Algebra 1 EOC SOL Simulation - Montgomery County Public ... › UserFiles › Servers › Server_92164 › File › Migrati… · Algebra 1 EOC SOL Simulation Page 3 of 27 Chesterfield

Algebra 1 EOC

SOL Simulation

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Chesterfield County Public Schools Department of Mathematics

2011-2012

Algebra 1 EOC SOL Simulation Page 1 of 27 Chesterfield County Public Schools 2010-2011

Reporting Category: Expressions and Operations (1 -12) SOL A.1 1 Which of the following algebraic expressions could represent thirty less than one-half the value of x?

A 1

302

x

B 1

302

x

C 1

2(x – 30)

D 1

302

x

SOL A.2 2 Dequan used tiles to model an expression. Key: = x2 = - x2 = x = - x = 1 = -1

This is Dequan’s resulting model:

Which of the following is equivalent to Dequan’s model?

A 2 22 4 6 3 4x x x x

B 2 24 2 6 3 4x x x x

C 3 1 2x x

D

4 3 2

2

9 18 12

3

x x x

x


SOL A.2

3 When completely factored, 22 32x equals –

A 2x(x – 16)

B 2(x – 4)(x – 4)

C 2(x + 4)(x – 4)

D (x – 16)(x + 2)

SOL A.3

4 Simplify: 35 9 2 64

A -9

B -1

C 7

D 52

SOL A.2 5 If the dimensions of a rectangular playground can be represented as (3x + 16) and (2x + 3), then what is the area of the playground?

A 26 24 19x x

B 26 41 48x x

C 25 41 48x x

D 25 24 19x x


SOL A.2

6 What is the simplified form of

22 3

4 8 2

2 3

4

a b ab c

a b c?

A 38ab c

B 3 3

3a

b c

C 7 7 33a b c

D 3

3a

b c

SOL A.1 7 The path of a model rocket can be represented by the equation

2( ) 15 16h t t t , where h(t) is the height, in feet, of the

rocket at any given time, t. What is the height of the model

rocket after 3 seconds from launch? A 70 ft

B 58 ft

C 55 ft

D 52 ft

SOL A.2

8 What is the simplified form of 2

2 33x y ?

A 4 69x y

B 4 59x y

C 6

4

9y

x

D 5

4

9y

x


SOL A.2 9 The area of a rectangular piece of carpet is represented by the

expression 4 3 220 15 35n n n . If the width of the carpet is 25n ,

which of the following could represent the length of the carpet?

A 24 3 7n n

B 8 6 44 3 7n n n

C 24 3n n

D 215 10 30n n

SOL A.2 10 Which of the following could represent one of the factors of the

expression 23 7 6t t ?

A (t + 3)

B (3t – 2)

C (3t + 2)

D (t – 6)

SOL A.1

11 What is the value of 35

3

xy

zif x = 2, y = 343, and z = 3?

A 2

B 1

3

C - 2

D 32

9


SOL A.3

12 Written in simplest radical form, 16 2548a b is equal to -

A 4 52 12a b

B 8 122 12a b b

C 4 54 3a b

D 8 124 3a b b


Reporting Category: Equations and Inequalities (13 -30)

SOL A.6 13 Which most likely represents the graph of 2x - y = 2? A C B D


SOL A.6 14 What is the slope of the line 4x – 8y = 20?

A 5

2 C

1

2

B 1

2 D 2

SOL A.4 15 A local kennel has twice as many cats (c) as dogs (d). When full, the kennel has a total of 30 cats and dogs. Which system of equations could be used to find the number of cats in the kennel when it is full? A c = 2d

c + d = 30

B d = 2c

c + d = 30

C c = d + 2 c + d = 30

D c = d – 2

c + d = 30


SOL A.5 16 Identify the property that justifies the work between Step 3 and Step 4.

Step 1 Step 2

Step 3

Step 4

Step 5

A Distributive Property B Division Property of Inequality C Multiplication Property of Inequality D Identity Property of Multiplication SOL A.4

17 3 0

2 7

x y

x y

Which is the solution to the system of equations shown?

A 1 1

10 , 32 2

C 1

3,3

B 3, 1 D 3, 1

x

x

x

x

x

11 3 4

11 4 3 4 4

15 3

1 115 3

3 3

5


SOL A.6 18 The graph of y = 3x – 6 is shown. If the line is translated 4 units up, which equation will best describe the new line? A y = 3x – 10

B y = 3x – 2

C y = 3x + 4

D y = 3x + 6


SOL A.4 19 What is the solution to the following equation? 6(x – 3) = 2(13 – x) A x = 1

B x = 5

2

C x = 11

2

D x = 11

SOL A.4

20 What are the solutions of the equation 22 3x x ?

A 1

,32

B 1

3,2

C 3

1,2

D 3

, 12


SOL A.5

21 Which system of linear inequalities best represents the graph shown?

A 2

1

y

y x

B 2

1

y

y x

C 2

1

y

y x

D 2

1

y

y x

SOL A.4 22 Describe the type of solution for the linear system of equations

defined by 2 3 15

6 4 12

x y

y x

A no solution B infinite solutions C one solution

D two solutions


SOL A.4

23 If 7 4w a b , which of the following equations is solved for a?

A 7

4

w ba

B w

a b47

C 4

7

w ba

D w

a b287

SOL A.6 24 A section of a hiking trail begins at the coordinates (-7, 5) and

follows a straight path that ends at the coordinates (3, 9). What is the rate of change of the hiking trail?

