutions.

Challenge Yourself Cover up the instruction and try to solve the problem on your own.

Wow, 54% of the students tested missed this problem!

When taking the STAAR Algebra I EOC test, you will have a graphing calculator, graph paper, and scratch paper. You will also have a Reference Sheet that is provided as the last page of this workbook.

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ZINGER 2














Denzel thinks. . .


My choice is J.

Felipe thinks. . .







ZINGER 2














Denzel thinks. . .


My choice is J.

Felipe thinks. . .







ZINGER 2














Denzel thinks. . .


My choice is J.

Felipe thinks. . .






Bike Ride y

Dis

tanc

e fr

om

Recr

eatio

n Cen

ter

(mi)

10

9

8

7

6

5

4

3

2

1 x

0 4 8 12 16 20 24 28 32 36 40 Time (min)

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5 Zinger 2

















from ______ to ______ .





















from ______ to ______ .





Days

Jason’s Food Budget

Am

ount

Spe

nt (

$)

0 1 2 3 4 5 6 7 8 9 10 11 12x

y

25020015010050

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A.10E Factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two.

2 STAAR Algebra I Zingers Solving the Most Missed Readiness Test Items

ZINGER 10-READ AND UNDERSTAND- Read the problem carefully. 53% of students missed this one!

Which expression is a factor of x2 5x 6 ? STAAR Algebra I 2016 #49

A x 6 C x 3

B x 2 D x 1

1. The problem gives the expression __________________ . You want to

find the answer expression that is a/an ________________ of 2 5 6x x .

2. The product of the correct answer choice and another factor will equal .


Marta thinks. . .

I will write a model: 2( ? )( ? ) 5 6x x . Now I’ll use FOIL. The two last terms must multiply to 6 . I’ll try 2 3 . But they must add to 5 and these don’t. Instead, I’ll try 6 1 because they multiply to 6 and add to 5 . I fill in my model: ( 6)( 1)x x .

For my last step, I’ll multiply to check: ( 6)( 1) ( ) ( 1) ( 6)( ) ( 6)(1)x x x x x x

My choice is A.

Hana thinks. . .

I’m going to use FOIL: multiply the two First terms, multiply the two Outside terms and two Inside terms and add them, and then multiply the two Last terms. I need two

factors that multiply to 2 5 6x x . The factors of x2 are x and x. The factors of 6 can be 1 6 , and then 1 6 5 .

My choice is D.

3. Marta thinks the last terms of each expression in parentheses must multiply

to ________ and ____________ to 5 .

4. Hana also finds two factors that multiply to ________ , but Hana’s two factors

add to ________.

5. Which student writes a model? Marta | Hana

6. Which student multiplies to check her answer? Marta | Hana


7. Marta’s answer is correct | incorrect . Hana’s answer is

correct | incorrect . The correct answer choice is _______ .

A.10E Factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two.


ZINGER 10-READ AND UNDERSTAND- Read the problem carefully. 53% of students missed this one!

Which expression is a factor of x2 5x 6 ? STAAR Algebra I 2016 #49

A x 6 C x 3

B x 2 D x 1

1. The problem gives the expression __________________ . You want to

find the answer expression that is a/an ________________ of 2 5 6x x .

2. The product of the correct answer choice and another factor will equal .


Marta thinks. . .

I will write a model: 2( ? )( ? ) 5 6x x . Now I’ll use FOIL. The two last terms must multiply to 6 . I’ll try 2 3 . But they must add to 5 and these don’t. Instead, I’ll try 6 1 because they multiply to 6 and add to 5 . I fill in my model: ( 6)( 1)x x .

For my last step, I’ll multiply to check: ( 6)( 1) ( ) ( 1) ( 6)( ) ( 6)(1)x x x x x x

My choice is A.

Hana thinks. . .

I’m going to use FOIL: multiply the two First terms, multiply the two Outside terms and two Inside terms and add them, and then multiply the two Last terms. I need two

factors that multiply to 2 5 6x x . The factors of x2 are x and x. The factors of 6 can be 1 6 , and then 1 6 5 .

My choice is D.

3. Marta thinks the last terms of each expression in parentheses must multiply

to ________ and ____________ to 5 .

4. Hana also finds two factors that multiply to ________ , but Hana’s two factors

add to ________.

5. Which student writes a model? Marta | Hana

6. Which student multiplies to check her answer? Marta | Hana


7. Marta’s answer is correct | incorrect . Hana’s answer is

correct | incorrect . The correct answer choice is _______ .

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21 Zinger 10 Zingers 2 3

8. What do the letters FOIL stand for?

9. Marta writes the blank model 2( ? )( ? ) 5 6x x , and then fills it in to check:

LastFirst Outside+Inside

( 6)( 1) ( ) ( 1) ( 6)( ) ( 6)(1)x x x x x x . Do you think

Marta’s way is a good one to use? Explain.


Which expression is a factor of y2 7y 12?

F y 6 H y 3

G y 3 J y 2

10. Write a blank model to fill in: ( ? )( ? ) ______________________ .

11. The last terms must multiply to _______ and ___________ to 7 .

12. If two numbers multiply to +12, their signs must be different | the same .

13. The factors of 12 are 1, 2, _______, _______, _______, 12 .

14. The factor pair that has the same signs, multiplies to 12, and adds to –7, is

–6 and –2 | –3 and –4 | 6 and 2 | 3 and –4 .

15. Complete the model and check. ( ____________ ) 2( 4) 7 12y y y

16. The correct answer choice is F | G | H | J .

17. Explain why 6y is not a factor of 2 7 12y y .

-INDEPENDENT PRACTICE- Solve the problem.

Which shows the factors of x2 8x 20 ?

A (x 5)(x 4) C (x 4)(x 5)

B (x 10)(x 2) D (x 2)(x 10)


Zingers 2 3








F y 6 H y 3

G y 3 J y 2






–6 and –2 | –3 and –4 | 6 and 2 | 3 and –4 .






A (x 5)(x 4) C (x 4)(x 5)

B (x 10)(x 2) D (x 2)(x 10)


Zingers 2 3








F y 6 H y 3

G y 3 J y 2






–6 and –2 | –3 and –4 | 6 and 2 | 3 and –4 .






A (x 5)(x 4) C (x 4)(x 5)

B (x 10)(x 2) D (x 2)(x 10)


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A.11B Simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents.


ZINGER 15


Which expression is equivalent to 14a4b6c10

8a2b3c5?

STAAR Algebra I 2016 #10

F 7a2b3

4c15 H 7a6b3

4c5

G 6a2b9

c15 J 7b2c2

4a2

1. The problem gives an algebraic _____________________ written as a fraction.

You are asked to find an _____________________ expression.

2. The value of the correct answer is always the same as | different from the value of the given expression.


Chris thinks. . .

I will look at each answer choice to see if I can eliminate some wrong ones.

The coefficient 14

8 does not equal 6,

so I can eliminate G. Next, the variable

expression

4

2a

a is the same as 4 2a a

or 6a , so I can eliminate F and J. My choice is H.

Jamie thinks. . .

Since the answer choices have no negative exponents, I will rewrite the variables with positive exponents. I’ll flip variables with negative exponents to write them with positive exponents.

4 6 4 6

3 314 14

8 8

a b a b

b b

10 2 5

2 5 10

c a c

a c c or

6 3

57

4

a b

c

My choice is H.

