ch€¦ · web view2017. 12. 20. · 9. explain why 1 is the multiplicative identity and why 0 is...

Name_________________________________________ Date____________________ Class___________________

7.NS.1a, 7.NS.1bSELECTED RESPONSESelect the correct answer.

1. Which of the following situations involve opposite quantities combining to make 0?

Stella has a new piggy bank. She adds 3 quarters on Tuesday, and then adds another 3 quarters on Thursday.Devon opens a new checking account with $30. His first purchase, made with his new debit card, totals $28.

Joe makes liters of lemonade

and drinks it all during the afternoon.Brittany is writing a novel. She wrote 4 new pages to finish Chapter 1. When she reviews Chapter 1, she discards these 4 pages and an additional 4 pages.

2. What is the location of the sum 11 (5) with respect to 11 on a number line?

5 units in the negative direction

5 units in the positive direction

11 units in the negative direction

11 units in the positive direction

3. Which sum does the number line represent?

11 (9)

11 9

11 (2)

11 (2)

Select all correct answers.4. On a number line, which of the following

sums is to the left of the first number in the sum?

9 1

15 (8)

2 6

Match each expression with the verbal description for the location of the sum._____ 5. 17 (10)

_____ 6. 5 (7)

_____ 7.

_____ 8. 9 20

A 6 units to the left of

B 6 units to the right of

C 7 units to the left of 5D 7 units to the right of 5E 10 units to the left of 17F 10 units to the right of 17G 20 units to the left of 9H 20 units to the right of 9

Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.

Grade 7 13 Common Core Assessment Readiness

Name_________________________________________ Date____________________ Class___________________

CONSTRUCTED RESPONSE9. Jean walks forward 80 feet to his

mailbox. He then walks the 80 feet back. Does Jean end up back where he started? Explain your reasoning.__________________________________________________________________________________

10. An earned run average (ERA) in baseball is the number of earned runs a pitcher gives up per 9 innings. One year, a professional baseball pitcher had a 3.91 ERA. His ERA was 0.74 points lower the next year. What is the sum and its interpretation?___________________________________________________________________________________________________________________________

11. Use the number line below. Think of a number and its opposite. Find and show the sum using the number line._________________________________________

12. Think of a situation in which two opposite quantities combine to make 0.

a. What is the first action?__________________________________________________________________________________

b. What is the second action?__________________________________________________________________________________

c. Explain why the actions from parts a and b combine to make 0.

___________________________________________________________________________________________________________________________

13. Jayce goes out for a walk. He walks

miles from home. He walks back

mile before meeting up with his friend

Macy. Write an expression (a sum) that describes this situation and use the number line to find the sum. What is the meaning of this sum?

_____________________________________________________________________________________________________________________________________________________________________________________________________________

14. Becky adds gallon of gasoline into her

snow thrower’s empty fuel tank. She uses

gallon for the snowstorm on Friday,

and then uses another gallon for the

snowstorm on Sunday. Is the fuel tank empty after Becky uses the snow thrower on Sunday? Explain. If her fuel tank is not empty again, what single action could have been changed so that it is empty again? Explain.________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________



Name_________________________________________ Date____________________ Class___________________

7.NS.1cSELECTED RESPONSESelect the correct answer.

1. What is an equivalent expression for

2. How does the expression |9 (5)| relate to the numbers 5 and 9 on the number line?

The expression shows that 9 is greater than 5.The expression shows that 5 is to the left of 0 and 9 is to the right of 0 on the number line.The expression represents the sum of 5 and 9.The expression represents the distance between 5 and 9 on the number line.

3. Which of the following expressions results in the distance between 5 and 6 on a number line?

|6 5|

|6 (5)|

|5| |6|

|5 6|

Select all correct answers.4. Which of the following expressions give

the distance between the endpoints of the segment shown on the number line below?

Match each subtraction expression with an equivalent expression that uses the additive inverse.

_____ 5.

_____ 6.

_____ 7.

_____ 8.

A

B

C

D

CONSTRUCTED RESPONSE9. Is 10 5 equal to 10 (5)? Explain in

terms of additive inverses.___________________________________________________________________________________________________________________________



Name_________________________________________ Date____________________ Class___________________

10. Asher has two bottles of floor cleaner, each of which contains 2 cups when full.

One bottle contains cup and the other

bottle is full. He needs cups of floor

cleaner. How many cups from the new bottle does Asher need? Show that the number of cups Asher needs from the second bottle is equal to the distance

between and on the number line.

