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Solving Multi-Step Equations
By Elaine Hennebeul [Liberty HS]
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Last updated almost 4 years ago
10 questions
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Choose one correct answer. Show all of your work on a separate piece of paper.
Question 1
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Question 2
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Question 3
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Question 4
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Question 5
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Question 6
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Question 7
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Question 8
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Question 10
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Find the mistake in solving the following equation: 6x - 2(x - 5) = 46.
Identify the mistake and how to correct it in order to solve the equation.
1) Multiply everything inside of the brackets by -2 using the Distributive Property
2) Combine like terms: 6x + -2x = 4x
3) Add 10 to both sides of the equation.
4) Divide both sides of the equation by 4.
Inverse operations ____________ each other.
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In Solving for y, 15y - 7 - 13y = 17, first you would:
Divide by 15
Divide by 13
Combine like terms
Solve for x: 7x - 3x - 8 = 24
x = 8
x = 6
x = 3
Solve for x: 8x - 3x - 10 = 20
x = 3
x = -6
x = 6
In solving for x, 5x + 3(x + 4) = 28, First you would you:
Subtract 3 from both sides of the equation.
Multiply everything inside of the brackets by 3 using the distributive property.
Subtract 28 from both sides of the equation.
Solve for x: 2(x - 1) + 3x = 3
x = 5
x = 1
x = 3
Solve for x: 4(x - 3) = 20
x = 2
x = 5
x = 8
Solve for x: -7(x + 8) = -14
x = -6
x = 6
x = -10
In the following equation, -(2n - 8) = -2, the first step would be to:
Add 2 to both sides of the equation.
Add 8 to both sides of the equation.
Multiply the terms inside the brackets by -1 using the distributive property.