Free Printable Solving Multi-Step Equations

1.

Solve the following equation:
$4x+7=35$

a)

$x=5$

b)

$x=7$

c)

$x=10$

d)

$x=-5$

2.

Solve the following equation:
$-5x+3=68$

a)

$x=13$

b)

$x=-13$

c)

$x=14$

d)

$x=-14$

3.

Solve the following equation:
$16=\frac{1}{7}x-4$

a)

$x=140$

b)

$x=84$

c)

$x=70$

d)

$x=3$

4.

$Solve:\ 3x\ -9\ =2x\ +6\ +\ x$

a)

No Solution

b)

Infinite Solutions

5.

$Solve:\ \ 3\left(4-6w\right)+9=-15w+30$

(a)

6.

$34+6x=2+16x-28$

a)

$x=6$

b)

$x=7$

c)

$x=-2$

d)

$x=3$

7.

Solve the equation: $3x-x+2=4(2x-1)$

a)

All real numbers

b)

x = 1

c)

x = -1

d)

No real solution

8.

Which is the correct order in which to solve multi-step equations?

a)

Distribute

Combine like terms

Get the variable on one side by add or subtracting

Divide or multiple

b)

Add or subtracting

Distribute

Combine like terms

Divide or multiple

c)

Divide or multiple

Add or subtracting

Distribute

Combine like terms

9.

Solve

$4m-5\left(3m+10\right)=126$

a)

-16

b)

16

c)

15

d)

-15

10.

Solve

$5-\left(x-18\right)=6-2\left(x+15\right)$

a)

1

b)

8

c)

-7

d)

7

11.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

12.

What is the NEXT step in solving the following equation?

3x + 7 = x - 21

2x + 7 = -21

a)

2x = -28

b)

2x = 28

c)

2x = 14

d)

2x = -14

13.

Which step is incorrect?

2(1-5n) = -30 - 2n

Step 1: 2 - 7n = -30 - 2n

Step 2: 2 = -30 + 8n

Step 3: 32 = 8n

Step 4: 4 = n

a)

step 1

b)

step 3

c)

correct answer

d)

step 2

14.

Which step is incorrect?

120 = -4(7a+2)

Step 1: 120 = -28a - 8

Step 2: 112 = -28a

Step 3: a=-4

a)

Problem is correct

b)

step 1

c)

step 2

d)

step 3

15.

What is the first step to solve this equation?
3n - 4 = -2 + 2n

a)

Add 2n to both sides of the equation

b)

Add 3n to both sides of the equation

c)

Subtract 2n from both sides of the equation

d)

Subtract 4 from both sides of the equation

Solving Multi-Step Equations

Total questions: 15

Worksheet time: 31mins

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