__________________________________________________________________________________

11. Cindy has a board that is 7 inches wide

and inches long. She needs to use

the board to replace a shelf that is

inches long. Cindy hopes that the

remaining piece of board is long enough to make a 7-inch by 7-inch square she can use to put under a house plant so it will receive more sunlight. How long is the remaining piece of board? Is it long enough? Show your work.__________________________________________________________________________________

12. Tony currently has a balance of $10.48 in his checking account. His bank requires him to maintain a minimum balance of $20. How much does Tony need to deposit into his checking account to reach the minimum balance? If his bank charges a $14.99 fee if his account is below the minimum balance, how much does he need to deposit to reach the minimum balance?__________________________________________________________________________________

13. Emily thinks that is

Identify the error that Emily made. Then correct Emily’s error and find the correct difference. Show your work.____________________________________________________________________________________________________________________________________________________________________

14. a. Write a word problem involving fractions about the distance between two friends’ houses that are in opposite directions from the library.

___________________________________________________________________________________________________________________________

b. Answer your question by assigning two numbers with opposite signs and using a number line to show the distance between the houses relative to the library.

_________________________________________

c. Find the absolute value of the difference between the two numbers that represent the locations of the friends’ houses relative to the library.

_________________________________________

d. Explain why the distance between the two points on the number line from part b is equal to the absolute value of the difference from part c.

___________________________________________________________________________________________________________________________



Name_________________________________________ Date____________________ Class___________________

7.NS.1dSELECTED RESPONSESelect the correct answer.

1. What property allows to be

simplified to

Additive inverse property

Additive identity property

Associative property of addition

Commutative property of addition

2. Which of the following uses the additive inverse property correctly to simplify the expression?

Select all correct responses.3. Which properties are used to simplify

as without first

finding a common denominator?Commutative property of multiplicationCommutative property of addition

Associative property of addition

Multiplicative inverse property

Additive inverse property

Additive identity property

4. Which of the following demonstrates using the associative property of addition to simplify?

(13.36 2.17) 7.83 13.36 10

9 (1.4 14.3) 15.7 9 1.4 30

21.36 15.32 1.36 20 15.32

[12.3 (24.6)] 15.4 12.3 (40)

10.14 10.14 28.93 28.93

Select the correct answer for each lettered part.5. Determine the property of addition used to arrive at each expression

in the process of simplifying

a. Commutative Associative

Additive inverse Additive identity

b. Commutative Associative


c. Commutative Associative


d. Commutative Associative


e. Commutative Associative


f. Commutative Associative




Name_________________________________________ Date____________________ Class___________________



CONSTRUCTED RESPONSE6. Explain how the properties of addition are

used to simplify

Find the value of the expression.___________________________________________________________________________________________________________________________

7. The outdoor temperature was 7.1 C. The temperature rose 5.4 C, and then rose another 7.1 C. An expression for this situation is 7.1 5.4 7.1. Use the properties of addition to find the final temperature.___________________________________________________________________________________________________________________________

8. Simplify without

having to find common denominators. Show your work.___________________________________________________________________________________________________________________________

9. What is the minimum number of denominators that need to be used to find a common denominator to completely

simplify

Explain your answer using the properties of operations.___________________________________________________________________________________________________________________________

10. Jamal thinks that he needs to use only the associative property of addition and the additive inverse property to simplify

to one term without

using common denominators. Is he correct? Explain.__________________________________________________________________________________

11. Write an expression with all fractional terms that applies four properties of addition to simplify the expression to one term. Show your work and explain how your expression simplifies.____________________________________________________________________________________________________________________________________________________________________

12. Margie has cups of beans in a jar.

She takes out cups of beans for a

recipe. When making the dish, she decides to cut down on the beans used

and returns cups of beans to the jar.

Then Margie adds another cups of

beans from a bag to the jar. a. Write an expression that models this

situation. _________________________________________

b. How many beans are in the jar after Margie refills the jar? Show how you used the properties of addition to find this value.

__________________________________________________________________________________

Name_________________________________________ Date____________________ Class___________________

7.NS.2a, 7.NS.2bSELECTED RESPONSESelect the correct answer.

1. A stock lost $2.25 of its value each day for 5 consecutive days. What is an interpretation of the product $2.25 5?

The stock lost $0.45 per day.

The stock lost $7.25 over 5 days.

The stock lost $11.25 over 5 days.

The stock lost $11.25 per day.

2. Which of the following products is negative?

3. Which of the following is always the result of dividing an integer by an integer when the divisor is nonzero?

Integer

Whole number

Rational number

0

4. Kelsey’s bank charged her $17.50 for using her debit card at ATMs that are not owned by her bank 7 times in the last month. What is the interpretation of the

quotient

Kelsey’s bank loses $2.50 each time Kelsey uses her debit card at an ATM that is not owned by her bank.Kelsey is charged $2.50 each time she uses her debit card at an ATM that is not owned by her bank.Kelsey earns $2.50 each time she uses her debit card at an ATM that is not owned by her bank.

