Skills · Linear Equations · Inequalities

Is the point a solution?

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

Problem types

• a point off the line: Is (3, 1) a solution of y < 2x + 1?
• a point on the boundary line: Is (3, 7) a solution of y < 2x + 1?
• the inequality written with y on the right: Is (3, 1) a solution of 2x + 1 > y?

Sample Sheet · Level 1

1. Is (3, −9) a solution of y > −2x − 4?
2. Is (−2, −7) a solution of y ≤ 2x − 5?
3. Is (−4, 7) a solution of y ≤ −3x − 1?
4. Is (3, 7) a solution of y < 2x − 3?
5. Is (4, −14) a solution of y < −2x?
6. Is (5, −15) a solution of y ≥ −x − 6?
7. Is (−1, −2) a solution of y < 3x − 1?
8. Is (1, 3) a solution of y ≥ −3x + 5?

Answer key

1. yes
2. no
3. yes
4. no
5. yes
6. no
7. no
8. yes

Sample Sheet · Level 3

1. Is (−2, 0) a solution of 12x − 2 ≥ y?
2. Is (−5, −7) a solution of y > 2x?
3. Is (3, 0) a solution of y > 2x − 6?
4. Is (1, −4) a solution of y ≤ 2x − 6?
5. Is (1, −12) a solution of −3x − 6 > y?
6. Is (−2, 13) a solution of y < −32x + 5?
7. Is (−2, 10) a solution of −x + 5 > y?
8. Is (0, 2) a solution of y ≤ −3x + 4?

Answer key

1. no
2. yes
3. no
4. yes
5. yes
6. no
7. no
8. yes

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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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