Elimination Method
Substitution Method
Systems of Equations
Solving Inequalities
Systems of Inequalities
Random Review
100

x2 - 1 = 0

x = 1, x = -1

100

Solve the following quadratic equation by factoring:


x = 2 x = -2

100

Solve for x:


x^2-59=5

x=8or x=-8

100

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

x = -2 , x = -4

100

What is the quadratic formula?

x = (-b ±  √ (b2 - 4ac)) /2a

100

What are the 4 ways you can solve a quadratic equation?

Taking square roots

Completing the Square

Factoring

Quadratic Formula

200

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

x = -2, x = -1

200

Solve the following quadratic equation by factoring:

x^2-2x-3=-3

x=0 or x = 2

200

16x^2=25

x=5/4 or x=- 5/4

200

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

x = 1, x = 5

200

b^2-4ac

The discriminant

200

If your discriminant is negative, what does that mean?

You will have two, non-real roots.

300

Solve the following quadratic equation by factoring. 

x2 - 6x + 5 = 0

x = 5, x = 1

300

Solve the following quadratic equation by factoring: 4x2 - 400 = 0

x = 10 , x = -10

300

Solve for x:

(x-1)^2-15=-14

x=2 or x=0

300

Solve the following quadratic equation by completing the square: 2x2 - 4x = 48

x = -4 x = 6

300

Solve the following quadratic equation by using the quadratic formula: x2 - 9x + 6 = 0

(9+-sqrt(57))/2

300

The most efficient way (of the four we learned) to solve this equation?

7x^2-13x+52=0


Quadratic Formula

400

Solve the following quadratic equation by factoring. 

5x+ 20x + 15= 0

x = -1 and x = -3

400

Solve the following quadratic equation by factoring: 

10x^2 -15x = 27+4x^2 - 6x

x = 3 , x = - 3/2 

400

Solve for x:

5(x+7)^2+10=25

x=-7+-sqrt(3)

400

Solve the following quadratic equation by completing the square.

x2 - 8x + 13 = 0

x = 4 ± √ 3

400

Solve the following quadratic equation by using the quadratic formula: 

4x2 - 17x =-12 

x=(17+-sqrt(97))/8

400

Solve the following equation using your choice of method:

12x^2+x+7=5x^2+5x

Two non-real solutions

500

Solve the following quadratic equation by factoring. 

x2 - 3x -18 = 0

x = 6, x = - 3

500

Solve the following quadratic equation by factoring:

4x^2+19x=-15

 x=-1

X=- 15/4



500

Solve for x:

2(x-3)^2+7=31

x=3+-2sqrt(3)

500

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

x=-5+-2sqrt(5)

500

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

x=- 1/2 or x = -4

500

The discriminant of this equation:

-2x^2+3x-5=-4x^2+5x+2




60

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