Solving Multi-Step Equations

Solving by Combining Like Terms

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

Addition/Subtraction

100

x + 2 = 46

x=44

200

x - 18 = 24

x=42

300

6 + x = 20

x = 14 

400

63 - x = 43

x = 20

500

x + 24.7 = 33.8

x = 9.1

Find the LCD

100

Find the LCD for 1/2 and 1/4

4

200

What is the LCD for 3/4 and 3/5?

20

300

What is the LCD for 7/9 and 5/6

18

400

What is the LCD for 8/11 and 4/7?

77

500

find the LCD and solve

1/4 + 3/6 = 

9/12 or 3/4

Challenge

100

4x + 9 = 33

x = 6

200

x + 3x = -8

x = -2

300

4(y - 2) + y = -13

y = -1

400

-6(m + 1) + 18 = 24

m = -2

500

7k - 8 + 2(k + 12) = 52

k = 4

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

Serita bought 7 Hannah Montana t-shirts for a total of $90.93. Each t-shirt cost the same amount. How many Hannah Montana t-shirts did Serita buy?

n - # of t-shirts 7n = 90.93 n = 12.99 Each t-shirt cost $12.99

300

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

C- # of hot cheetos in each box 4c - 3 = 109 C = 28 There were 28 bags of hot cheetos in each box.

400

Mrs. Cruz goes to the grocery store and purchases 17 bags of raisins and a $2.97 jar of peanut butter. Her total cost was $34.76. What was the cost for a bag of raisins?

r - cost of a bag of raisins 17r + 2.97 = 34.76 r = 1.87 Each bag of raisins cost $1.87

500

Write an equation & Solve

Mrs. Cruz bought a pie that was $30 including tax and some paper plates. Mrs. Cruz spent a total of $38.75.

How much were the plates?

$8.75.