3. Chris first compared the coefficient | variables of the given expression with the answer choices.

4. Jamie noticed that all the answer choices had variables with _______________ exponents.

5. Both Chris and Jamie combined the same variables with different exponents by

multiplying and dividing | adding and subtracting the exponents.


6. The correct answer choice is ________ .

A.11B Simplify numeric and algebraic expressions using the laws of exponents, including integral and

rational exponents.


ZINGER 15


Which expression is equivalent to 14a4b6c10

8a2b3c5?

STAAR Algebra I 2016 #10

F 7a2b3

4c15 H 7a6b3

4c5

G 6a2b9

c15 J 7b2c2

4a2

1. The problem gives an algebraic _____________________ written as a fraction.

You are asked to find an _____________________ expression.

2. The value of the correct answer is always the same as | different from the value of the given expression.


Chris thinks. . .

I will look at each answer choice to see if I can eliminate some wrong ones.

The coefficient 14

8 does not equal 6,

so I can eliminate G. Next, the variable

expression

4

2a

a is the same as 4 2a a

or 6a , so I can eliminate F and J. My choice is H.

Jamie thinks. . .

Since the answer choices have no negative exponents, I will rewrite the variables with positive exponents. I’ll flip variables with negative exponents to write them with positive exponents.

4 6 4 6

3 314 14

8 8

a b a b

b b

10 2 5

2 5 10

c a c

a c c or

6 3

57

4

a b

c

My choice is H.

3. Chris first compared the coefficient | variables of the given expression with the answer choices.

4. Jamie noticed that all the answer choices had variables with _______________ exponents.

5. Both Chris and Jamie combined the same variables with different exponents by

multiplying and dividing | adding and subtracting the exponents.


6. The correct answer choice is ________ .

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31 Zinger 15 Zingers 1 3

7. In answer choice G, what error was made in simplifying 148

?

8. Describe a set of answer choices for which Chris’s method might not work so

well.


Which expression is equivalent to 32x1y6z5

3x4yz7?

A xy5z12

27 C

x3z12

9y7

B x3z12

27y7 D z2

x3y7

9. Because all answer choices include positive exponents, rewrite the given expression with positive exponents. Then simplify it.

2 1 6 5

4 7 23

3 3 3

x y z

x yz

10. Which shows the correct simplification of 32(3)?

2 1 2 1 33 (3 ) 9 9 9 9 9 | 2 1 2 1 33 (3 ) 3 3 3 3 3 .

11. The number value of the coefficient is ________ . This means we can

eliminate answer choices (circle all) A | B | C | D .


-INDEPENDENT PRACTICE- Solve each problem.

13. The expression 3

19x

y

is equivalent to 39y

x |

1

39

y

x | 3

y

x .


35

x

yz

is equivalent to 2

35

x

yz |

3

25

z

x y |

3

25yz

x .

15. The expression 2 1

34

2

a b

c

is equivalent to 3

28

c

a b |

3

22 c

a b |

3

22

c

a b .

Zingers 1 3

7. In answer choice G, what error was made in simplifying 148

?

8. Describe a set of answer choices for which Chris’s method might not work so

well.


Which expression is equivalent to 32x1y6z5

3x4yz7?

A xy5z12

27 C

x3z12

9y7

B x3z12

27y7 D z2

x3y7

9. Because all answer choices include positive exponents, rewrite the given expression with positive exponents. Then simplify it.

2 1 6 5

4 7 23

3 3 3

x y z

x yz

10. Which shows the correct simplification of 32(3)?

2 1 2 1 33 (3 ) 9 9 9 9 9 | 2 1 2 1 33 (3 ) 3 3 3 3 3 .

11. The number value of the coefficient is ________ . This means we can

eliminate answer choices (circle all) A | B | C | D .


-INDEPENDENT PRACTICE- Solve each problem.


19x

y

is equivalent to 39y

x |

1

39

y

x | 3

y

x .


35

x

yz

is equivalent to 2

35

x

yz |

3

25

z

x y |

3

25yz

x .

15. The expression 2 1

34

2

a b

c

is equivalent to 3

28

c

a b |

3

22 c

a b |

3

22

c

a b .

Sampler

5

Zin

ge

r 2

-LO

OK

BA

CK-

An

swer

eac

h q

ues

tio

n.

9.

Den

zel’s

an

swer

is

co

rrec

t

| i

nco

rrec

t

.

Felip

e’s

answ

er is

c

orr

ect

|

in

corr

ect

.

The

corr

ect

answ

er c

ho

ice

is _

____

___

.

10

. W

rite

a q

ues

tio

n f

or

the

gra

ph

ab

ou

t th

e b

ike

rid

e th

at w

ou

ld h

ave

the

f

ollo

win

g a

s a

corr

ect

answ

er.

All

real

num

bers

gre

ater

tha

n or

equ

al t

o 0

and

less

tha

n or

equ

al t

o 28

-GU

IDE

D P

RA

CTI

CE-

R

ead

th

e p

rob

lem

car

efu

lly.

Jaso

n bu

dget

s $2

5 a

day

for

food

dur

ing

his

vaca

tion.

The

gra

ph s

how

s th

e to

tal b

udge

ted

am

ount

in d

olla

rs f

or a

vac

atio

n of

x d

ays.

Wha

t is

the

dom

ain

of t

his

situ

atio

n?

A

All

who

le n

umbe

rs g

reat

er t

han

or e

qual

to

0 a

nd le

ss t

han

or e

qual

to

200

B

All

mul

tiple

s of

25

grea

ter

than

or

equa

l to

0 a

nd le

ss t

han

or e

qual

to

200

C

All

real

num

bers

less

tha

n or

equ

al t

o 8

D

All

who

le n

umbe

rs le

ss t

han

or e

qual

to

8

11

. Th

e g

rap

h h

as _

____

____

____

____

on

th

e x-

axis

an

d d

olla

rs o

n t

he

y-ax

is.

12

. Th

e se

t o

f co

un

tin

g n

um

ber

s is

{

1, 2

, 3, 4

, 5, …

}

| {

0,1,

2, 3

, 4, 5

, …}

an

d t

he

set

of

wh

ole

nu

mb

ers

is

{1, 2

, 3, 4

, 5, …

}

| {

0,1,

2, 3

, 4, 5

, …}

.

13

. Th

is p

rob

lem

ask

s fo

r th

e

do

mai

n

|

ran

ge

, w

hic

h a

re n

um

ber

s

fro

m _

____

_ to

___

___

.

14

. Th

e co

rrec

t an

swer

ch

oic

e is

A

|

B

|

C

|

D

.

-IN

DE

PEN

DEN

T P

RA

CTI

CE-

15

. Th

e d

om

ain

des

crib

es t

he

x-

coo

rdin

ates

|

y-

coo

rdin

ates

o

f th

e

fu

nct

ion

an

d t

he

ran

ge

des

crib

es t

he

x-

coo

rdin

ates

|

y-

coo

rdin

ates

.

-LO

OK

BA

CK-

An

swer

eac

h q

ues

tio

n.

9.

Den

zel’s

an

swer

is

co

rrec

t

| i

nco

rrec

t

.

Felip

e’s

answ

er is

c

orr

ect

|

in

corr

ect

.

The

corr

ect

answ

er c

ho

ice

is _

____

___

.

