7th Grade Math Benchmark #2 online 1617 Grade Math Benchmark #2 online 16 17 Directions: Read the question. Fill in the bubble next to the corresponding question number on your answer

Fruitvale Assessment

CCSS Math 7th Grade ID: 201781

Teacher Edition

7th Grade Math Benchmark #2 online 1617

Directions: Read the question. Fill in the bubble next to the corresponding question number on your answer sheet.

Sample Question Sample Answer Sheet

Sample Item Not Available

1. A B C D

2. A B C D

3. A B C D

4. A B C D

5. A B C D

Scoring rubric for question 1:

1

Grade: 7th Grade >> Expressions and Equations >> Expressions and Equations >> MA.7.EE.A.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.

Enter the value of p so the expression is equivalent to .

n5

6 −

1

3 p (5 2n− )

Points

1 1

6

0

2

Grade: 7th Grade >> Expressions and Equations >> Expressions and Equations >> MA.7.EE.A.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.

While Chris was driving a Canadian car, he figured out a way to mentally convert the outside temperature that the car displayed in degrees Celsius to degrees Fahrenheit. This was his method: "I took the temperature it showed and doubled it. Then I subtracted onetenth of that doubled amount. Finally, I added 32 to get the Fahrenheit temperature." The standard expression for finding the

temperature in degrees Fahrenheit when the Celsius reading is known is , where C is the

temperature in degrees Celsius. Was Chris's method correct?

C 329

5 +

EADMS © 2016 Adrylan Communications, Inc.All content is the private property of the copyright holders. Page 1

7th Grade Math Benchmark #2 online 16-17 | ID: 201781Generated: 6/2016

Scoring rubric for question 2: Points

1

If C is the temperature in degrees Celsius, then the first step in Chris's calculation was to find 2C.

Then, he subtracted onetenth of that quantity, which yielded . Finally, he added 32. The

resulting expression was . This could be rewritten as Combining the first

two terms, we got Chris's calculation was correct.

1

10 (2C )

2C 32−1 10 (

2C ) + 2C C 32.−1 5

+

2C C 32 C 32 C 32 C 32.−1 5

+ = (2 −1 5 )

+ = (10 5

−1 5 )

+ =9 5

+

0

3

Grade: 7th Grade >> Expressions and Equations >> Expressions and Equations >> MA.7.EE.B.4.a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

Select all the correct answers.

Which of the following equations have a solution that is negative?

A 5x −−11

2 =

7

2

B −x 3

+7

3 =

13

3

C x −3

4 −

9

2 =

39

8

D 6x 5 40− =

E x −3

2 −

19

4 =

73

4



4


Select all correct answers.

Which of the following expressions represent the sum of the areas of the triangles shown?

A 6 ∙1

2 [ (x 4+ ) + (x 2− ) ]

B 61

2 [ (x 4+ ) + (x 2− ) ]

C 3[ (x 4+ ) + (x 2− ) ]

D 3(2x 2+ )

E 12x 12+



5


Which of the equations shown correctly rewrites an expression that represents the cost for a pair of shoes that is marked down 20% of the regular price r when the sales tax is 5% of the markdown price? A 1.05 0.21r(0.2r ) =

B 1.05 0.84r(r 0.20r− ) =

C 1.05r 0.20r 0.85r− =

D 1.05 1.26r(r 0.20r+ ) =

6


Which expression is equivalent to ? −8(10x 3− ) A −80x 24+

B −80x 24−

C −80x 3−

D −80x 3+

7


Enter the value of n so the expression is equivalent to

(−y 5.3+ ) + (7.2y 9− ) 6.2y n.+





Points 1 3.7 or its equivalent 0

8

Grade: 7th Grade >> Expressions and Equations >> Expressions and Equations >> MA.7.EE.B.3 Solve multistep reallife and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

Enter the value of the expression.

2.3 ∙ (4 12+ )

Points 1 36.8 or its equivalent 0



9


Aimee has $10.00 to spend on school supplies. The following table shows the price of each item in the school store. No sales tax is charged on these items.

Determine if Aimee can buy the combination of items with her $10.00. Select Yes or No for each combination of items.

Item Price Eraser $0.89

Folder $1.29

Notebook $2.35

Pen $0.70

Yes No

5 folders and 5 pens

6 pens and 6 erasers

1 pen and 4 notebooks

3 folders and 7 erasers

4 folders and 2 notebooks



For Questions 10 11:



10


Shelly incorrectly solves the equation Her work is shown in the chart above.

Select all the steps that show an error based on the the equation.

7.1

2 (c 6+ ) =

71

2 (c 6+ ) =

Step 1: c 6 71

2 + =

Step 2: c 7 61

2 = +

Step 3: c 131

2 =

Step 4: c 13 2= ÷

Step 5: c 6=1

2

11


Add a point to the show the correct solution of the given equation.

71

2 (c 6+ ) =




The following questions are not about a passage.

Points 1 Student places point on 8 0

12

Grade: 7th Grade >> Expressions and Equations >> Expressions and Equations >> MA.7.EE.B.4.a Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

The entry fee to the fair is $4.00. Each ride requires a ticket that costs $0.50. Heidi spent a total of $12.00

How many tickets did Heidi purchase? A 6

B 16

C 24

D 32



13

Grade: 7th Grade >> Expressions and Equations >> Expressions and Equations >> MA.7.EE.B.4.b Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.

Which number line shows the solution to the inequality −3x 5 −2− <

A

B

C

D




14

Grade: 7th Grade >> Expressions and Equations >> Expressions and Equations >> MA.7.EE.B Solve reallife and mathematical problems using numerical and algebraic expressions and equations.


David, Zach, and Joshua are going to dinner at a nice restaurant and will share the cost of the total meal.

l David will pay 0.32 of the cost. l Zach will pay 38% of the cost. l Joshua will pay the remainder of the cost.

Joshua thinks that he will pay of the cost. Is Joshua correct? Justify your answer:

1

4

Points

2

Goal/Proficient:

l Student correctly states that Joshua is incorrect;

l Student correctly calculates that he is paying 30% which is . (vs. 25% or ). 3 10

1 4

1

Basic:

l Student correctly completes one of Goal criteria.

0

Below Basic:

l Student correctly completes none of Goal criteria.



15

Grade: 7th Grade >> Expressions and Equations >> Expressions and Equations >> MA.7.EE.B Solve reallife and mathematical problems using numerical and algebraic expressions and equations.


Information from previous question:

David, Zach, and Joshua are going to dinner at a nice restaurant and will share the cost of the total meal.

l David will pay 0.32 of the cost. l Zach will pay 38% of the cost. l Joshua will pay the remainder of the cost.

The total cost of the dinner is $112.50. How much will David, Zach, and Joshua each pay?

David will pay:

Zach will pay:

Joshua will pay:

Use this space to compute and explain your answer:



Scoring rubric for question 15: Points

2

Goal/Proficient:

l Student correctly computes answers: David = $36.00, Zach = $42.75, Josh = $33.75. l Student explains computation.

1

Basic:

l Student correctly completes one of Goal criteria.

0

Below Basic:

l Student correctly completes none of Goal criteria.



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7th Grade Math Benchmark #2 online 1617 Grade Math Benchmark #2 online 16 17 Directions: Read the question. Fill in the bubble next to the corresponding question number on your answer