Skills · Quadratics · Graphing Quadratics

Finding the x-intercepts

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

Problem types

• factored form: y = (x − 1)(x − 5): x-intercepts
• standard form: y = x² − 6x + 5: x-intercepts
• vertex form: y = (x − 2)² − 9: x-intercepts
• one x-intercept, at the vertex: y = (x − 3)²: x-intercepts
• no x-intercepts: y = x² + 4: x-intercepts

Sample Sheet · Level 1

1. y = (x + 2)(x − 1): x-intercepts
2. y = (x − 8)(x − 7): x-intercepts
3. y = (x + 6)(x + 2): x-intercepts
4. y = (x + 4)(x + 7): x-intercepts
5. y = (x − 4)(x + 8): x-intercepts
6. y = (x − 4)(x + 5): x-intercepts
7. y = (x + 1)(x − 8): x-intercepts
8. y = (x + 7)(x − 3): x-intercepts

Answer key

1. x = −2 or x = 1
2. x = 7 or x = 8
3. x = −6 or x = −2
4. x = −7 or x = −4
5. x = −8 or x = 4
6. x = −5 or x = 4
7. x = −1 or x = 8
8. x = −7 or x = 3

Sample Sheet · Level 3

1. y = (x − 2)(x − 7): x-intercepts
2. y = (x − 1)²: x-intercepts
3. y = (x − 2)²: x-intercepts
4. y = (x − 4)(x + 8): x-intercepts
5. y = x² + 5x + 4: x-intercepts
6. y = x² + 6x − 7: x-intercepts
7. y = x² + 4: x-intercepts
8. y = (x − 4)² − 25: x-intercepts

Answer key

1. x = 2 or x = 7
2. x = 1
3. x = 2
4. x = −8 or x = 4
5. x = −4 or x = −1
6. x = −7 or x = 1
7. none
8. x = −1 or x = 9

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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