10

. W

rite

a q

ues

tio

n f

or

the

gra

ph

ab

ou

t th

e b

ike

rid

e th

at w

ou

ld h

ave

the

f

ollo

win

g a

s a

corr

ect

answ

er.

All

real

num

bers

gre

ater

tha

n or

equ

al t

o 0

and

less

tha

n or

equ

al t

o 28

-GU

IDE

D P

RA

CTI

CE-

R

ead

th

e p

rob

lem

car

efu

lly.

Jaso

n bu

dget

s $2

5 a

day

for

food

dur

ing

his

vaca

tion.

The

gra

ph s

how

s th

e to

tal b

udge

ted

am

ount

in d

olla

rs f

or a

vac

atio

n of

x d

ays.

Wha

t is

the

dom

ain

of t

his

situ

atio

n?

A

All

who

le n

umbe

rs g

reat

er t

han

or e

qual

to

0 a

nd le

ss t

han

or e

qual

to

200

B

All

mul

tiple

s of

25

grea

ter

than

or

equa

l to

0 a

nd le

ss t

han

or e

qual

to

200

C

All

real

num

bers

less

tha

n or

equ

al t

o 8

D

All

who

le n

umbe

rs le

ss t

han

or e

qual

to

8

11

. Th

e g

rap

h h

as _

____

____

____

____

on

th

e x-

axis

an

d d

olla

rs o

n t

he

y-ax

is.

12

. Th

e se

t o

f co

un

tin

g n

um

ber

s is

{

1, 2

, 3, 4

, 5, …

}

| {

0,1,

2, 3

, 4, 5

, …}

an

d t

he

set

of

wh

ole

nu

mb

ers

is

{1, 2

, 3, 4

, 5, …

}

| {

0,1,

2, 3

, 4, 5

, …}

.

13

. Th

is p

rob

lem

ask

s fo

r th

e

do

mai

n

|

ran

ge

, w

hic

h a

re n

um

ber

s

fro

m _

____

_ to

___

___

.

14

. Th

e co

rrec

t an

swer

ch

oic

e is

A

|

B

|

C

|

D

.

-IN

DE

PEN

DEN

T P

RA

CTI

CE-

15

. Th

e d

om

ain

des

crib

es t

he

x-

coo

rdin

ates

|

y-

coo

rdin

ates

o

f th

e

fu

nct

ion

an

d t

he

ran

ge

des

crib

es t

he

x-

coo

rdin

ates

|

y-

coo

rdin

ates

.

Day

s

Jaso

n’s

Food

Bud

get

Amount Spent ($)

01

23

45

67

89

1011

12x

y

250

200

150

100 50

day

s

G

08

Sam

ple

an

swer

: Wh

at is

th

e d

om

ain

of

the

fun

ctio

n?

4A

lge

bra

I Z

ing

ers

So

lvin

g t

he

Mo

st-M

isse

d S

TAA

R T

est

Item

s

A.2

A

Dete

rmin

e th

e do

mai

n an

d ra

nge

of a

line

ar fu

nctio

n in

mat

hem

atica

l pro

blem

s; d

eter

min

e re

ason

able

dom

ain

and

rang

e va

lues

for r

eal-w

orld

situ

atio

ns, b

oth

cont

inuo

us a

nd d

iscre

te; a

nd

repr

esen

t dom

ain

and

rang

e us

ing

ineq

ualit

ies.

ZIN

GER

2

-RE

AD

AN

D U

ND

ER

STA

ND

-

Rea

d t

he

pro

ble

m c

aref

ully

. 54%

of

stu

den

ts m

isse

d t

his

on

e!

A s

tude

nt r

ode

a bi

ke f

rom

sch

ool t

o a

recr

eatio

n

cent

er.

The

grap

h sh

ows

the

stud

ent’s

dis

tanc

e in

m

iles

from

the

rec

reat

ion

cent

er a

fter

rid

ing

the

bi

ke f

or x

min

utes

.

Wha

t is

the

ran

ge o

f th

e fu

nctio

n fo

r th

is s

ituat

ion?

F All

real

num

bers

gre

ater

tha

n or

equ

al t

o 0

an

d le

ss t

han

or e

qual

to

28

G

All

real

num

bers

gre

ater

tha

n or

equ

al t

o 0

an

d le

ss t

han

or e

qual

to

9

H

All

real

num

bers

less

tha

n or

equ

al t

o 28

J All

real

num

bers

less

tha

n or

equ

al t

o 9

STAA

R Al

gebr

a I 2

016

#44

1.

The

pro

ble

m s

ho

ws

a g

rap

h w

ith

___

____

____

____

____

in m

inu

tes

on

th

e

x-ax

is a

nd

___

____

____

____

____

in m

iles

on

th

e y-

axis

.

2.

Yo

u a

re a

sked

to

fin

d t

he

____

____

____

____

____

of

the

gra

ph

ed f

un

ctio

n.

3.

The

x-va

lues

fo

r th

e g

rap

hed

fu

nct

ion

beg

in a

t __

____

__ a

nd

en

d a

t __

____

__.

4.

The

y-va

lues

fo

r th

e g

rap

hed

fu

nct

ion

beg

in a

t __

____

__ a

nd

en

d a

t __

____

__.

-PLA

N A

ND

SO

LVE-

R

ead

wh

at e

ach

stu

den

t th

inks

.

Den

zel t

hin

ks. .

.

The

rang

e gi

ves

all t

he y

-val

ues.

Th

e hi

ghes

t va

lue

for

y on

the

line

is 9

. Th

e di

stan

ce is

9 o

r le

ss. S

o, I

can

elim

inat

e F

and

H b

ecau

se t

hey

cont

ain

28.

My

choi

ce is

J.

Fe

lipe

thin

ks. .

.

The

grap

h sh

ows

a lin

e fr

om (0

, 9) t

o (2

8, 0

). Th

e tim

e m

ust

be a

t le

ast

zero

. Th

e di

stan

ce m

ust

also

be

at le

ast

zero

. So

I ca

n el

imin

ate

H a

nd J

bec

ause

the

y in

clud

e ne

gativ

es. T

he r

ange

is a

ll th

e

y-va

lues

on

the

line.

Sin

ce y

goe

s fr

om 0

to

9, I

can

elim

inat

e F.

My

choi

ce is

G.

5.

Den

zel t

hin

ks t

he

____

____

____

___

con

tain

s al

l th

e va

lues

fo

r th

e d

ista

nce

.

6.

Felip

e th

inks

th

e ra

ng

e fo

r th

is s

itu

atio

n c

ann

ot

con

tain

___

____

____

____

___

nu

mb

ers.

7.

Den

zel t

hin

ks t

he

fun

ctio

n’s

gre

ates

t y-

valu

e is

___

___.

8.

Felip

e th

inks

th

e fu

nct

ion

’s g

reat

est

y-va

lue

is _

____

_.

A.2

A

Dete

rmin

e th

e do

mai

n an

d ra

nge

of a

line

ar fu

nctio

n in

mat

hem

atica

l pro

blem

s; d

eter

min

e re

ason

able

dom

ain

and

rang

e va

lues

for r

eal-w

orld

situ

atio

ns, b

oth

cont

inuo

us a

nd d

iscre

te; a

nd

repr

esen

t dom

ain

and

rang

e us

ing

ineq

ualit

ies.

ZIN

GER

2

-RE

AD

AN

D U

ND

ER

STA

ND

-

Rea

d t

he

pro

ble

m c

aref

ully

. 54%

of

stu

den

ts m

isse

d t

his

on

e!

