Multi-Step Equations

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

a/9 =-3

What is the value of a?

a/9 = -3

a = -27

500

x - 4.3 = 5.7

What is the value of x?

x - 4.3 = 5.7

x = 10

Combine like terms

100

-3m - 2m = 0

What is m?

-3m - 2m = 0

-5m = 0

m = 0

200

-10p + 9p = 12

Solve for p

-10p + 9p = 12

-1p = 12

p = -12

300

-3a + 11 -7a = -9

What is the value of a?

-3a + 11 -7a = -9

-10a + 11 = -9

-10a = -20 

a = 2

400

(a + 3)/6 = -2

Find the value of a.

(a + 3)/6 = -2

a + 3 = -12

a = -15

500

9t - 6 - 6t = 6

What is the value of t?

9t - 6 - 6t = 6

3t - 6 = 6

3t = 12

t = 4

Multi-Step Equations 1

100

8b + 15 = 3b

What is b?

15 = -5b

b = -3

200

19x -5 = 10 + 24x

What is the value of x?

19x -5 = 10 + 24x

-5 = 10 + 5x

-15 = 5x

x = -3

300

5(a - 5) = 8 + 2a 

What is the value of a?

5a - 25 = 8 + 2a

5a = 33 + 2a

3a = 33

a = 11

400

6(2y + 6) - 4y - 5= 25

What is the value of y?

6(2y + 6) - 4y - 5= 25

12y + 36 - 4y - 5 = 25

8y + 31 = 25

8y= -6

y= -3/4

500

-6(m + 1) + 18 = 24 + 2 (m - 1)

What is the value of m?

-6(m + 1) + 18 = 24 + 2(m - 1)

-6m -6 + 18 = 24 + 2m - 2

-6m + 12 = 22 + 2m

-8m = 10

m = -10/8 or -5/4

Multi-Step Equations 2

100

64 = 8(r + 2)

What is r?

64 = 8(r + 2)

64 = 8r + 16

48 = 8r

r = 6

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

2(4x + 5) + 3 = 13

What is x?

x = 0

500

9(y - 4) - 7y = 5(3y - 2)

What is y?

9(y - 4) - 7y = 5(3y - 2)

9y - 36 -7y = 15y - 10

2y -36 = 15y -10

2y - 26 =15y

-26 = 13y

y = -2

Equations with Fractions :)

100

10 = 1/2 (x + 6)

x = 14

200

4 = 1/3(3x + 6)

x = 2

300

7 = 1/4(6x + 4)

x = 4

400

3 = 3/2 (7x - 4)

x = 6/7

500

5 = 1/3 (5x + 3)

x = 12/5