2018-2019 7 grade math 2nd benchmark · 2019. 1. 10. · 2018-2019 7th grade math 2nd benchmark...

2018-2019

7th Grade Math

2nd Benchmark

Chattanooga Girls Leadership Academy Tennessee

Published by TE21, Inc. November 2018

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This benchmark assessment is intended for use with students registered in your classroom this school year. Your right to use of this document is limited to its delivery in whole to your students as a formative assessment, and for review and instructional purposes for those registered students within your classroom in the year of assessment delivery. Please note the

following restrictions regarding this benchmark assessment:

• No reproduction of the assessment in whole;

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Student Name:

CASE 7th Grade Math Do Not Reproduce

Page 1 Go to the next page

CALCULATOR INACTIVE

The items in this test are based on the Tennessee Academic Standards for Mathematics.

DIRECTIONS FOR THE CALCULATOR INACTIVE SECTION OF THE TEST: • Calculators may not be used during this test. • Read each problem carefully. • Choose the best answer from the choices given. • Fractions in some answer choices may have been

simplified. Check each answer choice to see if this has been done.

• Diagrams used in the test may not be drawn to scale. • Stop when you see the words “STOP. END OF

CALCULATOR INACTIVE SECTION.” • When you have completed the calculator inactive

questions, read and follow the directions at the end of this section of the test.



1. What is the decimal equivalent of 𝟖

𝟑 ?

A 2. 6̅

B 2.67

C 8.3

D 8. 3̅

2. What is the value of −𝟗𝟖. 𝟓 − (−𝟏𝟐. 𝟐𝟓) + (−𝟏𝟎𝟑. 𝟕𝟓)?

A 17.5

B 7

C −190

D −214.5

3. If a woodworker builds 𝟑

𝟕 chair in

𝟑

𝟒 hour, how long does it take for the woodworker to build

1 chair?

A 9

28 hour

B 4

7 hour

C 13

4 hours

D 31

9 hours

4. A geologist digs 5 feet down into the ground before taking a break. This process is repeated

3 times to create a hole that has a total depth of 15 feet.

Which equation represents the hole’s depth in relation to ground level?

A −5 ∙ 3 = −15

B −3 ∙ −5 = −15

C −3 ∙ 5 = 15

D 5 ∙ 3 = 15



5. A teacher asks students to simplify the expression shown mentally.

𝟔 + 𝟑

−𝟎.𝟏 + 𝟐.𝟗 −

𝟏

𝟐(𝟐

𝟑

𝟒 −

𝟒

𝟓)

What is the best estimate of the value of the expression?

A −5

B −1

C 2

D 8

6. A salad dressing recipe calls for 𝟕

𝟖 cup of olive oil for every

𝟏

𝟒 cup of balsamic vinegar. If a chef

has 1 cup of balsamic vinegar, how much olive oil does the recipe require?

A 44

7 cups of olive oil

B 31

2 cups of olive oil

C 2

3 cup of olive oil

D 2

7 cup of olive oil

7. If −𝟐(𝟓. 𝟓𝒙 − 𝟔. 𝟑) is equivalent to 𝒎𝒙 + 𝟏𝟐. 𝟔, what is the value of 𝒎?

A 11

B 3.5

C −3.5

D −11

8. A painter uses 𝟏𝟏

𝟐 gallons of paint to cover

𝟑

𝟒 of a wall. At this rate, how many gallons of paint

does it take to paint the entire wall?

A 1 gallon

B 11

8 gallons

C 2 gallons

D 21

4 gallons



9. What is the value of 𝟑𝟐. 𝟓 ÷ 𝟒. 𝟓 × −𝟒. 𝟓?

A −32.5

B −1.6

C 1.6

D 32.5

10. An experimental vehicle is able to travel 𝟑

𝟖 mile on

𝟏

𝟏𝟔 gallon of water. What is the rate at

which the vehicle can travel?

A 3

128 mile per gallon of water

B 1

8 mile per gallon of water

C 4 miles per gallon of water

D 6 miles per gallon of water



END OF CALCULATOR INACTIVE SECTION

DIRECTIONS: • Look back over your answers for the calculator inactive

questions. You will not be able to go back and work on these questions once you are given a calculator.

• Raise your hand to let your teacher know you are ready to begin the calculator active questions.

• Do not begin work on the calculator active test questions until your teacher has given you a calculator.

• When your teacher has given you a calculator, GO TO THE NEXT PAGE, and BEGIN the calculator active questions.

• Stop when you see the words “STOP. END OF MATH TEST.”



11. There are 60 dogs at a doggie daycare one Friday. If 𝟏

𝟑 of the dogs are large dogs,

𝟏

𝟔 of the dogs

are medium-sized dogs, and the remaining dogs are small dogs, which statement is true?

A There are 10 less large dogs than small dogs at the daycare.

B There are 10 more large dogs than small dogs at the daycare.

C There are 20 less large dogs than small dogs at the daycare.

D There are 20 more large dogs than small dogs at the daycare.

