Inequalities

The four inequality types on four sheets — one-step each way, two-step, and a mixed page that does not say which is coming.

4 sheets · 40 questions · one answer key · 5 pages

Recommended for grades 6–7

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One-step + and − Sheet 1 of 4

InequalitiesTo 50

Name: Date:

Solve each one, then write >, <, ≥ or ≤ in the box.

1x − 1 < 32x33

2x + 7 < 41x34

3x + 6 < 13x7

4x − 9 ≥ 23x32

5x + 2 > 43x41

6x − 10 > 30x40

7x + 1 ≥ 10x9

8x − 6 < 15x21

9x + 1 ≥ 39x38

10x + 1 > 44x43

InequalitiesTo 50

Name: Date:

Solve each one, then write >, <, ≥ or ≤ in the box.

1−8x ≤ −8x1

2−2x ≤ −22x11

32x ≤ −14x−7

4−7x ≥ −7x1

5−3x ≥ 24x−8

64x > 16x4

78x ≥ 32x4

8−6x > −30x5

96x ≥ 18x3

104x < 4x1

InequalitiesTo 50

Name: Date:

Solve each one, then write >, <, ≥ or ≤ in the box.

13x + 4 ≥ −32x−12

27x + 9 ≤ 44x5

3−2x + 9 > −31x20

4−4x + 4 ≥ 28x−6

52x + 4 < 22x9

62x + 10 ≤ 20x5

7−8x + 11 ≤ −5x2

8−5x + 3 ≥ 43x−8

9−3x + 11 > −13x8

106x + 10 ≥ 40x5

InequalitiesTo 50

Name: Date:

Solve each one, then write >, <, ≥ or ≤ in the box.

1−3x + 3 > 33x−10

2−2x + 3 ≥ −37x20

3−3x < −48x16

4−3x + 3 ≥ −33x12

52x < 40x20

6−6x > 24x−4

74x > −36x−9

8x + 12 < 25x13

97x + 11 ≥ −24x−5

10x − 7 ≤ 20x27

Power Pack · InequalitiesAnswer key

One-step + and −

1. x − 1 < 32 → x < 332. x + 7 < 41 → x < 343. x + 6 < 13 → x < 74. x − 9 ≥ 23 → x ≥ 325. x + 2 > 43 → x > 416. x − 10 > 30 → x > 407. x + 1 ≥ 10 → x ≥ 98. x − 6 < 15 → x < 219. x + 1 ≥ 39 → x ≥ 3810. x + 1 > 44 → x > 43

One-step × and ÷

1. −8x ≤ −8 → x ≥ 12. −2x ≤ −22 → x ≥ 113. 2x ≤ −14 → x ≤ −74. −7x ≥ −7 → x ≤ 15. −3x ≥ 24 → x ≤ −86. 4x > 16 → x > 47. 8x ≥ 32 → x ≥ 48. −6x > −30 → x < 59. 6x ≥ 18 → x ≥ 310. 4x < 4 → x < 1

Two-step

1. 3x + 4 ≥ −32 → x ≥ −122. 7x + 9 ≤ 44 → x ≤ 53. −2x + 9 > −31 → x < 204. −4x + 4 ≥ 28 → x ≤ −65. 2x + 4 < 22 → x < 96. 2x + 10 ≤ 20 → x ≤ 57. −8x + 11 ≤ −5 → x ≥ 28. −5x + 3 ≥ 43 → x ≤ −89. −3x + 11 > −13 → x < 810. 6x + 10 ≥ 40 → x ≥ 5

Mixed

1. −3x + 3 > 33 → x < −102. −2x + 3 ≥ −37 → x ≤ 203. −3x < −48 → x > 164. −3x + 3 ≥ −33 → x ≤ 125. 2x < 40 → x < 206. −6x > 24 → x < −47. 4x > −36 → x > −98. x + 12 < 25 → x < 139. 7x + 11 ≥ −24 → x ≥ −510. x − 7 ≤ 20 → x ≤ 27

Inequalities

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The algebra track

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