A 5

2 C

2

5

B 2

5 D

5

2


SOL A.4 25 Samantha wrote these steps when solving an equation. step 1 3 + 2(x + 5) = x +18

step 2 3 + 2x + 10 = x +18

step 3 2x + 3 + 10 = x +18 step 4 2x + 13 = x +18

step 5 2x = x + 5

step 6 1x = 5 step 7 x = 5

Which property justifies the work shown between step 6 and step 7? A Multiplication Property B Inverse Property of Multiplication C Distributive Property D Identity Property of Multiplication SOL A.5 26 What values of x makes the inequality true?

2 4 9 4 13x x x

A : 1x x C : 1x x

B : 7x x D : 7x x

SOL A.4

27 What are the roots of the equation x x2 6 0 ?

A {-2, 3} B {-3, 2} C {-6, 1} D {-3, -2}


SOL A.4

28 What is the solution of the equation 1

6 12 8 5 142

x x ?

A x = -8

B x = -3

C x = 5

D x = 8

SOL A.5 29 The total cost (c) in dollars of renting a sailboat for n days is

given by the inequality 120 60c n . What is the maximum

number of days for which a sailboat could be rented if the total cost was $360? A 2

B 4

C 6

D 8

SOL A.6

30 A line passes through the point (-3, 2) and has a slope of 1

3 .

Which of the following points also lies on this line? A (-2, 5) B (5, 6)

C (-9, 1)

D (6, 5)


Reporting Category: Functions and Statistics (31 -50) SOL A.7

31 Which of the following representations best describes the line graphed? A C B D

x y

-7 -5

-3 -1

-1 4

1 7

x y

-7 -5

-5 -2

-3 -1

7 1

-9 -2 -1

1

-8 -5 4

6

-9 -5 -1

1

-8 -2 4

7


SOL A.7 32 Which function has an x-intercept of 4?

A 3 16

( )4

xf x

B ( ) 4 3f x x x

C 2( ) 2 8f x x x

D ( ) 4f x x

SOL A.9 33 The class results for a math test had a mean score of 78.35 and a

standard deviation of 6.24. If a student’s score was 87, what was the student’s z-score for the test, rounded to the nearest hundredth?

A 1.39 B 1.03 C 0.83 D -1.39 SOL A.7 34 A function g is described

g(x) = (x – 3)2 + 6

The domain of g is all real numbers greater than 0. The range of g is all real numbers greater than or equal to –

A 9 B 6 C 3 D - 3


SOL A.8 35

Let n represent the number of calories a person burns.

Let t represent the amount of time, in minutes, spent running.

A person burned 275 calories running for 22 minutes. The next day the same person burned 450 calories running for 36 minutes. Which equation best describes this relationship?

A 6050n t

B 6050nt

C 12.5n t

D 12.5t n

SOL A.11 36 The data below represents the number of passengers at International Jetport.

Passengers at International Jetport

Year Number of Passengers (millions)

1980 33.4

1985 42.1

1989 47.8

1995 58.2

1998 65.7

2005 78.4

Based on the data shown, predict about how many passengers,

in millions, used International Jetport in the year 2011? A 84

B 87

C 91

D 93


SOL A.7 37 If f(-3) = 14, which could be the equation for f(x)?

A f(x) = -3x – 5 B f(x) = x – 17 C f(x) = 4x + 2 D f(x) = 5 – 3x SOL A.10 38 The box-and-whisker plot shows the number of hours spent on the internet in a week by male and female students in a chorus class.

There are 20 male students in the chorus class. There are 32 female students in the chorus class.

What is the total number of students that spend fewer than 8 hours a week on the internet?

A 39

B 16

C 13

D 9

Male Students

Female Students


SOL A.8 39 Which of the following relations represents an inverse variation? A B C D SOL A.7 40 Given the relation B = {(4, 3), (5, 8), (9, 7), (x, 5)}. Which of the

following values for x will make the relation B a function?

