Solving Quadratics

Factoring

100

Solve: (n+3)(n+6)

What is n = -3, -6

200

Solve: x² - 2x - 24 = 0

What is x = -4, 6

300

Solve: m² = -9n - 14

What is m = -2, -7

400

Solve: 42n² = -7n + 105

What is n = -5/3, 3/2

500

Solve: 4a² - 20a + 21 = 0

What is n = -3/2, 7/2

Difference of Squares

100

Solve: x² - 9

What is x = -3, 3

200

Solve: 49x² - 16 = 0

What is x = -4/7, 4/7

300

Solve: 25x² + 121 = 0

What is x = -11/5, 11/5

400

Solve: 80n² - 5 = 0

What is n = -1/4, 1/4

500

What is 36x² - 64 = 0

What is x = -4/3, 4/3

Simplifying Square Roots

100

Simplify: rad(18)

What is 3rad(2)?

200

Simplify: rad(32)

What is 4rad(2)?

300

Simplify: 6rad(486)

What is 54rad(6)?

400

Simplify: 9rad(72)

What is 54rad(2)?

500

Simplify: -7rad(810)

What is -63rad(10)?

Solving by Square Rooting

100

Solve: x² + 4 = 7

What is x = rad(3), -rad(3)

200

Solve: 8x² = 264

What is x = rad(33), -rad(33)?

300

7a² - 3 = 25

What is a = 2, -2?

400

Solve: 9 + 64x² = 90

What is x = 9/8, -9/8

500

Solve: 19x² + 20 = 2338

What is x = rad(122), -rad(122)?