AnswersMath 8Combining Like Terms to Solve Equations

Solving with the Distributive Property Answers

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1
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Answers:
.:distributive property
.:subtraction property of equality
.:division property of equality
2
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4x = 20addition property of equality✔ division property of equalitymultiplication property of equalitysubtraction property of equality

Answers:
Selection 1:division property of equality
Selection 2:addition property of equality
Selection 3:combining like terms
Selection 4:distributive property
3

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
4

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
5

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
7

What is the value of a?

A
a = –6
B
a = –3
C
a = 5
D
a = 6
9

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
10

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
11

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
12

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
14

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.

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