Unit Test — Unit test Answers

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1
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After completing the fraction division , Bai used the multiplication below to check his work. Which is the most accurate description of Bai’s work?

Question illustration
A
Bai found the correct quotient and checked his work using multiplication correctly.
B
Bai found the correct quotient but checked his work using multiplication incorrectly.
C
Bai found an incorrect quotient but checked his work using multiplication correctly.
D
Bai found an incorrect quotient and checked his work using multiplication incorrectly.
2
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What is the quotient in simplest form?

Question illustration
A
StartFraction 1 Over 10 EndFraction
Option A
B
One-half
Option B
C
8
D
10
4

Hernando ate of a pizza for a dinner. He gave his 6 friends the rest of the pizza and told them to share it equally. To determine the fraction of the whole pizza that each of his friends received, Hernando performed the calculations below.He concluded that each person received of the whole pizza. Are Hernando’s calculations correct? Explain why or why not.

Question illustration
A
Yes, they are correct. Hernando divided 6 by 6.
B
Yes, they are correct. Hernando divided by 6.
Option B
C
No, they are not correct. Hernando should have multiplied by 6, not divided by 6.
D
No, they are not correct. Hernando should have divided 8 by 6, not 6 by 6.
5

Dierdre’s work to solve a math problem is shown below.Problem: How many -foot pieces can be cut from a 12-foot length of ribbon?Step 1:Step 2:Step 3:Step 4:Answer:What was Dierdre’s first error?

Question illustration
A
She switched the divisor and the dividend in step 1 when creating an equation to model the problem.
B
She used an improper fraction in step 2 that is not equivalent to .
Option B
C
She replaced the divisor by its reciprocal in step 3 instead of replacing the dividend by its reciprocal.
D
She reduced the fraction in step 4 incorrectly.
6

A shelf is 24 inches wide. How many books, each of an inch thick, can fit on the shelf?Which equation can be used to solve the above problem?

Question illustration
A
24 divided by StartFraction 7 Over 8 EndFraction
Option A
B
StartFraction 7 Over 8 EndFraction divided by 24 = b
Option B
C
b divided by 24 = StartFraction 7 Over 8 EndFraction
Option C
D
b divided by StartFraction 7 Over 8 EndFraction = 24
Option D
7

Henry made himself a sandwich that was of a foot long. He put pepperoni on of his sandwich. What length of the sandwich did not have pepperoni on it?

Question illustration
A
of a foot
Option A
B
of a foot
Option B
C
of a foot
Option C
D
of a foot
Option D
8

To find the quotient ,

Question illustration
A
multiply by .
Option A
B
multiply by 3.
Option B
C
multiply by 3.
Option C
D
multiply by .
Option D
9

Which division problem does the number line below best illustrate?

Question illustration
A
2 divided by one-fifth = 10
Option A
B
1 divided by one-fifth = 10
Option B
C
2 divided by one-tenth = 5
Option C
D
1 divided by one-tenth = 5
Option D
10

Which division problem does the number line below best illustrate?

Question illustration
A
10 divided by 2 = 5
Option A
B
15 divided by 3 = 5
Option B
C
50 divided by 5 = 10
Option C
D
20 divided by 10 = 2
Option D
11

Mateo has already swum of the 2,000 meters he is swimming today. If he continues swimming at a pace of of a meter per second, which expression shows the amount of time it will take him to swim the remaining distance?

Question illustration
A
2000 times four-fifths times three-fourths
Option A
B
2000 times four-fifths divided by three-fourths
Option B
C
2000 times one-fifth times three-fourths
Option C
D
2000 times one-fifth divided by three-fourths
Option D
12

What is the quotient in simplest form?

Question illustration
A
StartFraction 15 Over 64 EndFraction
Option A
B
StartFraction 15 Over 16 EndFraction
Option B
C
2 and two-fifths
Option C
D
2 and StartFraction 8 Over 20 EndFraction
Option D
13

What is the result of ?

Question illustration
A
StartFraction 1 Over 25 EndFraction
Option A
B
One-fifth
Option B
C
1
D
25
14

Which expression would the model be most helpful in solving?

Question illustration
A
One-sixth divided by StartFraction 5 Over 6 EndFraction
Option A
B
StartFraction 5 Over 6 EndFraction divided by one-sixth
Option B
C
6 divided by one-sixth
Option C
D
6 divided by StartFraction 5 Over 6 EndFraction
Option D
15

To determine the total amount of gas it took to mow the lawn this past summer, Erin multiplied the number of times she mowed the lawn, 24, by the amount of gas it takes to mow the lawn each time, of a gallon. What is the total amount of gas?

Question illustration
A
of a gallon
Option A
B
of a gallon
Option B
C
9 gallons
D
64 gallons

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