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

Solving by Using the Distributive Property

100

2(x + 5) = 14

x = 2

200

5(d - 2) = 40

d = 10

300

7(4 - t) = -84

t = 16

400

-2(x - 9) = -24

x = 21

500

-13(4 + 2a) = 208

a = -10

Expressions

100

Simplify.

8b + 3b

11b

200

Simplify.

19x - 24x

-5x

300

Simplify.

3 + 5(a + 4)

5a + 23

400

Simplify.

-(2b - 4)

-2b + 4

500

Simplify.

7(t + 8.5) - 5t + 4

2t + 63.5

Equation Grab Bag

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 and Solve an Equation:

 Julie is 3 years older than her sister. Julie's age is 11 years old. How old is her sister?

Julie's sister is 8 years old.

200

Write and Solve an Equation:

Mr. Cruz 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 Mr. Cruz buy?

Each t-shirt cost $12.99

300

Write and Solve an Equation:

Dileney has $128 on a gift card to spend. She spends $78 on running shoes. Tank tops cost $12.50 each. How many tank tops can she buy?

She can buy 4 tank tops.

400

Write and Solve an Equation:

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

Each bag of raisins cost $1.87

500

Write and Solve an Equation:

Tyrone bought a road bike using the store’s payment plan. He made a $320 down payment and makes monthly payments of $91. If the total cost is $1,867, how many months will Tyrone be paying for the bike?

Tyrone will be paying for the bike 17 months.