AnswersNC-Foundations of Math 1 Fall 1st 9 WeeksSolving Equations with Rational Numbers

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1
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How do the expressions and compare when they are evaluated?

Question illustration
A
They have different values and are different signs.
B
They have different values but are the same sign.
C
They have the same value but are different signs.
D
They have the same value and the same sign.
2
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The position of a swimmer below sea level is represented by –5 meters. The diver descends an additional 3 meters below sea level. Which expression describes the new position of the diver?

A
Negative 5 + (negative 3)
Option A
B
Negative 5 + 3
Option B
C
5 + (negative 3)
Option C
D
5 + 3
Option D
3

What is the product of and ?

Question illustration
A
Negative StartFraction 6 over 7 EndFraction
Option A
B
Negative StartFraction 6 over 49 EndFraction
Option B
C
StartFraction 6 over 49 EndFraction
Option C
D
StartFraction 6 over 7 EndFraction
Option D
4

Which point on the number line represents the product ?

Question illustration
A
Point A
B
Point B
C
Point C
D
Point D
5

Bruno uses a piece of wrapping paper with dimensions feet by 3 feet to wrap a gift. What is the total area of the paper used to wrap the gift?

Question illustration
A
square feet
Option A
B
square feet
Option B
C
square feet
Option C
D
square feet
Option D
6

What is the quotient?

Question illustration
A
Negative 1 and one-half
Option A
B
Negative StartFraction 3 over 32 EndFraction
Option B
C
StartFraction 3 over 32 EndFraction
Option C
D
1 and one-half
Option D
7

What is the sum of 16.87 + (–98.35)?

A
–115.22
B
–81.48
C
81.48
D
115.22
8

Three investors own a company. One partner owns of the company, while the second partner owns of the company. How much does the third partner own?

Question illustration
A
Two-thirds
Option A
B
StartFraction 7 Over 20 EndFraction
Option B
C
StartFraction 13 Over 20 EndFraction
Option C
D
StartFraction 17 Over 20 EndFraction
Option D
9

Vicky records the low temperature for three consecutive days. Between the first and second days the temperature increased 6 degrees. Between the second and third days the temperature decreased 3 degrees. On the third day the low temperature was –6º. What was the low temperature on the first day?

A
–15 degrees
B
–9 degrees
C
–3 degrees
D
3 degrees
10

Dion is laying brick down to make a patio. He plans for the patio to be 8.75 feet by 14.8 feet. He orders enough brick for 135 square feet. Which statement about the amount of brick is correct?

A
Dion estimated correctly by rounding up. He ordered enough brick. The exact area is 129.5 square feet.
B
Dion estimated correctly by rounding down. He ordered enough brick. The exact area is 129.5 square feet.
C
Dion did not estimate correctly by rounding up. He did not order enough brick. The exact area is 129.5 square feet.
D
Dion did not estimate correctly by rounding down. He did not order enough brick. The exact area is 129.5 square feet.
11

Leonardo is solving the equation . His work is shown. Where is his error?

Question illustration
A
step 1
B
step 2
C
step 3
D
step 4
12

Jillian is using integer tiles to add . She uses the steps below.Step 1Step 2Step 3Step 4Jillian has made an error. In which step does it occur?

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
13

Diego buys 4.25 pounds of mushrooms. Each pound costs $2.99. Which expression gives the best estimate of the cost of the mushrooms?

A
(4)($2)
B
(4)($3)
C
(5)($2)
D
(5)($3)
14

How is the product of 2 and –5 shown using integer tiles?

A
2 positive tiles and 5 negative tiles.
Option A
B
2 negative tiles and 5 positive tiles.
Option B
C
5 negative tiles and 5 negative tiles.
Option C
D
5 positive tiles and 5 positive tiles.
Option D
15

Kari estimated the quotient of to be –8. Which best describes her error?

Question illustration
A
Kari multiplied the compatible numbers –12 and 4.
B
Kari found that the quotient of a negative number and a positive number is negative.
C
Kari found that the quotient of a positive number and a negative number is positive.
D
Kari added the compatible numbers –12 and 4.

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