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Solving Multi-Step Equations

Last updated over 3 years ago

10 questions

Instructions

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Choose one correct answer.  Show all of your work on a separate piece of paper.

Question 1

1.

Inverse operations ____________ each other.

complement

undo

add to 

Question 2

2.

In Solving for y, 15y - 7 - 13y = 17, first you would:

Divide by 15

Divide by 13

Combine like terms 

Question 3

3.

Solve for x: 7x - 3x - 8 = 24

x = 8

x = 6

x = 3

Question 4

4.

Solve for x: 8x - 3x - 10 = 20

x = 3

x = -6

x = 6

Question 5

5.

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.

Question 6

6.

Solve for x: 2(x - 1) + 3x = 3

x = 5

x = 1

x = 3

Question 7

7.

Solve for x: 4(x - 3) = 20

x = 2

x = 5

x = 8

Question 8

8.

Solve for x: -7(x + 8) = -14

x = -6

x = 6

x = -10

Question 9

9.

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.

Question 10

10.

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.