Skills · Quadratics · Solving Quadratics
Completing the square
Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.
Problem types
- x² + bx = c: x² + 6x = 7
- x² + bx + c = 0 (move c first): x² + 6x − 7 = 0
- a radical answer: x² + 4x = 1
- ax² + bx = c (divide by a first): 2x² + 8x = 10
Sample Sheet · Level 1
- x² + 16x = −63
- x² + 2x = 3
- x² + 14x = −48
- x² − 4x = 32
- x² − 8x = 9
- x² − 12x = −27
- x² − 10x = −24
- x² − 6x = −5
Answer key
- x = −9 or x = −7
- x = −3 or x = 1
- x = −8 or x = −6
- x = −4 or x = 8
- x = −1 or x = 9
- x = 3 or x = 9
- x = 4 or x = 6
- x = 1 or x = 5
Sample Sheet · Level 3
- x² − 6x = 44
- x² − 6x = 55
- x² + 22x = −120
- x² − 12x = −18
- x² − 2x − 24 = 0
- 4x² + 16x = 128
- 3x² − 12x = 63
- x² − 6x + 8 = 0
Answer key
- x = 3 ± √53
- x = −5 or x = 11
- x = −12 or x = −10
- x = 6 ± 3√2
- x = −4 or x = 6
- x = −8 or x = 4
- x = −3 or x = 7
- x = 2 or 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.