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Multi-Step Equations

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Last updated over 3 years ago
10 questions
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Question 1
1.

Check all the expressions that are equivalent to

Question 2
2.

Match each set of steps with the property that explains why the two equations are equivalent.

Draggable itemarrow_right_altCorresponding Item
18 = 3x - 6 + x
18 = 4x - 6
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Not Equal
16 = 4(9 - x)
16 = 36 - 4x
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Commutative Property
5x = 4 + 2x
3x = 24
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Division Property of Equality
5x = 3 - x
5x = -x + 3
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Subtraction Property of Equality
-3(2x + 9) = 12
2x + 9 = -4
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Distributive Property
5x = 20
4 - 5x = 24
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Combine Like Terms
Question 3
3.

Did this student go from the first step to the second step correctly? Select all that are true.

9x = 5x + 4
14x = 4

Question 4
4.

Did this student go from the first step to the second step correctly? Select all that are true.

-11(x - 2) = 8
x - 2 = 8 + 11

Question 5
5.

Does this equation have one solution, no solution, or infinitely many solutions?

Question 6
6.

Question 7
7.

Question 8
8.

Makayla is getting a new phone plan. Plan A will charge her $10 per month plus $0.10 per text message. Plan B will charge $35 per month plus $0.05 per text message. How many text messages will make the two plans cost the same for one month?

Question 9
9.

Makayla is getting a new phone plan. Plan A will charge her $10 per month plus $0.10 per text message. Plan B will charge $35 per month plus $0.05 per text message. When the cost of the two plans for one month is equal, what is that cost?

Question 10
10.

Bonus:
Find the perimeter of the equilateral triangle.