A s

tude

nt r

ode

a bi

ke f

rom

sch

ool t

o a

recr

eatio

n

cent

er.

The

grap

h sh

ows

the

stud

ent’s

dis

tanc

e in

m

iles

from

the

rec

reat

ion

cent

er a

fter

rid

ing

the

bi

ke f

or x

min

utes

.

Wha

t is

the

ran

ge o

f th

e fu

nctio

n fo

r th

is s

ituat

ion?

F All

real

num

bers

gre

ater

tha

n or

equ

al t

o 0

an

d le

ss t

han

or e

qual

to

28

G

All

real

num

bers

gre

ater

tha

n or

equ

al t

o 0

an

d le

ss t

han

or e

qual

to

9

H

All

real

num

bers

less

tha

n or

equ

al t

o 28

J All

real

num

bers

less

tha

n or

equ

al t

o 9

STAA

R Al

gebr

a I 2

016

#44

1.

The

pro

ble

m s

ho

ws

a g

rap

h w

ith

___

____

____

____

____

in m

inu

tes

on

th

e

x-ax

is a

nd

___

____

____

____

____

in m

iles

on

th

e y-

axis

.

2.

Yo

u a

re a

sked

to

fin

d t

he

____

____

____

____

____

of

the

gra

ph

ed f

un

ctio

n.

3.

The

x-va

lues

fo

r th

e g

rap

hed

fu

nct

ion

beg

in a

t __

____

__ a

nd

en

d a

t __

____

__.

4.

The

y-va

lues

fo

r th

e g

rap

hed

fu

nct

ion

beg

in a

t __

____

__ a

nd

en

d a

t __

____

__.

-PLA

N A

ND

SO

LVE-

R

ead

wh

at e

ach

stu

den

t th

inks

.

Den

zel t

hin

ks. .

.

The

rang

e gi

ves

all t

he y

-val

ues.

Th

e hi

ghes

t va

lue

for

y on

the

line

is 9

. Th

e di

stan

ce is

9 o

r le

ss. S

o, I

can

elim

inat

e F

and

H b

ecau

se t

hey

cont

ain

28.

My

choi

ce is

J.

Fe

lipe

thin

ks. .

.

The

grap

h sh

ows

a lin

e fr

om (0

, 9) t

o (2

8, 0

). Th

e tim

e m

ust

be a

t le

ast

zero

. Th

e di

stan

ce m

ust

also

be

at le

ast

zero

. So

I ca

n el

imin

ate

H a

nd J

bec

ause

the

y in

clud

e ne

gativ

es. T

he r

ange

is a

ll th

e

y-va

lues

on

the

line.

Sin

ce y

goe

s fr

om 0

to

9, I

can

elim

inat

e F.

My

choi

ce is

G.

5.

Den

zel t

hin

ks t

he

____

____

____

___

con

tain

s al

l th

e va

lues

fo

r th

e d

ista

nce

.

6.

Felip

e th

inks

th

e ra

ng

e fo

r th

is s

itu

atio

n c

ann

ot

con

tain

___

____

____

____

___

nu

mb

ers.

7.

Den

zel t

hin

ks t

he

fun

ctio

n’s

gre

ates

t y-

valu

e is

___

___.

8.

Felip

e th

inks

th

e fu

nct

ion

’s g

reat

est

y-va

lue

is _

____

_.

A.2

A

Dete

rmin

e th

e do

mai

n an

d ra

nge

of a

line

ar fu

nctio

n in

mat

hem

atica

l pro

blem

s; d

eter

min

e re

ason

able

dom

ain

and

rang

e va

lues

for r

eal-w

orld

situ

atio

ns, b

oth

cont

inuo

us a

nd d

iscre

te; a

nd

repr

esen

t dom

ain

and

rang

e us

ing

ineq

ualit

ies.

ZIN

GER

2

-RE

AD

AN

D U

ND

ER

STA

ND

-

Rea

d t

he

pro

ble

m c

aref

ully

. 54%

of

stu

den

ts m

isse

d t

his

on

e!

A s

tude

nt r

ode

a bi

ke f

rom

sch

ool t

o a

recr

eatio

n

cent

er.

The

grap

h sh

ows

the

stud

ent’s

dis

tanc

e in

m

iles

from

the

rec

reat

ion

cent

er a

fter

rid

ing

the

bi

ke f

or x

min

utes

.

Wha

t is

the

ran

ge o

f th

e fu

nctio

n fo

r th

is s

ituat

ion?

F All

real

num

bers

gre

ater

tha

n or

equ

al t

o 0

an

d le

ss t

han

or e

qual

to

28

G

All

real

num

bers

gre

ater

tha

n or

equ

al t

o 0

an

d le

ss t

han

or e

qual

to

9

H

All

real

num

bers

less

tha

n or

equ

al t

o 28

J All

real

num

bers

less

tha

n or

equ

al t

o 9

STAA

R Al

gebr

a I 2

016

#44

1.

The

pro

ble

m s

ho

ws

a g

rap

h w

ith

___

____

____

____

____

in m

inu

tes

on

th

e

x-ax

is a

nd

___

____

____

____

____

in m

iles

on

th

e y-

axis

.

2.

Yo

u a

re a

sked

to

fin

d t

he

____

____

____

____

____

of

the

gra

ph

ed f

un

ctio

n.

3.

The

x-va

lues

fo

r th

e g

rap

hed

fu

nct

ion

beg

in a

t __

____

__ a

nd

en

d a

t __

____

__.

4.

The

y-va

lues

fo

r th

e g

rap

hed

fu

nct

ion

beg

in a

t __

____

__ a

nd

en

d a

t __

____

__.

-PLA

N A

ND

SO

LVE-

R

ead

wh

at e

ach

stu

den

t th

inks

.

Den

zel t

hin

ks. .

.

The

rang

e gi

ves

all t

he y

-val

ues.

Th

e hi

ghes

t va

lue

for

y on

the

line

is 9

. Th

e di

stan

ce is

9 o

r le

ss. S

o, I

can

elim

inat

e F

and

H b

ecau

se t

hey

cont

ain

28.

My

choi

ce is

J.

Fe

lipe

thin

ks. .

.

The

grap

h sh

ows

a lin

e fr

om (0

, 9) t

o (2

8, 0

). Th

e tim

e m

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the

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goe

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e F.

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choi

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5.

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zel t

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tain

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© Sirius Education Solutions 4–5Zinger 2

Teacher’s Edition Sampler

21

Zin

ge

r 10

Zi

ng

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2 3

8.

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at d

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nd

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pla

in.

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Rea

d t

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pro

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m c

aref

ully

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pla

in.

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D P

RA

CTI

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Rea

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pro

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how

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e fa

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s of

x2

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20 ?

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(x

5)(x

4)

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corr

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ta’s

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pla

in.

-GU

IDE

D P

RA

CTI

CE-

Rea

d t

he

pro

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m c

aref

ully

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ssio

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add

12

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AN

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STA

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th

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sed

th

is o

ne!

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ch e

xpre

ssio

n is

a f

acto

r of

x2

5x

6 ?

ST

AAR

Alge

bra

I 201

6 #4

9

A

x

6

C

x

3

B

x2

D

x1

1.

