Algebra 2

Distribution (Box Method)

100

(x+5)(x-7)

x²-2x-35

200

(x-2)(x-5)

x²-7x+10

300

(x+9)²

x²+18x+81

400

(2x-1)²

4x²-4x+1

500

(3x+5)(6x-1)

18x²+27x-5

Solving

100

Solve the following equation for x:

x + 6 = 10

x=4

200

Solve the following equation for x:

2x + 7 = -8

x=-7.5

x=-15/2

300

Solve the following equation for x:

2-5(7x-6)=242

x=-6

400

Solve the following equation for x:

-7+2x=-2(x+1)+3

x=2

500

Solve the following equation for x:

3x²+2=14

x=-2

x=2

Factoring

100

Factor the following quadratics completely:

x²-3x-10=0

(x+2)(x-5)

200

Factor the following quadratics completely:

x²-9x=-14

(x-7)(x-2)

300

Factor the following quadratics completely:

x²+7x-8

(x+8)(x-1)

400

Factor the following quadratics completely:

2x²+3x-20

(2x-5)(x+4)

500

Factor the following quadratics completely:

5x²-9x+4

(5x-4)(x-1)

Quadratic Formula

100

Solve the following quadratic using the quadratic formula:

2x²-9x-5=0

x = 5, x = -1/2

200

Solve the following quadratic using the quadratic formula:

3x²-4x-1=0

x=(2+-sqrt2)/3

300

Solve the following quadratic using the quadratic formula:

6x²-7x+6=0

No real solution

400

Solve the following quadratic using the quadratic formula:

2x²-15=0

x=+-(sqrt30)/2

500

Solve the following quadratic using the quadratic formula:

4x²-18=10x

x=(5+-sqrt97)/2

General Questions

100

Quadratic equations take the shape of a what when graphed.

Parabola

200

How many solutions does this graph have? (Draw on the board)

0 solutions

300

What is the standard form of a quadratic equation?

y = ax² + bx + c

400

Looking at the standard form of a quadratic equation, which value represents the y-intercept?

y = ax² + bx + c, c represents the y-intercept

500

Looking at this parabola (draw it), what can you conclude about the value of a?

a is negative