Skills · Linear Equations · Inequalities

Multi-step inequalities: combine like terms

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. −6x + 9x − 4 ≥ −16
  2. −x + 4x − 6 < −18
  3. −8x − 1 + 10x < 11
  4. −34 > −x − 6 + 5x
  5. 10x − 4 ≥ 5x − 49
  6. 7x − 2 ≥ 5x + 16
  7. 4x + 4 ≥ x + 25
  8. 5x − 2 ≥ 3x + 2

Answer key

  1. x ≥ −4
  2. x < −4
  3. x < 6
  4. x < −7
  5. x ≥ −9
  6. x ≥ 9
  7. x ≥ 7
  8. x ≥ 2

Sample Sheet · Level 3

  1. 3x − 7x + 20 ≥ −28
  2. 2x + 5x − 4 < 45
  3. 2x + 13 ≤ 4x + 9
  4. 24 − x ≥ 44 + 3x
  5. 12x − 22 > 8x − 106
  6. 5x + 2x − 4 − 7 − 11x ≤ −8x − 10
  7. 7x + 4 − 9x − 11 ≥ x + 11
  8. 8 + 10x + 2 − 9x + 3x < −2x − 20

Answer key

  1. x ≤ 12
  2. x < 7
  3. x ≥ 2
  4. x ≤ −5
  5. x > −21
  6. x ≤ 14
  7. x ≤ −6
  8. x < −5

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.

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