IM2 Solving Quadratic Equations

Factoring

100

x² - 1 = 0

{-1, 1}

200

Solve the following quadratic equation by factoring. 

x² - 6x + 5 = 0

{1, 5}

300

Solve the following quadratic equation by factoring.

 n² - 7n + 6=0

{6, 1}

400

Solve the following quadratic equation by factoring. 

b² - 8b = 20

{10, -2}

500

Solve the following quadratic equation by factoring. 

9x² + 5x - 24= 8x² + -5x

{-12, 2}

More Factoring

100

Solve the following quadratic equation by factoring:

 x² - 4 = 0

{-2, 2}

200

Solve the following quadratic equation by factoring:

9x² - 81x = 0

{0, 9}

300

Solve the following quadratic equation by factoring: 

(k - 3)(5k + 1) = 0

{3, -1/5}

400

Solve the following quadratic equation by factoring: 

5n² + 41n - 12 = -4 + 2n

{1/5, -8}

500

Solve the following quadratic equation by factoring: 

-2m² - 60m +72 = -8m² - 3m

{3/2, 8}

Taking Square Roots

100

Solve the following quadratic equation  x²  = 16

{-4, 4}

200

Solve the following quadratic equation : x²  = -16

 {No solution}

300

Solve the following quadratic equation by completing the square: x² - 2 = 23

{-5, 5}

400

Solve the following quadratic equation.  Round your answers to the nearest hundredth: x² + 5 = 0

{-2.24, 2.24}

500

Solve the following quadratic equation: 

2x² -5 = 13

x = 3, x = -3

Quadratic Formula

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

200

Solve the following quadratic equation by using the quadratic formula: x² + 6x + 5 = 0

x = -1, x = -5

300

Solve the following quadratic equation by using the quadratic formula.  Round your answer to the nearest hundredth: x² - 9x + 6 = 0

{0.72, 8.27}

400

Solve the following quadratic equation by using the quadratic formula: 2x² + 9x + 4 = 0

{-1/2, -4}

500

Solve the following quadratic equation by using the quadratic formula (nearest tenth): 

4x² - 17x =-12 

{0.9, 3.4} 

Random Math Questions

100

What is one way to find x intercepts on a graph??

Completing the Square

Zero Product Property (factoring)

Quadratic Formula

Graphing 

200

What is the discriminant?

b²-4ac

300

Name three ways to solve a quadratic equation.

Solving quadratics by completing the square, solving quadratics by graphing, factoring quadratics, solving quadratics using the quadratic formula or taking square roots

400

What is the standard form of a quadratic equation?

ax² + bx + c = 0

500

What is the quadratic formula?

-b +-