U2 Linear Expressions and Equations

Simplify Expressions

100

5d - 7 - d + 4

4d - 3

200

8k + 4 - 11k + 9

-3k + 13

300

7.8c + 6p - 3.4c - 10

4.4c + 6p - 10

Distributive Property

100

Simplify:

-8(3f - 9)

-24f + 72

200

Simplify: 

5(b + 6) - 3b

2b + 30

300

Factor:

2x - 10y

2(x - 5y)

One-Step Equations

100

-29 + x = -113

x = -84

200

5x = 75

x = 15

300

x/13 = 7

x = 91

Two-Step Equations

100

-5x + 9 = 24

x = -3

200

17 + r/3 = 28

r = 33

300

6(1.5x - 2) = 24 

x = 4

Word Problems

100

A plumber was called to fix a pipe leak at an apartment complex. The plumber charges $55 for a service call, plus $35 per hour spent working. How many hours did the plumber spend working if he charged $160?

Equation: 35x + 55 = 160 ; x = 3 (3 hours)

200

Stephanie is 7 years younger than her sister. Their combined ages add up to 19. How old is Stephanie's sister?

Equation: 2x - 7 = 19

x = 13 (Stephanie's sister is 13 years old)

300

Five friends each bought a movie ticket and 2 candy bars. The movie tickets were priced at $6.00 each. If the total cost for all 5 friends was $57.00, what was the price for one candy bar?

Equation: 5(6 + 2c) = 57

c = 2.7 (one candy bar costs $2.70)