12. Which expression is equivalent to 𝒙 − 𝒚?

A −𝑥 + (−𝑦)

B −𝑥 + 𝑦

C 𝑥 + (−𝑦)

D 𝑥 + 𝑦

13. A contractor measures the rectangular yard shown to determine how much fencing to order.

The contractor needs to fence in the 3 sides of the yard not adjacent to the house.

Which two expressions represent the amount of fencing the contractor needs to order?

A 𝑥(𝑥 + 3.5)

B 2(𝑥) + (𝑥 + 3.5)

C 3𝑥 + 3.5

D 4𝑥 + 7

E 4(𝑥) + 2(𝑥 + 3.5)



Use the information given to answer questions 14-15. A senior class saves money for the school prom. The class currently has $𝟒𝟎𝟎 saved and wants a total of $𝟕, 𝟔𝟎𝟎 for the prom. The class saves $𝟖𝟎 each day. Part A 14. Which equation can be used to determine the number of days, d, it will take the class to reach

its goal?

A 80(𝑑 + 400) = 7,600

B 80𝑑 + 400 = 7,600

C 400𝑑 + 80 = 7,600

D 400(80 + 𝑑) = 7,600

Part B 15. How many days does it take the class to reach its goal?

A 90 days

B 100 days

C 244 days

D 305 days

16. A student saves money to buy a laptop. The student already has $𝟑𝟎𝟕. 𝟓𝟎 saved and puts aside

$𝟏𝟎𝟎 each month to help pay for the laptop. After 5 months, the total amount saved is 𝟕𝟓% of the total cost of the laptop.

How much more does the student need to save to buy the laptop rounded to the nearest cent?

A $125.00

B $166.67

C $201.88

D $269.17



17. A tourist wants to spend at most $𝟑, 𝟓𝟎𝟎 on a cross-country adventure. The tourist has already spent $𝟕𝟓.

If the tourist has 10 weeks left in the trip, which inequality and graph represent the maximum amount of money 𝒎 the tourist can spend per week to stay within budget?

A 𝑚 ≤ 342.5

B 𝑚 ≤ 342.5

C 𝑚 ≥ 342.5

D 𝑚 ≥ 342.5

18. Which situation involves opposite quantities combining to make 0?

A A person’s bank account balance is $850 before depositing $850 into the account.

B An elevator is at floor 10 and drops 5 floors to let a passenger off at floor 5.

C The record high temperature in March in Chicago, Illinois, is 84° Fahrenheit, and the record low is 0° Fahrenheit.

D The water cooler in an office contains 19 liters of water at the beginning of the day, and the employees drink 19 liters of the water.



19. Two shoppers are grocery shopping. Shopper 1 purchases 3 boxes of instant oatmeal, 2 gallons of chocolate milk, and 7 bottles of olive oil. Shopper 2 purchases a whole turkey and 2 gallons of chocolate milk. The table shows the prices for the items at the grocery store.

Item Price

whole turkey $𝟓𝟔. 𝟗𝟓

olive oil $𝟓. 𝟎𝟏

instant oatmeal $𝟖. 𝟗𝟗

chocolate milk $𝟓. 𝟖𝟗

When estimating prices to the nearest dollar, which statement is true?

A Shopper 1 spends about $1 more than shopper 2.

B Shopper 1 spends about $5 more than shopper 2.

C Shopper 2 spends about $1 more than shopper 1.

D Shopper 2 spends about $5 more than shopper 1.

20. A teenager receives a monthly allowance, 𝒎. The teenager spends 𝟑𝟎% of the allowance on

gas, 𝟒𝟓% of the allowance on clothing, and the remainder of the allowance on food. The amount the teenager spends on food can be represented by the expression, 𝒎 − 𝟎. 𝟑𝒎 − 𝟎. 𝟒𝟓𝒎.

Which two expressions also represent the amount the teenager spends on food?

A 0.25𝑚

B 0.52𝑚

C (1 − 0.3 − 0.45)𝑚

D (1 + 0.75)𝑚

E 1.75𝑚

21. The average baby is expected to increase his or her birthweight, 𝒃, by 𝟑𝟏𝟎% in 13 months.

Which expression represents a baby’s expected weight at 13 months?

A 0.31𝑏

B 310𝑏

C 𝑏 + 𝑏 + 𝑏 + 0.1𝑏

D 𝑏 + 𝑏 + 𝑏 + 𝑏 + 0.1𝑏



22. The inequality 𝟐𝒄 − 𝟑 < 𝟗 represents the amount of money a student can spend on 𝒄 candy bars. Which statement is true?

A The solution to the inequality is 𝑐 < 3, and it represents that the student can buy a maximum

of 3 whole candy bars.

B The solution to the inequality is 𝑐 < 3, and it represents that the student can buy a maximum of 2 whole candy bars.

C The solution to the inequality is 𝑐 < 6, and it represents that the student can buy a maximum of 6 whole candy bars.

D The solution to the inequality is 𝑐 < 6, and it represents that the student can buy a maximum of 5 whole candy bars.

23. A calligrapher that makes $𝟏𝟓. 𝟓𝟎 an hour addressing wedding invitations has already worked

15 hours this week. Which inequality and graph represent the number of additional hours, 𝒙, the calligrapher must work to make at least $𝟗𝟑𝟎 this week?

