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Multi-Step Equations Ms. Towne

Total questions: 18

Worksheet time: 33mins

Name
Class
Date
1.

What is the value of w? 4 + 2w = 2y + 4

a)

w = y

b)

w = 1/4y

c)

w = 2y

d)

w = 1/2y

2.

Which equation has a solution equivalent to the solution to 4 + 3x + 1 = 23

a)

7x + 1 = 23

b)

3x + 5 = 23

c)

4 + 4x = 23

d)

12x + 4 = 23

3.

Justin has read 89 pages of a novel. He has 214 pages to go. Let p represent the number of pages in the entire book. How many pages in the entire book?

p - 89 = 214

a)

235

b)

303

c)

125

d)

293

4.

Which equation is equivalent to 5 = 4(2y + 3)

a)

5 = 8y + 12

b)

5 = 8y + 36

c)

5 = 8y + 3

d)

5 = 8y + 9

5.

What is the length of the orange goldfish?

2x + 3 = 11

a)

4 inches

b)

2.2 inches

c)

7 inches

d)

2.5 inches

6.

Which equation is equivalent to 3(x + 2) - 5(x - 3) = 12

a)

3x + 2 - 5x + 3 = 12

b)

3x + 6 - 5x - 15 =12

c)

3x + 6 - 5x + 15 = 12

d)

3x + 2 - 5x - 3 = 12

7.

Which statement is true about the equation?

3(2 - k) = -3k + 2

a)

The equation has infinitely many solutions

b)

The equation has one solution

c)

The equation has no solution

d)

The equation has two solutions

8.

Which expression CANNOT be solved for z?

a)

9(0) = 3z

b)

6 - (2)(3) = z

c)

z/0 = 15 - 9

d)

6/z = 10 - 8

9.

Based on the equation, which of the following is true?

a)

x = 3

b)

x = 0

c)

infinite solution

d)

no solution

10.

How many solutions does this equation have?

3x + 5 = -2

a)

no solution

b)

one solution

c)

infinite solutions

11.

How many solutions are there?

6(x-11) = 15 -4x

a)

no solution

b)

one solution

c)

infinite solutions

d)

two solutions

12.

How many solutions are there?

12x + 9 = 8x + 1 + 4x

a)

no solution

b)

one solution

c)

infinite solutions

d)

two solutions

13.

How many solutions are there?

2(x - 3) = 10x - 6 - 8x

a)

no solution

b)

one solution

c)

infinite solutions

d)

two solutions

14.

How many solutions are there?

5x + 6 = 5x - 4

a)

no solutions

b)

one solution

c)

infinite solutions

d)

two solutions

15.

Solve for x.

-15 = 8x + 1

a)

x = 2

b)

x = -2

c)

x = 6

d)

x = 8

16.

What is the first step that shows an error in the solution to the equation?

a)

Step 3

b)

Step 1

c)

Step 4

d)

Step 2

17.

The opposite of a negative is?

a)

Negative

b)

Positive

c)

division

d)

multiplication

18.

The opposite of a positive is?

a)

Positive

b)

Negative

c)

Multiplication

d)

Division