Multi-Step Equations Review

One-Step Equations

100

8m = 24

What is m?

8m = 24

m = 3

200

 11 + r = 29

What is r?

r + 11 = 29

r = 18

300

7h = 21

What is the value of h?

7h = 21

h = 3

400

x + 6 = 12

What is the value of x?

x = 6

500

20x = 100

x = 5

Two-Step Equations

100

2x + 5 = 21

x = 8 

200

3x + 4 = 25

x = 7

300

6x + 8 = 44

x = 6

400

2x + 5 = 7 

X = 1

500

10x - 11 = 19

x = 3

Multi-Step Equations

100

8b + 3b = 22

What is b?

8b + 3b = 22

11b = 22

b = 2

200

30 + 3x = 6x 

x = 10

300

10 + x = 10 + 25

x = 25

400

6(2y + 6) = 72

What is the value of y?

6(2y + 6) =  72

12y + 36 = 72

12y = 36

y=3

500

-6(m + 1) + 18 = 24

What is the value of m?

-6(m + 1) + 18 = 24

-6m -6 + 18 = 24

-6m + 12 = 24

-6m = 12

m = -2

Distributing Multi-Step Equations

100

5 ( x + 10 ) 

5x + 50

200

7(f - 1) = 49

What is f?

7(f - 1) = 49

7f -7 = 49

7f = 56

f = 8

300

5(d - 2) = 40

What is d?

5(d - 2) = 40

5d -10 = 40

5d = 50

d = 10

400

4 (x + 3) - 2 = 6

What is x?

x = -1

500

9(y - 4) = 45 

What is y?

9(y - 4) = 45

9y - 36 = 45

9y = 81

y = 9

Combine Like Terms

100

3x - 2 + 4 

3x + 2

200

3x - x + 5 x - 3

7x - 3

300

7 - 2x + 5 + 6x

4x + 12

400

6x + 4x - 5 + 2

10x - 3

500

x + 4x - 3y + 2y - 5 + 2

5x - y - 3