A 15.50𝑥 + 232.50 ≥ 930

B 15.50𝑥 + 15 ≥ 930

C 15.50𝑥 + 232.50 ≤ 930

D 15.50𝑥 + 15 ≤ 930



Use the information given to answer questions 24-25. Several bags of marbles of equal number are added to an empty jar. The total number of marbles in the jar is 1,320. Part A 24. A student places 9 more bags of marbles in the jar, bringing the total number of marbles in the

jar to 1,518 marbles. If each bag in the jar contains the same number of marbles, how many marbles does each bag contain?

A 198 marbles

B 169 marbles

C 22 marbles

D 8 marbles

Part B 25. A second jar contains 6 small bags of marbles and some large bags of marbles for a total of

287 marbles. If the small bags contain 7 marbles each, and the large bags contain 35 marbles each, how many large bags are in the second jar of marbles?

A 8 large bags

B 7 large bags

C 6 large bags

D 5 large bags

26. A store is having a sale during which all outdoor furniture is 𝟒𝟓% off the original price, 𝒑. If the

post-sale price of an outdoor furniture set can be calculated using the expression 𝒑 − 𝟎. 𝟒𝟓𝒑, which expression also represents the price?

A 0.45𝑝

B 0.55𝑝

C 1 − 0.45𝑝

D 𝑝 − 0.55



27. A 7th grade science teacher has already graded 34 of the 118 science fair projects. The science teacher has 2 weeks to grade the rest of the projects and wants to grade the same number of projects, 𝒙, each week.

Which statement is true?

A An equation that could be used to find 𝑥 is 2(𝑥 + 34) = 118, and the teacher needs to grade

25 projects per week to meet the 2-week deadline.

B An equation that could be used to find 𝑥 is 2𝑥 + 34 = 118, and the teacher needs to grade 42 projects per week to meet the 2-week deadline.

C An equation that could be used to find 𝑥 is 2(𝑥 + 34) = 118, and the teacher needs to grade 59 projects per week to meet the 2-week deadline.

D An equation that could be used to find 𝑥 is 2𝑥 + 34 = 118, and the teacher needs to grade 76 projects per week to meet the 2-week deadline.

28. The table shows the prices for various items at Spend-Less Sporting Goods.

Item Price

baseball bat $𝟒𝟔. 𝟗𝟓

catcher’s mask $𝟐𝟗. 𝟗𝟗

baseball glove $𝟏𝟗. 𝟑𝟑

pitching machine $𝟐𝟖. 𝟒𝟗

If a baseball coach purchases 3 baseball bats, 2 baseball gloves, and a pitching machine at Spend-Less Sporting Goods, what is the best estimate of how much the coach spends?

A $170

B $190

C $210

D $240



29. A car dealership offers a 𝟏𝟓% discount to customers during an annual holiday sale. If the original price of a certain SUV is 𝒔 dollars, which expressions represent the cost of the SUV after the discount is applied? Select ALL that apply.

A 0.15𝑠

B 0.85𝑠

C 1.15𝑠

D 𝑠 − 0.15𝑠

E 𝑠 + 0.15𝑠

30. Which situation could be represented by the expression (𝟏𝟓𝟑

𝟒) ÷

𝟐

𝟑 ?

A A baseball team drinks 2

3 of a 15

3

4 -quart jug of lemonade after a practice.

B A boy donates 2

3 of his piggy bank containing $15.75 to charity.

C A girl cuts 153

4 feet of ribbon into several

2

3 -foot pieces to make bows.

D A student writes 153

4 pages of a paper and needs to write

2

3 page more to finish.

31. Which equation and number line show that a number and its opposite are additive inverses?

A −2 + 2 = 0

B 2 + (−2) = 0

C 2 − (−2) = 2

D 2 + 2 = 4


Page 14 STOP. END OF MATH TEST.

32. A teacher asks a student to write and solve an inequality to find what numbers satisfy the statement that 3.2 more than 7 times a number, 𝒏, is less than 17.2. The table shows the student’s work.

Step Work

1 𝟕𝒏 + 𝟑. 𝟐 < 𝟏𝟕. 𝟐 2 𝟕𝒏 < 𝟏𝟒 3 𝒏 < 𝟕

Which statement is true?

A The student’s work in all of the steps is correct because all numbers less than 7 satisfy the statement.

B The student made a mistake writing the inequality before Step 1. The correct inequality that represents the statement is 3.2𝑛 + 7 < 17.2.

C The student made a mistake between Step 1 and Step 2 by subtracting 3.2 from both sides of the inequality instead of adding 3.2 to both sides of the inequality.

D The student made a mistake between Step 2 and Step 3 by subtracting 7 from the right side of the inequality instead of dividing both sides of the inequality by 7.

33. Consider the diagram of a rectangular canvas.

If the paint to cover the canvas costs $𝟒. 𝟓𝟎, what is the price per square foot?

A $0.35

B $0.50

C $0.69

D $1.00

2018-2019 7 grade math 2nd benchmark · 2019. 1. 10. · 2018-2019 7th grade math 2nd benchmark...

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