The

pro

ble

m g

ives

th

e ex

pre

ssio

n _

____

____

____

____

_ . Y

ou

wan

t to

fin

d t

he

answ

er e

xpre

ssio

n t

hat

is a

/an

___

____

____

____

_ o

f 2

56

xx

.

2.

The

pro

du

ct o

f th

e co

rrec

t an

swer

ch

oic

e an

d a

no

ther

fac

tor

will

eq

ual

.

-PLA

N A

ND

SO

LVE-

R

ead

wh

at e

ach

stu

den

t th

inks

.

Mar

ta t

hin

ks. .

.

I will

writ

e a

mod

el:

2

( ?

)( ?

)5

6x

x.

Now

I’ll

use

FOIL

. The

tw

o la

st t

erm

s m

ust

mul

tiply

to6

. I’ll

try

23

. But

the

y m

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add

to

5 a

nd t

hese

don

’t. I

nste

ad, I

’ll t

ry

61

beca

use

they

mul

tiply

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to

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. I f

ill in

my

mod

el:

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(1)

xx

.

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my

last

ste

p, I’

ll m

ultip

ly t

o ch

eck:

(

6)(

1)(

)(

1)(

6)(

)(

6)(1)

xx

xx

xx

My

choi

ce is

A.

H

ana

thin

ks. .

.

I’m g

oing

to

use

FOIL

: mul

tiply

the

tw

o Fi

rst

term

s, m

ultip

ly t

he t

wo

Out

side

ter

ms

and

two

Insi

de t

erm

s an

d ad

d th

em, a

nd t

hen

mul

tiply

th

e tw

o La

st t

erm

s. I

need

tw

o

fact

ors

that

mul

tiply

to

25

6x

x.

The

fact

ors

of x

2 ar

e x

and

x. T

he

fact

ors

of

6 c

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e

1

6, a

nd

then

1

65

.

My

choi

ce is

D.

3.

Mar

ta t

hin

ks t

he

last

ter

ms

of e

ach

exp

ress

ion

in p

aren

thes

es m

ust

mu

ltip

ly

to _

____

___

and

___

____

____

_ to

5

.

4.

Han

a al

so f

ind

s tw

o f

acto

rs t

hat

mu

ltip

ly t

o _

____

___

, bu

t H

ana’

s tw

o f

acto

rs

add

to

___

____

_.

5.

Wh

ich

stu

den

t w

rite

s a

mo

del

?

Mar

ta

|

Han

a

6.

Wh

ich

stu

den

t m

ult

iplie

s to

ch

eck

her

an

swer

?

Mar

ta

|

Han

a

-LO

OK

BA

CK-

A

nsw

er e

ach

qu

esti

on

.

7.

Mar

ta’s

an

swer

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co

rrec

t

| i

nco

rrec

t

. Han

a’s

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er is

corr

ect

|

in

corr

ect

. T

he

corr

ect

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er c

ho

ice

is _

____

__ .

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0E

Fact

or, i

f pos

sible

, trin

omia

ls w

ith re

al fa

ctor

s in

the

form

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bx

+ c,

inclu

ding

per

fect

squ

are

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mia

ls of

deg

ree

two.

2

STA

AR A

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ra I

Zin

ger

s S

olv

ing

th

e M

ost

Mis

sed

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din

ess

Test

Item

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GER

10

-RE

AD

AN

D U

ND

ER

STA

ND

- R

ead

th

e p

rob

lem

car

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lly. 5

3% o

f st

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ents

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sed

th

is o

ne!

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ch e

xpre

ssio

n is

a f

acto

r of

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5x

6 ?

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AAR

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bra

I 201

6 #4

9

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x

6

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x

3

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x1

1.

The

pro

ble

m g

ives

th

e ex

pre

ssio

n _

____

____

____

____

_ . Y

ou

wan

t to

fin

d t

he

answ

er e

xpre

ssio

n t

hat

is a

/an

___

____

____

____

_ o

f 2

56

xx

.

2.

The

pro

du

ct o

f th

e co

rrec

t an

swer

ch

oic

e an

d a

no

ther

fac

tor

will

eq

ual

.

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N A

ND

SO

LVE-

R

ead

wh

at e

ach

stu

den

t th

inks

.

Mar

ta t

hin

ks. .

.

I will

writ

e a

mod

el:

2

( ?

)( ?

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6x

x.

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I’ll

use

FOIL

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tw

o la

st t

erm

s m

ust

mul

tiply

to6

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try

23

. But

the

y m

ust

add

to

5 a

nd t

hese

don

’t. I

nste

ad, I

’ll t

ry

61

beca

use

they

mul

tiply

to 6

and

add

to

5

. I f

ill in

my

mod

el:

(6)

(1)

xx

.

For

my

last

ste

p, I’

ll m

ultip

ly t

o ch

eck:

(

6)(

1)(

)(

1)(

6)(

)(

6)(1)

xx

xx

xx

My

choi

ce is

A.

H

ana

thin

ks. .

.

I’m g

oing

to

use

FOIL

: mul

tiply

the

tw

o Fi

rst

term

s, m

ultip

ly t

he t

wo

Out

side

ter

ms

and

two

Insi

de t

erm

s an

d ad

d th

em, a

nd t

hen

mul

tiply

th

e tw

o La

st t

erm

s. I

need

tw

o

fact

ors

that

mul

tiply

to

25

6x

x.

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fact

ors

of x

2 ar

e x

and

x. T

he

fact

ors

of

6 c

an b

e

1

6, a

nd

then

1

65

.

My

choi

ce is

D.

3.

Mar

ta t

hin

ks t

he

last

ter

ms

of e

ach

exp

ress

ion

in p

aren

thes

es m

ust

mu

ltip

ly

to _

____

___

and

___

____

____

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5

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4.

Han

a al

so f

ind

s tw

o f

acto

rs t

hat

mu

ltip

ly t

o _

____

___

, bu

t H

ana’

s tw

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acto

rs

add

to

___

____

_.

5.

Wh

ich

stu

den

t w

rite

s a

mo

del

?

Mar

ta

|

Han

a

6.

Wh

ich

stu

den

t m

ult

iplie

s to

ch

eck

her

an

swer

?

Mar

ta

|

Han

a

-LO

OK

BA

CK-

A

nsw

er e

ach

qu

esti

on

.

7.

Mar

ta’s

an

swer

is

co

rrec

t

| i

nco

rrec

t

. Han

a’s

answ

er is

corr

ect

|

in

corr

ect

. T

he

corr

ect

answ

er c

ho

ice

is _

____

__ .

x2 –

5x –

6fa

cto

r

x2 –

5x –

6

A

add

–6

–6547

%17

%14

%21

%

© Sirius Education Solutions Zinger 10 20–21


31

Zin

ge

r 15

Zi

ng

ers

1 3

7.

In a

nsw

er c

ho

ice

G, w

hat

err

or

was

mad

e in

sim

plif

yin

g 14 8

?

8.

Des

crib

e a

set

of

answ

er c

ho

ices

fo

r w

hic

h C

hri

s’s

met

ho

d m

igh

t n

ot

wo

rk s

o

w

ell.

-GU

IDED

PR

AC

TIC

E-

Rea

d t

he

pro

ble

m c

aref

ully

.

Whi

ch e

xpre

ssio

n is

equ

ival

ent

to 3

2x

1 y6z5

3x4yz

7?

A xy

5 z12

27

C x3 z

12

9y7

B x3 z

12

27y7

D

z2

x3 y7

9.

