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

Problem Solving

100

Jamal owns twice as many comic books as Levi owns.  Adding 6 to the number of comic books Jamal owns and then dividing by 7 gives the number Brooke owns.  If Brooke owns 30 comic books, how many does Levi own?

Levi owns 102 comic books.

200

Three friends ate dinner at a restaurant.  The total bill for their dinner was $27.00.  The friends decide to add a 15% tip and then split the bill evenly.  How much did each friend pay?

Each paid $10.35.

300

A taxi service charges an initial fee of $1.50 plus $1.50 for every mile traveled.  If a taxi ride costs $21.00, how many miles did the taxi travel?

13 miles

400

Coach Willis has won 150 games during his career as a baseball coach.  This is 10 more than 1/2 as many games as Coach Gentry.  How many games has Coach Gentry won?

280 games

500

Miss Rankin's class is raising money for a class trip.  The class has $100.00 so far and needs to collect a total of $225.00.  How many $0.50 carnations must the class sell to reach its goal?

250 carnations