Algebra 1: Chapter 3 Review

Solving Inequalities

100

3n>-12

n>-4

200

x/3 < -3

x < -9

300

-2 + p/3 > -5

p > -9

400

-1 + 3x > 2

x > 1

500

-4(b-4) > -20

b < 9

Solving "And" Inequalities

100

1 < x + 2 < 2

-1 < x < 0

200

-7 < x - 3 < 1

-4 < x < 4

300

-4 < 3r + 2 < -1

-2 < r < -1

400

-11 < 1 + 3x < 7

-4 < x < 2

500

-6 < -2x + 4 < 10

-3 < x < 5

Solving "Or" Inequalities

100

p + 1 < -1 or p - 3 > -3

p < -2 or p > 0

200

x + 3 > 5 or x - 3 < -9

x > 2 or x < -6

300

2x ≤ -4 or 7x ≥ 49

x ≤ -2 or x ≥ 7

400

-2x - 1 > 1 or -3 + 3x > 9

x < -1 or x > 4

500

4x - 3< -15 or 2 + x > 5

x < -3 or x > 3

Absolute Value Equations

100

|x-4| = 5

x = 9 or x = -1

200

|x| - 3 = 5

x = 8 or x = -8

300

|x + 2| + 1 = 7

x = 4 or x = -8

400

|x/4| - 2 = -1

x = 4 or x = -4

500

2 + |x/3| = 4

x = 6 or x = -6

Absolute Value Inequalities

100

|4n| < 28

-7 < x < 7

200

|x+1| > 5

r > 4 or r < -6

300

|x - 8| - 4 < 0

4 < x < 12

400

|x+8|/4 > 1

x > -4 or x < -12

500

|-7x| + 9 > 37

v < -4 or v > 4