Skills · Linear Equations · Inequalities
Multi-step inequalities: with distribution
Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.
Problem types
- distribute, then combine: 2(x + 3) + 4x < 18
- distribute, x on both sides: 3(x + 2) > x + 10
- distribute, x on both sides (flip): 2(x + 1) ≥ 5x − 4
Sample Sheet · Level 1
- 4(x + 1) − x < −11
- 4(x − 7) − 2x < −24
- 4(x + 2) − x ≥ 2
- 3(x − 4) − x > −10
- 6(x − 7) ≤ 2x − 34
- 6(x + 1) ≤ 4x + 14
- 4(x + 5) < 2x + 30
- 2x − 22 < 6(x − 1)
Answer key
- x < −5
- x < 2
- x ≥ −2
- x > 1
- x ≤ 2
- x ≤ 4
- x < 5
- x > −4
Sample Sheet · Level 3
- 6(x + 7) + x ≤ 99
- 2x + 3(x + 7) < −10
- 6(x − 3) ≥ 3x − 87
- −62 ≥ 3(x − 8) + 6x
- 3(x + 4) > x − 16
- 6(x − 2) ≥ 9x − 45
- 6x − 5 ≥ 2(x + 8)
- 3x − 17 ≤ 5(x − 5)
Answer key
- x ≤ 577 = 817
- x < −315 = −615
- x ≥ −23
- x ≤ −389 = −429
- x > −14
- x ≤ 11
- x ≥ 214 = 514
- x ≥ 4
Make your own
Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.