Solving Multi-Step Equations

The Challenge

100

5h + 2 + 2h = 23

h = 3

200

3b + b - 8 = 4

b = 3

300

3a + 12 - 6a = -9

a = 7

400

-6 = -3y + 4 + 5y

y = -5

500

78 = 3c + 12 - c + 4

c = 31

Simple equations

100

x + 5 = 14

x = 9

200

d-2=-5

d = -3

300

-5=y+7

y = -12

400

-2x = -24

x = 12

500

11x=132

x= 12

Expressions

100

Simplify. 8b + 3b

11b

200

Simplify. 19x - 24x

-5x

300

Simplify. 3 + 5a + 4a

3 + 9a

400

Simplify. -2b - 4b

-6b 

500

Simplify. 7t -3t +6y+y-3

4t + 7y - 3

Equation Grab Bag

100

4x + 9 = 33

x = 6

200

x + 3x = -8

x = -2

300

Solve. 4x=48

x=12

400

Solve. 6m - 3=39

m = 7

500

2k + 12= 52

k = 20

Word Problems

100

WRITE AN EQUATION & SOLVE: Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

n - Julie's sister's age n + 3 = 11 n = 8 Julie's sister is 8 years old.

200

If 5 is added to twice a number, the result is 29. Find the number.

x = 12

300

Tyler has 4 boxes of apples. Each box has the same number of apples. After Tyler eats 3 apples, there are 109 apples left in the boxes. How many apples were in each box?

a - # of apples in each box 4a - 3 = 109 a = 28 There were 28 apples in each box.

400

18 is taken away from 8 times a number is 30. Find the number.

8x - 18 = 30 

x = 6

500

 Adman’s father is 49 years old. He is 5 years older than four times Adman’s age. What is Adman’s age?

4x + 5 = 49

x=11