Negative Numbers in Real-World Contexts Answers

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1
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What is the product of and ?

Question illustration
A
StartFraction 8 Over 44 EndFraction
Option A
B
StartFraction 15 Over 44 EndFraction
Option B
C
StartFraction 8 Over 15 EndFraction
Option C
D
StartFraction 20 Over 33 EndFraction
Option D
2
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Yan has already finished 27 of the 45 math problems he was assigned today. Each math problem took him 1 of a minute to complete. If this pace continues, how much more time, to the nearest minute, will the rest of the problems take him to finish?

Question illustration
A
18 minutes
B
27 minutes
C
32 minutes
D
43 minutes
3

The fraction bars represent which equation?

Question illustration
A
One-fourth divided by one-eighth = 6
Option A
B
Three-fourths divided by one-eighth = six-eighths
Option B
C
One-fourth divided by one-eighth = StartFraction 6 Over 8 EndFraction
Option C
D
Three-fourths divided by one-eighth = 6
Option D
4

Five friends are going to share of a pizza. How much of a whole pizza will each friend eat?Which equation can be used to solve the problem above?

Question illustration
A
5 divided by one-half = n
Option A
B
one-half divided by 5 = n
Option B
C
n divided by 5 = one-half
Option C
D
n divided by one-half = 5
Option D
5

Which problem can be represented by the model?

Question illustration
A
Three-fourths times 3
Option A
B
One-fourths times 3
Option B
C
One-fourth times three-fourths
Option C
D
Three-fourths times one-third
Option D
6

What division problem can be represented using the number line?

Question illustration
A
StartFraction 10 Over 3 EndFraction divided by five-thirds
Option A
B
Five-thirds divided by StartFraction 10 Over 3 EndFraction
Option B
C
2 divided by five-thirds
Option C
D
2 divided by StartFraction 10 Over 3 EndFraction
Option D
7

What is ?

Question illustration
A
1 and one-sixth
Option A
B
1 and StartFraction 2 Over 9 EndFraction
Option B
C
1 and one-third
Option C
D
1 and two-thirds
Option D
8

Mr. Cho asked his students whether the number of pint glasses that can be poured from a pitcher containing 4 pints of milk is always greater than the number of pints of milk in the pitcher.Which statement best answers this question?

Question illustration
A
Yes, because the milk is being divided into equal parts that are less than one pint, which results in more glasses than pints.
B
No, because dividing milk into smaller parts results in fewer total glasses.
C
Yes, because 4 is greater than .
Option C
D
No, because the size of the pitcher affects the number of glasses.
9

The recipe for a batch of applesauce uses pounds of apples. If Michael wants to make of a batch of applesauce, how many pounds of apples will he need?

Question illustration
A
of a pound
Option A
B
of a pound
Option B
C
pounds
Option C
D
pounds
Option D
10

Nate’s work to solve a math problem is shown below.Problem: Leona traveled 25 miles in of an hour. What was her average speed in miles per hour?Step 1:Step 2:Answer:What was Nate’s first error?

Question illustration
A
He used division instead of multiplication to model the problem in step 1.
B
He switched the divisor and the dividend when creating an equation to model the problem in step 1.
C
He replaced the wrong term with its reciprocal in step 2.
D
He should not have changed division to multiplication in step 2.
11

Which expression can be used to find the quotient of 15 and ?

Question illustration
A
15 + one-third
Option A
B
15 minus one-third
Option B
C
15 times one-third
Option C
D
15 divided by one-third
Option D
12

Which shows the correct way to use the rule “multiply by the reciprocal” for the expression below?

Question illustration
A
StartFraction 1 Over 7 EndFraction times StartFraction 5 Over 8 EndFraction = StartFraction 5 Over 56 EndFraction
Option A
B
StartFraction 7 Over 1 EndFraction times StartFraction 5 Over 8 EndFraction = StartFraction 35 Over 8 EndFraction
Option B
C
StartFraction 1 Over 7 EndFraction times StartFraction 8 Over 5 EndFraction = StartFraction 8 Over 35 EndFraction
Option C
D
StartFraction 7 Over 1 EndFraction times StartFraction 8 Over 5 EndFraction = StartFraction 56 Over 5 EndFraction
Option D
13

What is ?

Question illustration
A
2 and one-fourth
Option A
B
2 and three-fourths
Option B
C
3 and one-third
Option C
D
3 and two-thirds
Option D
14

Which expression could be modeled using the diagram?

Question illustration
A
4 divided by one-fifth
Option A
B
4 divided by StartFraction 4 Over 5 EndFraction
Option B
C
StartFraction 4 Over 5 EndFraction divided by one-fifth
Option C
D
One-fifth divided by StartFraction 4 Over 5 EndFraction
Option D
16

What is the product of and ?

Question illustration
A
StartFraction 7 Over 36 EndFraction
Option A
B
StartFraction 8 Over 36 EndFraction
Option B
C
StartFraction 7 Over 13 EndFraction
Option C
D
StartFraction 8 Over 13 EndFraction
Option D
17

Which values of a, b, and c represent the answer in simplest form?

Question illustration
A
a = 1, b = 3, c = 2
Option A
B
a = 1, b = 40, c = 24
Option B
C
a = 1, b = 16, c = 24
Option C
D
a = 1, b = 2, c = 3
Option D
19

What is ?

Question illustration
A
2
B
2 and StartFraction 1 Over 9 EndFraction
Option B
C
2 and one-third
Option C
D
3
20

Alejandro has gone to school of the last 35 days. Which expression can be used to determine the number of days Alejandro has gone to school?

Question illustration
A
35 divided by 7 = StartFraction 5 Over 7 EndFraction
Option A
B
35 times StartFraction 5 Over 7 EndFraction
Option B
C
StartFraction 5 Over 7 EndFraction divided by 35
Option C
D
StartFraction 7 Over 5 EndFraction divided by 35
Option D

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