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Laabri

Multi-Step Equations

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Last updated about 4 years ago
10 Nsɛmmisa
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1.

Check all the expressions that are equivalent to

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2.

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

Draggable itemarrow_right_altCorresponding Item

5x = 4 + 2x

3x = 24

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Not Equal

-3(2x + 9) = 12

2x + 9 = -4

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Commutative Property

5x = 20

4 - 5x = 24

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Division Property of Equality

18 = 3x - 6 + x

18 = 4x - 6

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Subtraction Property of Equality

5x = 3 - x

5x = -x + 3

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Distributive Property

16 = 4(9 - x)

16 = 36 - 4x

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Combine Like Terms

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3.

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

9x = 5x + 4

14x = 4

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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

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5.

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

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6.

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7.

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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?

Asemmisa {{asɛmmisaAhyɛnsode}}
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?

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10.

Bonus:

Find the perimeter of the equilateral triangle.