CSA 6b Review 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. 

2b² - b = 7

{1/2, -7}

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}

Completing the Square

100

Write an equation (set the equation equal to 0) by completing the square, then solve: x² + 6x = -8

(x+3)² -1 = 0

{-4, -2}

200

Solve the following quadratic equation by completing the square: x² - 6x = -5

 {1, 5}

300

Solve the following quadratic equation by completing the square: x² - 2x = 24

{-4, 6}

400

Solve the following quadratic equation by completing the square: x² + 10x +5 = 0

-5 +- 2(sqrt5)

500

Solve the following quadratic equation by completing the square: 

x² - 8x + 13 = 0

4 +-sqrt 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: x² - 9x + 6 = 0

(9 +- sqrt57)/2

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: 

4x² - 17x =-12 

 

(17 +- sqrt97)/2

Random Math Questions

100

What are three ways you can solve for the x-intercepts?

Completing the Square

Factoring

Quadratic Formula

Graphing 

Taking the Square Root

200

What is the discriminant?

b²-4ac

300

Find the discriminant and tell what that means? 

x² + 3x = -8

-23, which mean no real solutions. 

400

The sum of the squares of two consecutive numbers is 452.  

Write the equation, solve, and name the extraneous answer.  

2x² + 4x -448 = 0

14 and 16

-16

500

The area of two rectangle are equal. The first rectangle has a length that is 1 more than 3 times the width.  The second rectangle has a width that is twice the width of the first rectangle and a length that is 3 more than the width of the first rectangle.   

Find the area of the rectangles.  

80