Algebra I Chapter 8-9 Review

Factor & Solve

100

Solve the following quadratic equation by factoring: x² -4x - 12.

x = -2, 6

200

Solve the following equation by factoring: 

x² - 4x + 3 = 0

x = 1, x = 3 

300

Solve the following equation by factoring: 

-9 - 8x + x²= 0

x = -1, x =9

400

Solve the following quadratic equation by factoring: 

x² - 14x - 72.

x = -4, 18

500

Solve the following equation by factoring:

b² = 10b - 16

b = 2, b = 8

Factoring Quadratics

100

t²+ 8t + 12

(t + 2) (t + 6)

200

t² - 15t + 56

(t - 7) (t - 8)

300

x² + 12x + 20

(x + 2) (x + 10)

400

X² - 23x + 132

(x - 11) (x - 12)

500

x² + 12x - 45

(x + 15) (x - 3)

Mixed

100

Simplify

√32

4√2

200

Identify the Polynomial:

4a² + 5a + a + 9

Trinomial

300

a⁵b⁸

______

ab³

a⁴b⁵

400

Arrange the terms of each polynomial so that the powers of x are in ascending order.

7x² + 2x⁴ - 11

-11 + 7x² + 2x⁴

500

What is the degree of the polynomial?

-2xy²z³

6

Factor Monomials & Binomials

100

Factor the Monomial

12a²b³

2  2  3  a  a  b  b  b.

200

Find the GCF of the Monomials

36x²y and 54xy²z

2 x 3 x 3 x X x Y or 18xy

300

Factor the Binomial

12a² + 16a

4a( 3a + 4)

400

Name the property show below:

(d  + 5)(3d + 4) = 0

Zero Product Property