Inequalities Review

Single Step Inequalities

100

4 + x > 10

x > 6

200

Solve x - 2 > -20

x > -18

300

Solve -3x < 15

x > -5

400

Solve the inequality x / 4 < -8 and name one solution

x < -32 (Example - 40)

500

Solve and graph (-3/4) x < 9

x > -12

Multi-Step Inequalities

100

Solve 2x - 5 < 15

x < 10

200

Solve x / 4 + 20 > 40

x > 80

300

Solve and give a solution of the inequality 32 < -4x + 8

x < -6

400

Solve and graph 3 (6x - 1) > 18 - 3x

x > 1

500

Solve and graph -6 (1 + 6x) < 6 (1 - 5x)

x > -2

Compound Inequalities

100

x + 8 > 9 and x/7 < 1

1 < x < 7 ( x > 1 and x < 7)

200

-1 < 9 + n < 17

-10 < n < 8 (n > -10 and n < 8)

300

7x - 5 > 65 or -3x - 2 > -2

x > 10 or x < 0

400

Solve and name one solution of 5x - 5 > -7x - 5 or 3x + 5 < x - 1

x > 0 or x < -3

500

Solve and graph 10 < -4x - 17 < 19

-9 < x < -27/4

Absolute Value Equations

100

|-6 + x| = 12

x = -6 or x = 18

200

|x| + 2 = 4

x = 2 and x = -2

300

-3|x+5|=6

no solution

400

Solve and graph 5|x + 4| + 3 = 33

x = 2 or x = -10

500

Solve and graph 9 - 4|-3 + 2x| = -59

x = 10 or x = -7

Review and Random

100

Which property represents the following? 9 ( 4 + x ) = 9 ( x + 4)

Commutative Property of Addition

200

Which would be a solution of the following inequality 2x + 5 < 15 A) 4 C) 10 B) 5 D) 8

4 is a solution because x < 5

300

Put these in order from least to greatest 1/3, 3, Pi, -10/3, and the square root of 8

-10/3, 1/3, square root of 8, 3, Pi,

400

What property is represented by the following 8(xy) =(8x)y

Associative Property

500

What is the solution of the following equation? 4 (2x + 10) = 8x + 3

No Solution