Match each set of steps with the property that explains why the two equations are equivalent.
Draggable item
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Corresponding Item
5x = 3 - x
5x = -x + 3
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Not Equal
5x = 20
4 - 5x = 24
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Commutative Property
16 = 4(9 - x)
16 = 36 - 4x
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Division Property of Equality
-3(2x + 9) = 12
2x + 9 = -4
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Subtraction Property of Equality
18 = 3x - 6 + x
18 = 4x - 6
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Distributive Property
5x = 4 + 2x
3x = 24
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Combine Like Terms
5 points
5
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
5 points
5
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
5 points
5
Question 5
5.
Does this equation have one solution, no solution, or infinitely many solutions?
5 points
5
Question 6
6.
5 points
5
Question 7
7.
5 points
5
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?
5 points
5
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?