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

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Emanuel used the calculations below to find the product of the given fractions. Step 1Step 2Step 3Step 4 In which step did his first error occur?

Question illustration
A
step 1
B
step 2
C
step 3
D
step 4
2
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Dan is using tiles to add . He begins with the tiles shown below.What is the sum of ?

Question illustration
A
–14
B
–2
C
2
D
14
3

Which product is negative?

A
(Negative StartFraction 3 over 8 EndFraction) (Negative StartFraction 5 over 7 EndFraction) (one-fourth)
Option A
B
(StartFraction 3 over 8 EndFraction) (Negative StartFraction 5 over 7 EndFraction) (Negative one-fourth)
Option B
C
(StartFraction 3 over 8 EndFraction) (StartFraction 5 over 7 EndFraction) (one-fourth)
Option C
D
(Negative StartFraction 3 over 8 EndFraction) (Negative StartFraction 5 over 7 EndFraction) (negative one-fourth)
Option D
4

What is the value of ?

Question illustration
A
–5
B
–1
C
1
D
5
5

Which addition does the model below represent?

Question illustration
A
8 + (negative 3)
Option A
B
2 + (negative 3)
Option B
C
5 + 3
Option C
D
5 + (negative 3)
Option D
6

What is the product of 25 and –6?

A
–150
B
–19
C
19
D
150
7

Which expression is undefined?

A
Negative 8 divided by (negative 8)
Option A
B
Negative 8 divided by 8
Option B
C
0 divided by 8
Option C
D
8 divided by 0
Option D
8

Which number line correctly shows 1.5 + 2.5?

A
A number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 1.5 and from 1.5 to 4.
Option A
B
A number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 1.5 and from 1.5 to 3.
Option B
C
A number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 0 to 2.5 and from 2.5 to 5.
Option C
D
A number line going from 0 to 6.5 in increments of 0.5. An arrow goes from 1.5 to 3 and from 3 to 5.5.
Option D
9

Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average number of points he scores per game?

A
48 divided by 4 = g
Option A
B
4 divided by 48 = g
Option B
C
g divided by 4 = 48
Option C
D
4 divided by g = 48
Option D
10

The weights of five grapefruits are 7.47 ounces, 7.23 ounces, 6.46 ounces, 7.48 ounces, and 6.81 ounces. Using the clustering estimation technique, what is the approximate total weight of the grapefruits?

A
34 ounces
B
35 ounces
C
36 ounces
D
40 ounces
11

What is the distance between –3 and 2 on the number line?

Question illustration
A
–5
B
–1
C
1
D
5
12

Which product is modeled by the number line below?

Question illustration
A
(negative 3) (4)
Option A
B
(negative 2) (4)
Option B
C
(2) (4)
Option C
D
(3) (4)
Option D
13

When multiplying two negative integers, what is the sign of the product?

A
positive
B
negative
C
zero
D
one
14

Which expression has the same value as ?

Question illustration
A
Negative 18 divided by 2
Option A
B
Negative 12 divided by (negative 3)
Option B
C
Negative 10 divided by 5
Option C
D
Negative 8 divided by (negative 4)
Option D
15

Which product is positive?

A
(Two-fifths) (Negative StartFraction 8 over 9 EndFraction) (Negative one-third) (Negative StartFraction 2 over 7 EndFraction)
Option A
B
(Negative Two-fifths) (StartFraction 8 over 9 EndFraction) (Negative one-third) (Negative StartFraction 2 over 7 EndFraction)
Option B
C
(Two-fifths) (StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction)
Option C
D
(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction)
Option D
16

A recipe that makes 4 servings calls for cup of flour. How much flour is required to make 20 servings?

Question illustration
A
cups
Option A
B
cups
Option B
C
cups
Option C
D
cups
Option D
17

Which expression is modeled by this arrangement of tiles?

Question illustration
A
Negative 16 divided by 3
Option A
B
Negative 16 divided by 2
Option B
C
Negative 8 divided by 8
Option C
D
Negative 8 divided by 2
Option D
18

What is the difference between –4 and 6?

A
–10
B
–2
C
2
D
10
19

Which number is the additive inverse of –5?

A
–
Option A
B
0
C
Negative one-fifth
Option C
D
5
20

How is the product of 4 and 2 shown using integer tiles?

A
4 positive tiles and 2 positive tiles.
Option A
B
4 negative tiles and 2 negative tiles.
Option B
C
4 sets of 2 positive tiles.
Option C
D
4 sets of 2 negative tiles.
Option D

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