Kelsey is charged $17.50 each time she uses her debit card at an ATM that is not owned by her bank.



Name_________________________________________ Date____________________ Class___________________

Select all correct answers.5. Which of the following equations use the

distributive property correctly to multiply rational numbers?

6. Which of the following fractions are

equivalent to

CONSTRUCTED RESPONSE7. Victoria needs sugar for a certain recipe.

The original recipe calls for cup sugar.

However, Victoria wants to make a recipe

that is times larger. Use the

distributive property to find the product.____________________________________________________________________________________________________________________________________________________________________

8. Suppose cups of water are needed

for every cup of rice and you need to

cook cups of rice. What is the value

and the interpretation of the product

__________________________________________________________________________________

9. Kendall realizes that she has cups of

cat food remaining. Her cat eats cup

of cat food per day. What is the value and

the interpretation of the quotient

__________________________________________________________________________________

10. Can 19 be divided by 6? Explain.___________________________________________________________________________________________________________________________

11. Gary thinks that is equal to

because

a. Identify Gary’s error. Explain.___________________________________________________________________________________________________________________________

b. Find two expressions that are

equivalent to Explain.

__________________________________________________________________________________



Name_________________________________________ Date____________________ Class___________________

12. Use the distributive property, the fact that a mixed number can be rewritten as the sum of an integer and a fraction, and the fact that a (1)a for parts a and b.

a. Pick a negative integer and a positive mixed number. Find the sign of their product.

_________________________________________

b. Use the negative integer and the opposite of the mixed number from part a to find the sign of their product.

_________________________________________

c. How does the product from part b differ from the product from part a? Explain.

__________________________________________________________________________________

13. a. Use what you know about the sum of an integer and its opposite to explain why 3[2 (2)] 0.

__________________________________________________________________________________

b. Use the distributive property to express 3[2 (2)] in another way. Explain why it is reasonable to conclude that (3)(2) 6.

__________________________________________________________________________________

c. Suppose j and k are two positive integers. Generalize the work in parts a and b to justify why the product of the two negative integers j and k must be equal to the positive product jk.

___________________________________________________________________________________________________________________________



Name_________________________________________ Date____________________ Class___________________

7.NS.2cSELECTED RESPONSESelect the correct answer.

1. Which property allows to be

simplified to

Multiplicative identity property

Multiplicative inverse property

Associative property of multiplication

Commutative property of multiplication

2. Which of the following uses the multiplicative inverse property correctly to simplify the expression?

Select all correct answers.3. Which of the following properties can be

used together to simplify the product

without having to

multiply uncommon denominators?Associative property of addition

Associative property of multiplication

Commutative property of addition

Commutative property of multiplicationMultiplicative inverse property

Multiplicative identity property

4. Which of the following uses the commutative property of multiplication?

0.5 10.83 60 0.5 60 10.83

0.25 (16.4 4.7) (0.25 16.4) 4.71.2 9.61 1.5 1.2 1.5 9.61

2.5 0.4 13.8 13.8

15.5 (0.2 12.9) (15.5 0.2) 12.9

Select the correct answer for each lettered part.5. Determine the property of multiplication that is used in each step to simplify

the expression

a. Associative Commutative Inverse Identity

b. Associative Commutative Inverse Identity

c. Associative Commutative Inverse Identity

d. Associative Commutative Inverse Identity

e. Associative Commutative Inverse Identity



Name_________________________________________ Date____________________ Class___________________

f. Associative Commutative Inverse Identity

CONSTRUCTED RESPONSE6. Explain how the properties of

multiplication are used to simplify

Find the value of the

expression.____________________________________________________________________________________________________________________________________________________________________

7. What properties of multiplication can help

you to simplify

Explain.____________________________________________________________________________________________________________________________________________________________________

8. James thinks that the commutative property of multiplication simplifies 4.8 (0.5 2.95) to 2.4 2.95. Is James correct? Explain your reasoning.___________________________________________________________________________________________________________________________

9. Explain why 1 is the multiplicative identity and why 0 is not the multiplicative identity. Explain how the multiplicative

identity is used to simplify

___________________________________________________________________________________________________________________________

10. Use the properties of multiplication to simplify the expression

Show

your work._______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

11. Write an expression with all fractional terms that applies four properties of multiplication to simplify the expression to one term. Include at least one term being divided. Show your work and explain how your expression simplifies._____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________

7.NS.2d

SELECTED RESPONSESelect the correct answer.

