Skills · Linear Equations · Inequalities

Reading a linear inequality from its graph

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. line through (0, 4) and (−1, 1)4−65−5xy
  2. line through (0, 4) and (1, 6)4−67−3xy
  3. line through (0, −3) and (1, −1)7−36−4xy
  4. line through (0, 0) and (1, 2)7−36−4xy
  5. line through (0, 1) and (1, 3)5−54−6xy
  6. line through (0, −2) and (1, −1)4−65−5xy
  7. line through (0, −1) and (1, 2)4−63−7xy
  8. line through (0, 1) and (1, 4)3−77−3xy

Answer key

  1. y < 3x + 4
  2. y ≥ 2x + 4
  3. y ≤ 2x − 3
  4. y < 2x
  5. y ≤ 2x + 1
  6. y > x − 2
  7. y ≥ 3x − 1
  8. y > 3x + 1

Sample Sheet · Level 3

  1. line through (0, −3) and (3, −5)6−43−7xy
  2. line through (0, 4) and (1, 5)3−75−5xy
  3. line through (0, −3) and (1, −4)5−56−4xy
  4. line through (0, 4) and (1, 4)5−57−3xy
  5. line through (0, −2) and (1, 0)4−63−7xy
  6. line through (0, −3) and (1, −3)4−66−4xy
  7. line through (3, 2) and (3, 3)6−47−3xy
  8. line through (0, 2) and (1, 3)6−44−6xy

Answer key

  1. y < −23x − 3
  2. y < x + 4
  3. y ≤ −x − 3
  4. y ≥ 4
  5. y > 2x − 2
  6. y ≤ −3
  7. x ≤ 3
  8. y ≥ x + 2

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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