Bec

ause

all

answ

er c

ho

ices

incl

ud

e p

osi

tive

exp

on

ents

, rew

rite

th

e g

iven

ex

pre

ssio

n w

ith

po

siti

ve e

xpo

nen

ts. T

hen

sim

plif

y it

.

21

65

47

23

3 3

3

xy

z

xyz

10.

Wh

ich

sh

ow

s th

e co

rrec

t si

mp

lific

atio

n o

f 32 (

3)?

21

21

33

(3)

99

99

9

|

21

21

33

(3)

33

33

3

.

11.

The

nu

mb

er v

alu

e o

f th

e co

effi

cien

t is

___

____

_ . T

his

mea

ns

we

can

elim

inat

e an

swer

ch

oic

es (

circ

le a

ll)

A

|

B

|

C

|

D

.

12.

The

corr

ect

answ

er c

ho

ice

is

A

|

B

|

C

|

D

.

-IN

DE

PEN

DEN

T P

RA

CTI

CE-

So

lve

each

pro

ble

m.

13.

The

exp

ress

ion

3 1

9x y

is

eq

uiv

alen

t to

39

y x

|

1 39y x

|

3y x

.

14.

The

exp

ress

ion

2

35x yz

is

eq

uiv

alen

t to

2

35

x yz

|

3 25

z xy

|

3

25

yz x

.

15.

The

exp

ress

ion

2

1

34 2a

b

c

is e

qu

ival

ent

to

3 2

8c ab

|

3

22c

ab

|

3 2

2

c ab

.

Zi

ng

ers

1 3

7.

In a

nsw

er c

ho

ice

G, w

hat

err

or

was

mad

e in

sim

plif

yin

g 14 8

?

8.

Des

crib

e a

set

of

answ

er c

ho

ices

fo

r w

hic

h C

hri

s’s

met

ho

d m

igh

t n

ot

wo

rk s

o

w

ell.

-GU

IDED

PR

AC

TIC

E-

Rea

d t

he

pro

ble

m c

aref

ully

.

Whi

ch e

xpre

ssio

n is

equ

ival

ent

to 3

2x

1 y6z5

3x4yz

7?

A xy

5 z12

27

C x3 z

12

9y7

B x3 z

12

27y7

D

z2

x3 y7

9.

Bec

ause

all

answ

er c

ho

ices

incl

ud

e p

osi

tive

exp

on

ents

, rew

rite

th

e g

iven

ex

pre

ssio

n w

ith

po

siti

ve e

xpo

nen

ts. T

hen

sim

plif

y it

.

21

65

47

23

3 3

3

xy

z

xyz

10.

Wh

ich

sh

ow

s th

e co

rrec

t si

mp

lific

atio

n o

f 32 (

3)?

21

21

33

(3)

99

99

9

|

21

21

33

(3)

33

33

3

.

11.

The

nu

mb

er v

alu

e o

f th

e co

effi

cien

t is

___

____

_ . T

his

mea

ns

we

can

elim

inat

e an

swer

ch

oic

es (

circ

le a

ll)

A

|

B

|

C

|

D

.

12.

The

corr

ect

answ

er c

ho

ice

is

A

|

B

|

C

|

D

.

-IN

DE

PEN

DEN

T P

RA

CTI

CE-

So

lve

each

pro

ble

m.

13.

The

exp

ress

ion

3 1

9x y

is

eq

uiv

alen

t to

39

y x

|

1 39y x

|

3y x

.

14.

The

exp

ress

ion

2

35x yz

is

eq

uiv

alen

t to

2

35

x yz

|

3 25

z xy

|

3

25

yz x

.

15.

The

exp

ress

ion

2

1

34 2a

b

c

is e

qu

ival

ent

to

3 2

8c ab

|

3

22c

ab

|

3 2

2

c ab

.

x4 · z

7 · z

5x3

z12

x · y

· y6

27y7

1 ___

27

Inst

ead

of

14 d

ivid

ed b

y 8,

G u

ses

14 m

inu

s 8.

Ch

oic

es t

hat

are

alik

e ex

cep

t fo

r o

ne

vari

able

30

Alg

eb

ra I

Zin

ge

rs

Solv

ing

th

e M

ost

-Mis

sed

STA

AR

Tes

t It

ems

A.1

1B

Sim

plify

num

eric

and

alge

brai

c ex

pres

sions

usin

g th

e la

ws

of e

xpon

ents

, inc

ludi

ng in

tegr

al a

nd

ratio

nal e

xpon

ents

.

2

STA

AR A

lgeb

ra I

Zin

ger

s S

olv

ing

th

e M

ost

Mis

sed

Rea

din

ess

Test

Item

s

ZIN

GER

15

-RE

AD

AN

D U

ND

ER

STA

ND

-

Rea

d t

he

pro

ble

m c

aref

ully

. 60%

of

stu

den

ts m

isse

d t

his

on

e!

Whi

ch e

xpre

ssio

n is

equ

ival

ent

to 14

a4 b6 c

10

8a2b3 c

5?

STAA

R Al

gebr

a I 2

016

#10

F 7a

2 b3

4c15

H

7a6 b

3

4c5

G

6a2 b

9

c15

J

7b2 c

2

4a2

1.

The

pro

ble

m g

ives

an

alg

ebra

ic _

____

____

____

____

____

wri

tten

as

a fr

acti

on

.

Yo

u a

re a

sked

to

fin

d a

n _

____

____

____

____

____

exp

ress

ion

.

2.

The

valu

e o

f th

e co

rrec

t an

swer

is a

lway

s

the

sam

e as

|

d

iffe

ren

t fr

om

th

e va

lue

of

the

giv

en e

xpre

ssio

n.

-PLA

N A

ND

SO

LVE-

R

ead

wh

at e

ach

stu

den

t th

inks

.

Ch

ris

thin

ks. .

.

I will

look

at

each

ans

wer

cho

ice

to s

ee

if I c

an e

limin

ate

som

e w

rong

one

s.

The

coef

ficie

nt 14 8

doe

s no

t eq

ual 6

,

so I

can

elim

inat

e G

. Nex

t, t

he v

aria

ble

expr

essi

on

4 2a a

is t

he s

ame

as

42

aa

or

6 a, s

o I c

an e

limin

ate

F an

d J.

My

choi

ce is

H.

Ja

mie

th

inks

. . .

Sinc

e th

e an

swer

cho

ices

hav

e no

ne

gativ

e ex

pone

nts,

I w

ill r

ewrit

e th

e va

riabl

es w

ith p

ositi

ve e

xpon

ents

. I’ll

fli

p va

riabl

es w

ith n

egat

ive

expo

nent

s to

writ

e th

em w

ith p

ositi

ve e

xpon

ents

.

4

64

6

33

1414

88

ab

ab

bb

102

5

25

10

ca

c

ac

c o

r 6

3

57 4a

b c

My

choi

ce is

H.

3.

Ch

ris

firs

t co

mp

ared

th

e

coef

fici

ent

|

var

iab

les

of

the

giv

en e

xpre

ssio

n

wit

h t

he

answ

er c

ho

ices

.

4.

Jam

ie n

oti

ced

th

at a

ll th

e an

swer

ch

oic

es h

ad v

aria

ble

s w

ith

___

____

____

____

ex

po

nen

ts.

5.