A 4 B 5 C 7 D 9

x 6 4 3 -2 y 36 24 18 -12

x 2 3 4 -6 y 18 12 9 -6

x 2 5 8 10 y 5 8 11 13

x -6 -4 5 15 y 18 12 -15 -45


SOL A.9 41 The data shown represents the number of text messages sent from various phones. The data has a mean of 34 and a standard deviation of 8.1, rounded to the nearest tenth. {19, 23, 26, 29, 32, 33, 37, 38, 40, 42, 43, 46} How many of these data points have a z-score greater than -0.3? A 3 B 4 C 6 D 8 SOL A.7 42 Richard kept a log of the number of hours he spent fishing on vacation and the total number of fish he caught. The fishing log data is displayed in the table. Fishing Log Which function best describes the relationship between the number of hours spent fishing and the number of fish caught? A f(x) = x + 5

B f(x) = 3x + 1

C f(x) = 2x + 2

D f(x) = 4x

Number of hours, x 1 3 5 8 10 15

Number of fish caught, y 4 8 12 18 22 32


SOL A.8 43 A painting contractor determined the average amount of time needed to paint a house.

When 2 painters are used it takes 20 hours to paint the

exterior of a house.

When 6 painters are used it takes 2

63

hours to paint the

exterior of a house.

Let p represent the number of painters.

Let h represent the amount of time, in hours, required to paint a house.

Which statement is true about this relationship? A The time required to paint a house varies directly with the number of painters because h = 10p.

B The time required to paint a house varies directly with the number of painters because ph = 40.

C The time required to paint a house varies inversely with the number of painters because h = 10p.

D The time required to paint a house varies inversely with the number of painters because ph = 40.

SOL A.9

44 The data displays fuel efficiency ratings for ten vehicles classified by the U.S. Environmental Protection Agency as hybrid vehicles. {48, 40, 35, 34, 29, 27, 26, 24, 21, 20} What is the approximate standard deviation of the fuel efficiency ratings? A 30.4 B 28 C 8.9 D 8.4


SOL A.7 45 Select all of the following functions that have a zero of -2?

I. 2 5 6f x x x IV. 24 11 6k x x x

II. 5 2g x x x V. 3 6p x x

III. 3

( 2)2

h x x

A I and III

B I, IV, and V

C I, III, and IV

D I, II, III, and IV


SOL A.10

46

Using the graph, which of the following statements is NOT true? A The data for 1999 is more dispersed than the data for 1997.

B The lower 25% of the data for 1999 is less than the minimum value for

1997.

C The interquartile range for 1999 is more dispersed than the interquartile range for 1997.

D The data is spread more to the right of the median than to the left for

both 1997 and 1999.


SOL A.11

47 A study was conducted to investigate the number of collisions possible between bumper cars at an amusement park. Assuming that no two bumper cars can collide more than once, which of the following curves of best fit most closely describes the data in the table?

A 20.5 0.5y x x

B 20.5 0.5y x x

C y = 3.5x – 6

D y = 6x – 3.5

SOL A.7 48

What is the domain of the function graphed?

A : 3x x C : 3x x

B : 4y y D all reals

# of cars Possible collisions

1 0

2 1

3 3

4 6

5 10

6 15

7 21


SOL A.11 49 The cost of a ticket to Funland varies according to the season. Which of the following conclusions about the number of tickets purchased and the cost per ticket is best supported by the scatter plot shown?

A The cost per ticket increases as the number of tickets purchased increases.

B The cost per ticket decreases as the number of tickets purchased increases.

C The cost per ticket is unchanged as the number of tickets purchased increases.

D There is no relationship between the cost per ticket and the number of tickets purchased.


SOL A.7

50 The graph of 2 6k x x x is shown.

Identify each solution to k(x) = 0.

A {-6, -2, 3} B {-2, 3} C {-6, 3} D {-6, -2}

x

y


Algebra 1 EOC

SOL Simulation Answer Key 2011-2012 Expressions and Operations

1 D SOL A.1 2 B SOL A.2 3 C SOL A. 2 4 C SOL A.3 5 B SOL A.2 6 D SOL A.2 7 D SOL A.1 8 C SOL A.2 9 A SOL A.2 10 C SOL A.2 11 A SOL A.1 12 D SOL A.3 Equations and Inequalities 13 A SOL A.6 14 C SOL A.6 15 A SOL A.4 16 C SOL A.5 17 B SOL A.4 18 B SOL A.6 19 C SOL A.4 20 C SOL A.4 21 B SOL A.5 22 A SOL A.4 23 C SOL A.4 24 B SOL A.6 25 D SOL A.4 26 B SOL A.5 27 A SOL A.4 28 D SOL A.4 29 B SOL A.5 30 D SOL A.6

Functions and Statistics 31 B SOL A.7 32 D SOL A.7 33 A SOL A.9 34 B SOL A.7 35 C SOL A.8 36 B SOL A.11 37 D SOL A.7 38 C SOL A.10 39 B SOL A.8 40 C SOL A.7 41 D SOL A.9 42 C SOL A.7 43 D SOL A.8 44 D SOL A.9 45 C SOL A.7 46 D SOL A.10 47 A SOL A.11 48 C SOL A.7 49 B SOL A.11 50 B SOL A.7

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Algebra 1 EOC SOL Simulation - Montgomery County Public ... › UserFiles › Servers › Server_92164 › File › Migrati… · Algebra 1 EOC SOL Simulation Page 3 of 27 Chesterfield