AnswersNC-Foundations of Math 1 Fall 1st 9 WeeksSolving with the Distributive Property

Solving with the Distributive Property Answers

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1
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4x = 20addition property of equality✔ division property of equalitymultiplication property of equalitysubtraction property of equality

A
addition property of equality
B
division property of equality
C
multiplication property of equality
D
subtraction property of equality
2
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x – 11 = 9✔ addition property of equalitydivision property of equalitymultiplication property of equalitysubtraction property of equality

A
addition property of equality
B
division property of equality
C
multiplication property of equality
D
subtraction property of equality
3

5x + 6x = 22✔ combining like termsdistributive propertyaddition property of equalitymultiplication property of equality

A
combining like terms
B
distributive property
C
addition property of equality
D
multiplication property of equality
4

5(x – 2) = 30combining like terms✔ distributive propertysubtraction property of equalitymultiplication property of equality

A
combining like terms
B
distributive property
C
subtraction property of equality
D
multiplication property of equality
6

What is the value of a?

A
a = –6
B
a = –3
C
a = 5
D
a = 6
7

The property that was used in step 1 was the ✔ distributive property addition property of equalitysubtraction property of equality division property of equality.

A
distributive property
B
addition property of equality
C
subtraction property of equality
D
division property of equality
8

What was Callie’s mistake?

A
Callie should have added 10 to both sides in step 2.
Option A
B
In step 1, when Callie distributed the to the 8, she multiplied incorrectly.
Option B
C
Callie divided by 2 instead of multiplying by 2 in step 3.
Option C
D
Callie should have added 16 to both sides in step 2.
Option D
9

Which equation represents the scenario?

A
30 + (30 – x) = 540
B
540 – 30 = 30 – x
C
30(30 – x) = 540
D
540 – (30 – x) = 30
11

Labron says that Jordan takes 4 weeks of vacation each year. Is he correct? Check all that apply.

A
Yes, he is correct because substituting x = 4 into the equation yielded a true statement.
B
Yes, he is correct because substituting x = 4 into the equation yielded a false statement.
C
No, he is incorrect because substituting x = 4 into the equation yielded a true statement.
D
No, he is incorrect because substituting x = 4 into the equation yielded a false statement.
12

Generate a plan and describe the steps needed to solve the equation. 34 = –(m + 3)

Answer:

Distribute −1 to the terms inside the parentheses, add 3 to both sides using the addition property of equality, and then divide both sides by −1 using the division property of equality. This gives m −37.

13

The property that was used in step 2 was the distributive property ✔ subtraction property of equalitymultiplication property of equality division property of equality.

A
distributive property
B
subtraction property of equality
C
multiplication property of equality
D
division property of equality
14

Which of the following did you include in your response?

A
Distribute –1, multiplying it by both terms.
B
Use the addition property of equality.
C
Use the division property of equality.
15

The property that was used in step 3 was the distributive property addition property of equalitysubtraction property of equality ✔ division property of equality.

A
distributive property
B
addition property of equality
C
subtraction property of equality
D
division property of equality

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