Bo

th C

hri

s an

d J

amie

co

mb

ined

th

e sa

me

vari

able

s w

ith

dif

fere

nt

exp

on

ents

by

mu

ltip

lyin

g a

nd

div

idin

g

|

add

ing

an

d s

ub

trac

tin

g

th

e ex

po

nen

ts.

-LO

OK

BA

CK-

An

swer

eac

h q

ues

tio

n.

6.

The

corr

ect

answ

er c

ho

ice

is _

____

___

.

A

.11B

Si

mpl

ify n

umer

ic an

d al

gebr

aic

expr

essio

ns u

sing

the

law

s of

exp

onen

ts, i

nclu

ding

inte

gral

and

ra

tiona

l exp

onen

ts.

2

STA

AR A

lgeb

ra I

Zin

ger

s S

olv

ing

th

e M

ost

Mis

sed

Rea

din

ess

Test

Item

s

ZIN

GER

15

-RE

AD

AN

D U

ND

ER

STA

ND

-

Rea

d t

he

pro

ble

m c

aref

ully

. 60%

of

stu

den

ts m

isse

d t

his

on

e!

Whi

ch e

xpre

ssio

n is

equ

ival

ent

to 14

a4 b6 c

10

8a2b3 c

5?

STAA

R Al

gebr

a I 2

016

#10

F 7a

2 b3

4c15

H

7a6 b

3

4c5

G

6a2 b

9

c15

J

7b2 c

2

4a2

1.

The

pro

ble

m g

ives

an

alg

ebra

ic _

____

____

____

____

____

wri

tten

as

a fr

acti

on

.

Yo

u a

re a

sked

to

fin

d a

n _

____

____

____

____

____

exp

ress

ion

.

2.

The

valu

e o

f th

e co

rrec

t an

swer

is a

lway

s

the

sam

e as

|

d

iffe

ren

t fr

om

th

e va

lue

of

the

giv

en e

xpre

ssio

n.

-PLA

N A

ND

SO

LVE-

R

ead

wh

at e

ach

stu

den

t th

inks

.

Ch

ris

thin

ks. .

.

I will

look

at

each

ans

wer

cho

ice

to s

ee

if I c

an e

limin

ate

som

e w

rong

one

s.

The

coef

ficie

nt 14 8

doe

s no

t eq

ual 6

,

so I

can

elim

inat

e G

. Nex

t, t

he v

aria

ble

expr

essi

on

4 2a a

is t

he s

ame

as

42

aa

or

6 a, s

o I c

an e

limin

ate

F an

d J.

My

choi

ce is

H.

Ja

mie

th

inks

. . .

Sinc

e th

e an

swer

cho

ices

hav

e no

ne

gativ

e ex

pone

nts,

I w

ill r

ewrit

e th

e va

riabl

es w

ith p

ositi

ve e

xpon

ents

. I’ll

fli

p va

riabl

es w

ith n

egat

ive

expo

nent

s to

writ

e th

em w

ith p

ositi

ve e

xpon

ents

.

4

64

6

33

1414

88

ab

ab

bb

102

5

25

10

ca

c

ac

c o

r 6

3

57 4a

b c

My

choi

ce is

H.

3.

Ch

ris

firs

t co

mp

ared

th

e

coef

fici

ent

|

var

iab

les

of

the

giv

en e

xpre

ssio

n

wit

h t

he

answ

er c

ho

ices

.

4.

Jam

ie n

oti

ced

th

at a

ll th

e an

swer

ch

oic

es h

ad v

aria

ble

s w

ith

___

____

____

____

ex

po

nen

ts.

5.

Bo

th C

hri

s an

d J

amie

co

mb

ined

th

e sa

me

vari

able

s w

ith

dif

fere

nt

exp

on

ents

by

mu

ltip

lyin

g a

nd

div

idin

g

|

add

ing

an

d s

ub

trac

tin

g

th

e ex

po

nen

ts.

-LO

OK

BA

CK-

An

swer

eac

h q

ues

tio

n.

6.

The

corr

ect

answ

er c

ho

ice

is _

____

___

.

22%

40%

27%

10%

equ

ival

ent

exp

ress

ion

po

siti

ve

H

Algebra I Zingers Solving the Most-Missed STAAR Test Items © Sirius Education Solutions30–31


9 781943 008469Printed in Texas on recycled paper.

ALGEBRA I ZINGERSSolving the Most-Missed STAAR® Test Items


• Builds test-taking skills and confidence.• Engages all students with challenging test items.• Promotes student thinking with interactive instruction.

Visit SiriusEducationSolutions.com for additional STAAR EOC resources.

Part 1: ZINGERSZinger 1 41% IncorrectZinger 2 54% IncorrectZinger 3 49% IncorrectZinger 4 60% IncorrectZinger 5 44% IncorrectZinger 6 53% IncorrectZinger 7 49% IncorrectZinger 8 53% IncorrectZinger 9 41% IncorrectZinger 10 53% IncorrectZinger 11 49% IncorrectZinger 12 53% IncorrectZinger 13 35% IncorrectZinger 14 43% IncorrectZinger 15 60% IncorrectZinger 16 51% IncorrectZinger 17 41% IncorrectZinger 18 57% IncorrectZinger 19 48% IncorrectZinger 20 46% Incorrect

Part 2: ON YOUR OWN16 Mixed Readiness TEKS

STAAR Practice Items

ALGEBRA I ZINGERS CONTENTS



Use with your class for free!

© S

irius

Edu

catio

n So

lutio

ns

1 A DB C

2 F JG H

3 A DB C

4 F JG H

5

.

0

1

2

3

4

5

6

7

8

9

.

0

1

2

3

4

5

6

7

8

9

.

0

1

2

3

4

5

6

7

8

9

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0

1

2

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5

6

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8

9

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0

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9

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0

1

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5

6

7

8

9

.

0

1

2

3

4

5

6

7

8

9

+

–

6 F JG H

7 A DB C

8 F JG H

9 A DB C

10 F JG H

11 A DB C

12

.

0

1

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7

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9

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0

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0

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5

6

7

8

9

+

–

13 A DB C

14 F JG H

15 A DB C

16 F JG H

Name Class Date Form

STAAR Algebra I Practice Test B Student Answer Sheet

17 A DB C

18 F JG H

19 A DB C

20 F JG H

21

.

0

1

2

3

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5

6

7

8

9

.

0

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9

.

0

1

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1

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0

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7

8

9

+

–

22 F JG H

23 A DB C

24 F JG H

25 A DB C

26 F JG H

27 A DB C

28

.

0

1

2

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7

8

9

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0

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+

–

29 A DB C

30 F JG H

31 A DB C

32 F JG H

33 A DB C

34 F JG H

35 A DB C

36 F JG H

37 A DB C

38 F JG H

39 A DB C

40 F JG H

41 A DB C

42 F JG H

43 A DB C

44 F JG H

45 A DB C

46 F JG H

47

.

0

1

2

3

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5

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7

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9

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0

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9

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.

0

1

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8

9

+

–

48 F JG H

49 A DB C

50 F JG H

51 A DB C

52 F JG H

53 A DB C

54 F JG H

© S

irius

Edu

catio

n So

lutio

ns

1 A DB C

2 F JG H

3 A DB C

4 F JG H

5

.

0

1

2

3

4

5

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7

8

9

.

0

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8

9

.

0

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0

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6

7

8

9

.

