Equation & Inequalities

Solving Equations

100

x - 8 = 4

x= 12

200

2x + 5 = - 45

x= -25

300

4(x - 2) = 32

x= 10

400

-3(9 + x) - 15x = 117

x= 8

500

6p + 2 + p − 3 = 8(p −1)

p = 7

Solving Inequalities

100

3x > 87

x > 29

200

3x + 5 < 14

x < 3

300

-4 - 5d > 96

d < -20

400

6x + 2 + 6x - 10 < 14

x < 11

500

-3 - 6(4x+6) > -111

x < 3

Writing Equations

100

Jill sold half of her comic books and then bought sixteen more. She now has 36. 

x/2 + 16 = 36

200

Juan’s cell phone company charges $35 a month for phone service plus $0.50 for each text message. He spent a total of $52 in a month. 

35 + .5x = 52

300

Long’s Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month, Ruby spent $26.95 on a mug and refills. 

8.95 + 1.50x = 26.95

400

331 students went on a field trip. Six buses were filled and 7 students traveled in cars.

6x + 7 = 331

500

The cost to purchase a song from iTunes is $0.99 per song. To purchase a song from Napster, you must be a member. The Napster membership fee is $10. In addition, each purchased song costs $0.89. 

.99x = 10 + .89x

GCF & Factoring

100

Find the GCF of 21 and 42

21

200

10x + 5

5 (2x + 1)

300

12x + 8y - 24

4 ( 3x + 2y - 6) 

400

ac + ab + 3abc

a(c + b + 3bc) 

500

20gh - 36gh + 28g 

4g (5h - 9h + 7)

Combining Like Terms

100

x + x + x

3x

200

2x + 5 - 15x - 22 

-13x -17

300

2( 2x + 5) + 3

4x + 13

400

4 - (-2 + 24x - 5) + 12x + x

11 - 11x

500

4xy + 3yx - 2x - y + 10x² - 14x + 5y

7xy - 16x + 4y + 10x²