AnswersCommon Core Math 7 - MA3107 CRPercent Increase and Decrease

Solving Problems Involving Rational Numbers Answers

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1
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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
2
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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
3

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.
4

Which expression best estimates ?

Question illustration
A
18 divided by 3
Option A
B
Negative 18 divided by 3
Option B
C
Negative 18 divided by (negative 3)
Option C
D
18 divided by (negative 3)
Option D
6

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
7

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
8

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
9

Several batches of stew were made yesterday. Each batch required pounds of meat. All together, pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below.When she checked the answer by estimating, it did not make sense. What error did Janice make?

Question illustration
A
Janice converted a mixed number to the wrong improper fraction.
B
Janice added the numerators and denominators instead of multiplying.
C
Janice did not change the division problem to multiplication.
D
Janice did not convert the improper fraction to a mixed number correctly in the answer.
10

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

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