0

1

2

3

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5

6

7

8

9

+

–

6 F JG H

7 A DB C

8 F JG H

9 A DB C

10 F JG H

11 A DB C

12

.

0

1

2

3

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9

.

0

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9

.

0

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0

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9

.

0

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5

6

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8

9

+

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13 A DB C

14 F JG H

15 A DB C

16 F JG H

Name Class Date Form

STAAR Algebra I Practice Test A Student Answer Sheet

17 A DB C

18 F JG H

19 A DB C

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ALGEBRA I EOCPractice Test—Form B



ALGEBRA I EOCPractice Test—Form A



ALGEBRA I EOCPractice Tests—Forms A & BTeacher’s Edition



Pass 2ƒ 3/6/15

Copyright © by Sirius Education Solutions LLC. All rights reserved. No part of this work may be reproduced or distributed in any form or by any means, electronic, mechanical, photocopying, scanning, recording, or stored in a database or retrieval system, without the prior written permission of the publisher.


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Table of Contents Form A Answer Key ....................................................................................................... 1 Form A Solutions ........................................................................................................... 2 Form A Answer Sheet ................................................................................................... 6 Form B Answer Key ....................................................................................................... 7 Form B Solutions ........................................................................................................... 8 Form B Answer Sheet ................................................................................................. 13

Copyright © by Sirius Education Solutions LLC. All rights reserved. No part of this work may be reproduced or distributed in any form or by any means, electronic, mechanical, photocopying, scanning, recording, or stored in a database or retrieval system, without the prior written permission of the publisher.


Printed in Texas.

Possession of this publication in print format does not entitle users to convert this publication, or any portion of it, into electronic format. Thank you for respecting the copyright and the hard work involved in creating this product.

Sirius_STAAR_A1_PracTest-TE_P2ƒ.indd 2 3/6/15 9:49 AM

Pass 2ƒ 3/6/15

1

STAAR Algebra I Practice Test – Form A Answer Key

© Sirius Education Solutions 1

Item Number

Reporting Category

Readiness or Supporting

Content Student Expectation

Correct Answer

1 4 Readiness A.7(B) A 2 1 Readiness A.1(D) H 3 5 Readiness A.9(D) D 4 3 Readiness A.6(F) H 5 2 Readiness A.4(A) 16 6 1 Supporting A.1(A) F 7 3 Readiness A.6(C) C 8 2 Supporting A.3(B) F 9 3 Readiness A.5(C) A 10 2 Readiness A.4(A) J 11 4 Readiness A.7(B) D 12 3 Supporting A.6(A) –3 13 1 Supporting A.1(C) B 14 3 Readiness A.6(F) G 15 5 Readiness A.9(D) A 16 1 Supporting A.1(B) H 17 3 Supporting A.6(D) D 18 5 Supporting A.10(B) F 19 3 Supporting A.6(G) B 20 2 Readiness A.4(A) G 21 1 Readiness A.1(E) 4800 22 3 Readiness A.6(C) G 23 4 Readiness A.8(B) C 24 1 Readiness A.1(D) H 25 2 Readiness A.2(D) B 26 4 Supporting A.8(A) G 27 1 Readiness A.1(D) A 28 3 Readiness A.6(F) 45 29 2 Supporting A.4(B) B 30 3 Readiness A.6(B) F 31 5 Supporting A.11(A) C 32 1 Readiness A.1(E) J 33 3 Readiness A.6(C) B 34 5 Readiness A.10(A) H 35 2 Readiness A.2(D) C 36 4 Readiness A.8(B) F 37 2 Readiness A.2(B) A 38 3 Readiness A.6(B) H 39 2 Readiness A.2(B) B 40 5 Readiness A.10(A) H 41 3 Supporting A.6(E) C 42 4 Supporting A.7(C) J 43 5 Supporting A.9(B) C 44 4 Readiness A.8(B) H 45 2 Supporting A.2(C) B 46 3 Readiness A.6(B) J 47 4 Readiness A.7(B) –8.9 48 2 Supporting A.2(A) H 49 5 Readiness A.10(A) B 50 2 Supporting A.3(A) H 51 5 Supporting A.9(C) A 52 4 Supporting A.7(A) F 53 3 Readiness A.5(C) A 54 4 Supporting A.8(C) G

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Pass 2ƒ 3/6/15

2

STAAR Algebra I Practice Test – Form A Solutions

2 © Sirius Education Solutions

1 A The perimeter is twice the length plus twice the width. The length of the garden is 2.5 times its width, so you can solve as shown:

= += +==

w lw ww

w

574 2 2574 2 2(2.5 )574 782

2 H The line descends from left to right and

thus has a negative slope, which eliminates answer choices F and G. Because (0, 0) is part of the solution set, answer choice J can be eliminated.

3 D The parabola’s vertex, which represents

the golf ball’s maximum height, occurs at x = 1.5, which represents a time of 1.5 seconds.

4 H The initial rate of drainage is

300 270 30 108 5 3

− = =−

L/min, and the original

amount in the tank was 300 + 5(10) = 350 L. So, the equation that describes the new tank is y = 450 – 15x, where y is the amount of fuel remaining and x is the time. When y = 0, x = 30, so 30 minutes is the correct answer.

5 16 = − + =f 2(2) 5(2) 3(2) 2

− + =5(4) 3(2) 2 − + =20 6 2 16 . 6 F Because the daily high temperature

affects the number of caps sold and not vice versa, the daily high temperature is independent of the number of knit caps sold per day.

7 C The slope of the original line is 3 and its

y-intercept is –2, so its equation is = −y x3 2 . After halving the slope and

increasing the y-intercept by 2, the new equation is =y x1.5 .

8 F The table shows that as n increases by

1, a(n) increases by 4, so the expression must include the term 4n. When n = 0, a(n) = 3, so the expression is a(n) = 4n + 3.

9 A When put in slope-intercept form, the

equation is = −y x3 3.2

So, the graph with a

positive slope and a y-intercept at −(0, 3) is correct.

10 J Solve for y:

+ == − +

− +=

= − +

x yy x

xy

y x

4 6 36 4 3

4 36

2 13 2

11 D To solve, you may realize that the

correct value of x is found where the two lines intersect, when x = 1. Alternatively, you can solve the equation directly:

− = − +− =

==

x xx

xx

4 3 2 36 3 3

6 61

12 –3 Use any two points on the graph, for

example (0, 4) and (1, 1), to find the slope

using −

=−

y ym

x x2 1

2 1.

− −= = = −−

m 1 4 3 31 0 1

13 B The initial cost of the laptop is $645,

and an additional $17 is added each year. Algebraically, this is written as 645 + 17n.

14 G You can see that the c-intercept of the

equation, 12, did not change, but the slope increased by 0.15 – 0.1, or 0.05. In this context, the slope is the cost per channel in dollars. $0.05 represents 5 cents.

15 A The parabola opens upward, so it has a

minimum point, not a maximum point. The other statements are true.

16 H Although the other answer choices can

describe the ordered pairs in one or two rows in the table, only H represents the ordered pairs in all five rows.



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STAAR ALGEBRA I — 2016 Edition New TEKS

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Visit SiriusEducationSolutions.com for additional STAAR ... · Algebra I EOC: Readiness Review and Practice 1 A.7C Lesson 13 9 A.3B Lesson 3 2 A.9D Lesson 15 10 A.11B Lesson 14