Algebra 2

Factoring

100

Factor the expression completely

x² + 8x + 12

(x + 6)(x + 2)

200

Factor the expression completely

x² - 11x + 28

(x - 7)(x - 4)

300

Factor the expression completely

x² + x - 56

(x + 8)(x - 7)

400

Factor the expression completely

2x² + 12x + 10

2(x + 5)(x + 1)

500

Factor the expression completely

5x² - 9x - 18

(5x + 6)(x - 3)

FOIL

100

Multiply

(x + 1)(x + 8)

x² + 9x + 8

200

Multiply

(x - 4)(x + 10)

x² + 6x - 40

300

Multiply

(x - 12)(x - 15)

x² - 27x + 180

400

Multiply

(x² + 3)(x² + 3)

x⁴ + 6x² + 9

500

Multiply

(x + 2)(x + 4)(x - 1)

x³ + 5x² + 2x - 8

Graphs of Quadratic Equations

100

The name of the point where a graph hits the y-axis.

y-intercept

200

The name of the point at the top or bottom of a quadratic equation graph.

Vertex

300

The name of the shape of a quadratic equation graph.

Parabola

400

The maximum number of x-intercepts in a quadratic equation graph.

2

500

The value of c that would give the following equation exactly one x-intercept.

y = x² + 10x + c

c = 25

Solving Quadratic Equations

100

Find all solutions for the quadratic equation:

(x + 5)(x + 8) = 0

x = -5, -8

200

Find all solutions for the quadratic equation:

(4x - 1)(2x - 11) = 0

x = 1/4,   11/2

300

Find all solutions for the quadratic equation:

x² - 12x + 35 = 0

x = 5, 7

400

Find all solutions for the quadratic equation:

x² + 13x = 14

x = -14, 1

500

What is the Quadratic Formula?

x = (-b +- sqrt(b² - 4ac))/2a

Identifying Vertex and Intercepts

100

The y-intercept of the equation:

y = x² - 2x + 77

(0, 77)

200

The vertex of the equation:

y = -3(x + 7)² + 10

(-7, 10)

300

The formula to find the x-coordinate of the vertex of an equation in standard form.

x = -b/(2a)

400

The y-intercept of the equation:

y = 6(x - 4)² - 24

(0, 72)

500

The x-intercepts of the equation:

y = 6(x - 4)² - 24

(2,0) and (6,0)