1. Convert to a decimal.

0.571428 1.75

2. The decimal equivalent of is a

repeating decimal. How many digits are in the repeating part of the decimal?

1 3

2 6

3. Suppose the repeating pattern in 0.020020200202002... continues forever. Is the number rational?

Yes, because the number is equivalent to the repeating decimal

Yes, because the number is a terminating decimal.No, because the number is not a terminating decimal.



Name_________________________________________ Date____________________ Class___________________

No, because the number is not a repeating decimal.

Select all correct answers.4. Which of the following rational numbers

have three digits that repeat in its decimal equivalent?

5. Which of the following is greater

than

Select the correct answer for each lettered part.

6. Determine whether the decimal equivalents of the following rational numbers are terminating or repeating.

a. Terminating

Repeating

b. Terminating

Repeating

c. Terminating

Repeating

d. Terminating

Repeating

e. Terminating

Repeating



Name_________________________________________ Date____________________ Class___________________

CONSTRUCTED RESPONSE7. Use long division to find the decimal

equivalent of Show your work. Is the

decimal equivalent a terminating decimal or a repeating decimal? _________________________________________

8. Celia has a new cell phone that weighs

ounces. What is the weight of Celia’s

cell phone as a decimal? Use long division and show your work._________________________________________

9. At a cafe, one table, with 5 people, has a $19 bill. Another table, with 6 people, has a $23 bill. If each group decides to split the cost of the bill equally among the people at the table, which table has a greater cost per person? Use long division to justify your answer._________________________________________

10. Use long division to find the decimal

equivalents of and Show

your work. Put the rational numbers in ascending order. Explain._________________________________________

11. Todd found that the decimal equivalent of

is However, he noticed that

the decimal equivalent of is also

from an earlier problem. Todd’s work is shown below. Which calculation is correct? Identify Todd’s error in the other calculation and determine the correct decimal equivalent of that rational number.

___________________________________________________________________________________________________________________________

7.NS.3SELECTED RESPONSESelect the correct answer. 1. How many times does go into



Name_________________________________________ Date____________________ Class___________________

2. Tamela’s school day is hours. She

has seven classes that are hour long.

How many hours is Tamela not in class while she is at school?

6

3. Hez is making a bookcase. The boards that are used to make the bookcase are

inch thick. Hez found a board that is

inches thick. By how much does Hez

have to reduce the thickness of the new board to match the other boards?

inch inches

inch inches

Select all correct answers.4. Which of the following expressions have

a result that is greater than 5?

5. In the morning, a group of hikers hiked

miles, took a break, and then hiked

another miles. The group then

stopped for lunch. In the afternoon, the

group then hiked miles, took another

break, and then hiked miles. Which

of the following statements are true?

The hikers hiked mile more in the

afternoon than in the morning.

The hikers hiked mile more in the

morning than in the afternoon.

The hikers hiked the same number of miles in the morning as in the afternoon.

The hikers hiked miles the

entire day.

The hikers hiked miles the

entire day.

Match the number with the equivalent expression.

_____ 6.

_____ 7.

_____ 8.

_____ 9.

A

B

C

D

E

F



CONSTRUCTED RESPONSE10. Courtney adds 2 dimes, 3 quarters, and

6 nickels into a money jar. Courtney then takes out 2 quarters and 5 dimes the next day. Write an expression that shows how the overall amount of money in the jar increased or decreased. Then simplify the expression.__________________________________________________________________________________

11. A factory makes sheet metal. If each

sheet is inch thick, how tall is the

stack if there are 14 sheets? Show your work.___________________________________________________________________________________________________________________________

12. A picture frame provides inches of

space for a row of photos and each photo

is inches wide. How many photos

can fit in the picture frame? Show your work. Explain why the number of photos that can fit in the frame is different than the exact answer from your calculations.___________________________________________________________________________________________________________________________

13. A type of bolt weighs about ounce.

If a collection of these bolts weighs

pounds, how many bolts are in the

collection? Explain.__________________________________________________________________________________

14. A science experiment has a catapult launch a ball. The result of the experiment is shown in the table.

a. What is the average distance of the 5 attempts? Show your work.

__________________________________________________________________________________

b. How far does the ball have to travel on the sixth attempt so that the average of all 6 of the attempts is 50.9 meters? Explain.

__________________________________________________________________________________

15. Peter is evaluating . His

work is shown. Identify Peter’s error and find the correct value. Show your work.____



Attempt Distance1 50.7 m2 49.4 m3 52.3 m4 48.9 m5 51.6 m

ch€¦ · web view2017. 12. 20. · 9. explain why 1 is the multiplicative identity and why 0 is...

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