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??

Factoring

Quadratic Formula

Graphing 

200

What is the discriminant (the stuff under the square root in the quadratic formula)?

b²-4ac

300

Name three ways to solve a quadratic equation.

Graphing

Factoring

Quadratic Formula

Square roots

400

What is the standard form of a quadratic equation?

ax² + bx + c = 0

500

Write the quadratic formula equation?

Don't forget x =