Solving Quadratic Equations

Factoring

Square Root Method

Completing the Square

Quadratic Formula

Radicals

100

Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0

x = 7 x = -2

100

Solve the following quadratic equation by using square roots: x² = 121

+11 or -11

100

Solve the following quadratic equation by completing the square: x² + 6x = -8

x = -2 x = -4

100

Determine the a, b, and c values of the following quadratic.

5x²-3x = 6

a= 5

b= -3

c= -6

100

Is the following rational or irrational? WHY?

sqrt(5) x sqrt(5)

Rational, sqrt(25) = 5 which is a whole number

200

Solve the following quadratic equation by factoring. x²+3x+2 = 0

x = -2 x = -1

200

Solve the following quadratic equation by using square roots: 4x² = 400

x = 10 x = -10

200

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

x = 1 x = 5

200

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

x = -1 x = -5

200

Simplify the following sqrt(80)

4 sqrt(5)

300

Solve the following quadratic equation by factoring. x² - 6x + 5 = 0

x = 5 x = 1

300

Solve the following quadratic equation by using square roots: x² -9 = -8

1 or -1

300

Solve the following quadratic equation by completing the square: x² - 2x - 24 = 0

x = -4 x = 6

300

Solve the following quadratic equation by using the quadratic formula: x² - 9x + 20 = 0

x = 5 x = 4

300

Is the following rational or irrational? WHY?

sqrt(100) x sqrt(6)

Irrational. While sqrt(100)=10, sqrt(6) does not simplify and therefore their product is 10sqrt(6) which is irrational.

400

Solve the following quadratic equation by factoring. x² - 6x - 27 = 0

x = 9 x = -3

400

Solve the following quadratic equation by using square roots: 5x² + 3 = 128

x = 5 x = -5

400

Solve the following quadratic equation by completing the square: x² + 10x +16 = 0

x = -2 x = -8

400

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

x = -1/2 x = -4

400

Rationalize the denominator and simplify.

5/sqrt(10)

sqrt(10)/2

500

Solve the following quadratic equation by using the quadratic formula: 4x² - 17x - 15 = 0

x = 5 x = -3/4

500

Is the following rational or irrational? WHY?

sqrt(3) x sqrt(48)

Rational! Product is sqrt(144) = 12 which is a whole number and therefore rational.