Cumulative Exam — Cumulative exam Answers

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23

What is the prime factorization of 50?

A
2 times 25
Option A
B
2 times 5
Option B
C
2 times 5 squared
Option C
D
2 squared times 5
Option D
25

What is the product of ?

Question illustration
A
–81
B
–1
C
1
D
81
26

Which list of numbers is shown on the number line below?

Question illustration
A
Negative 2.5, 1 and three-fourths, 50 percent, 1.5
Option A
B
Negative 2.5, negative 1 and one-third, 50 percent, 1.5
Option B
C
Negative 2.5, negative 1 and three-fourths, 25 percent, 1.5
Option C
D
Negative 2.5, negative 1 and one-third, 25 percent, 1.5
Option D
27

Two students are using estimation to determine reasonable solutions to the expression . Katie uses the expression . Amaya uses the expression . Which is the best comparison of the estimates and the actual product?

Question illustration
A
Both estimates will be less than the original product.
B
Both estimates will be greater than the original product.
C
Katie’s estimate will be less than the actual product, and Amaya’s estimate will be greater than the actual product.
D
Katie’s estimate will be greater than the actual product, and Amaya’s estimate will be less than the actual product.
28

Which list shows all the factors of 75?

A
1, 3, 5, 15, 25, 75
B
1, 3, 5, 13, 25, 75
C
3, 5, 13, 25
D
3, 5, 15, 25
30

What is the quotient in simplest form?

Question illustration
A
0
B
StartFraction 9 Over 16 EndFraction
Option B
C
1 and StartFraction 7 Over 9 EndFraction
Option C
D
4
31

Shane is trying to figure out how much one magazine would cost if 12 magazines cost $36. Shane did the math and got $45 as the answer.Is Shane’s answer reasonable?

A
Shane’s answer is not reasonable because one magazine should cost less than $36.
B
Shane’s answer is reasonable because one magazine should cost more than $36.
C
Shane’s answer is not reasonable because one magazine should cost $36.
D
Shane’s answer is reasonable because one magazine should cost $12.
32

Which fraction is equivalent to ?

Question illustration
A
StartFraction 3 Over 8 EndFraction
Option A
B
StartFraction 2 Over 8 EndFraction
Option B
C
StartFraction 3 Over 24 EndFraction
Option C
D
StartFraction 4 Over 24 EndFraction
Option D
33

Danielle says that her set of numbers are integers.Danielle is wrong. Which explanation of why she is wrong is correct?

Question illustration
A
Danielle has included negative numbers. Negative numbers are not integers.
B
Danielle has included a decimal. Decimals are not integers.
C
Danielle included zero. Zero is not an integer.
D
Danielle included a positive number. Positive numbers are not integers.
34

Huda made 8 matching bracelets. She used 128 beads in all. How many beads did she use per bracelet?

A
10 beads per bracelet
B
12 beads per bracelet
C
14 beads per bracelet
D
16 beads per bracelet
36

There are 10 pencils in a desk. Ninety percent of the pencils are sharpened. Which equation can be used to find the number of sharpened pencils?

A
StartFraction 10 divided by 1 Over 90 divided by 1 EndFraction = StartFraction 10 Over 90 EndFraction
Option A
B
StartFraction 90 times 10 Over 10 times 10 EndFraction = StartFraction 900 Over 100 EndFraction
Option B
C
StartFraction 10 times 100 Over 9 times 100 EndFraction = StartFraction 1000 Over 900 EndFraction
Option C
D
StartFraction 90 divided by 10 Over 100 divided by 10 EndFraction = StartFraction 9 Over 10 EndFraction
Option D
38

Which situation involves a change modeled by a negative number but an end result modeled by a positive number?

A
Jake started his hike at an elevation of 23 meters, traveled down the mountain and stopped at an elevation of –2 meters.
B
Marissa had $64 in her savings account. She then withdrew $20 to buy some sandals.
C
Lorelei owed her mother $15. She then got $10 in a birthday card from her grandmother.
D
Javier was scuba diving and swam up 6 meters from the ocean floor to sea level to reach his boat.
39

Allison is evaluating the expression using integer tiles. She begins with 5 negative tiles as shown.What should Allison do next to find the value of the expression?

Question illustration
A
remove 2 negative tiles
B
remove 3 negative tiles
C
add 2 negative tiles
D
add 7 negative tiles

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