AnswersDAEP - Math 7 A 20 DAY TERMPercent Increase and Decrease

Solving Problems Involving Rational Numbers Answers

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1
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Which is the best estimate of ?

Question illustration
A
2
B
6
C
12
D
24
2
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What is the quotient?

Question illustration
A
–22
B
Negative StartFraction 11 over 50 EndFraction
Option B
C
StartFraction 11 over 50 EndFraction
Option C
D
22
3

Which expression is equivalent to ?

Question illustration
A
StartFraction 9 over 4 EndFraction divided by three-halves
Option A
B
Negative StartFraction 9 over 4 EndFraction divided by (negative two-thirds)
Option B
C
Negative StartFraction 9 over 4 EndFraction divided by two-thirds
Option C
D
StartFraction 9 over 4 EndFraction divided by (negative three-halves)
Option D
4

Which expression has a positive quotient?

A
Negative three-fourths divided by Negative two-thirds
Option A
B
Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth
Option B
C
2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth
Option C
D
Negative 6 divided by Five-thirds
Option D
5

Ankur estimated the quotient of to be 3. Which best describes his error?

Question illustration
A
Ankur multiplied the compatible numbers 15 and –3.
B
Ankur found that the quotient of a positive number and a negative number is negative.
C
Ankur found that the quotient of a positive number and a negative number is positive.
D
Ankur added the compatible numbers 15 and –3.
6

Which expression best estimates ?

Question illustration
A
7 divided by 2
Option A
B
6 divided by 1
Option B
C
8 divided by 3
Option C
D
3 divided by 2
Option D
7

Esmerelda simplified a complex fraction. Her work is shown below.What errors did Esmerelda make? Select three options.

Question illustration
A
Esmerelda converted the mixed number to the wrong improper fraction.
B
Esmerelda added the numerators.
C
Esmerelda added the denominators.
D
Esmerelda did not divide –24 by 6 correctly.
E
Esmerelda did not use the reciprocal of the divisor.
8

Dianna made several loaves of bread yesterday. Each loaf required cups of flour. All together, she used cups of flour. How many loaves did Dianna make?

Question illustration
A
3 loaves
B
4 loaves
C
5 loaves
D
7 loaves
9

The temperature falls from 0 degrees to degrees in hours. Which expression finds the change in temperature per hour?

Question illustration
A
Negative StartFraction 7 over 2 EndFraction divided by StartFraction 49 over 4 EndFraction
Option A
B
Negative StartFraction 7 over 2 EndFraction times StartFraction 49 over 4 EndFraction
Option B
C
Negative StartFraction 49 over 4 EndFraction times StartFraction 7 over 2 EndFraction
Option C
D
Negative StartFraction 49 over 4 EndFraction divided by StartFraction 7 over 2 EndFraction
Option D
10

What is the quotient of and ?

Question illustration
A
Negative 1 and StartFraction 1 over 8 EndFraction
Option A
B
Negative StartFraction 1 over 8 EndFraction
Option B
C
StartFraction 1 over 8 EndFraction
Option C
D
1 and StartFraction 1 over 8 EndFraction
Option D
11

What is the quotient?

Question illustration
A
Negative 1 and three-fifths
Option A
B
Negative two-fifths
Option B
C
One-half
Option C
D
1 and three-fifths
Option D
12

The total amount of water a tank can hold is gallons. Raul wants to find out how many -gallon buckets of water can be used to fill the tank. Which expressions could be used to represent this scenario? Select two options..

Question illustration
A
StartFraction 29 over 2 EndFraction divided by StartFraction 5 over 4 EndFraction
Option A
B
StartFraction 29 over 2 EndFraction times StartFraction 5 over 4 EndFraction
Option B
C
StartFraction 29 over 2 EndFraction times StartFraction 4 over 5 EndFraction
Option C
D
StartFraction 2 over 29 EndFraction times StartFraction 5 over 4 EndFraction
Option D
E
StartFraction 29 over 2 EndFraction divided by StartFraction 4 over 5 EndFraction
Option E
13

The temperature fell from 0 to below 0 in hours. Wen tried to find the change in temperature per hour. Her work is shown below.When she checked the answer by estimating, it did not make sense. What error did Wen make?

Question illustration
A
Wen incorrectly converted a mixed number to an improper fraction.
B
Wen added the numerators and denominators instead of multiplying.
C
Wen did not take the reciprocal of the divisor.
D
Wen did not change the division problem to multiplication.
14

A division problem is shown below. The reciprocal of a fraction must be found to solve the problem. What is the reciprocal fraction that is required?

Question illustration
A
StartFraction 6 over 31 EndFraction
Option A
B
StartFraction 3 over 13 EndFraction
Option B
C
StartFraction 13 over 3 EndFraction
Option C
D
StartFraction 31 over 6 EndFraction
Option D
15

Which division expression is equivalent to ?

Question illustration
A
StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction)
Option A
B
Negative StartFraction 5 over 6 EndFraction divided by StartFraction 13 over 3 EndFraction
Option B
C
StartFraction 13 over 3 EndFraction divided by StartFraction 5 over 6 EndFraction
Option C
D
Negative StartFraction 13 over 3 EndFraction divided by (Negative StartFraction 5 over 6 EndFraction)
Option D
16

Which explains how to find the quotient of the division below?

Question illustration
A
Write as , and find the reciprocal of as . Then, rewrite as . The quotient is .
Option A
B
Write as , and find the reciprocal of as . Then, rewrite as . The quotient is .
Option B
C
Write as . Then, rewrite as . The quotient is .
Option C
D
Write as . Then, rewrite as . The quotient is .
Option D

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