PHS Algebra 2 Review of Algebra 1

Like Terms

100

3c + 5 + c

4c + 5

200

7s - 8 - 10s

-3s - 8

300

20m + 14 - 12 - 18m

2m + 2

400

(5/4)y - (12/7) - (2/3)y + (15/14)

(7/12)y - (9/14)

500

12x + 19 - (7/8)x - (3/10) - 3y

(89/8)x - 3y + (187/10)

Multiplying Polynomials

100

r(2r-3)

2r² - 3r

200

4x(x + y + 2)

4x² + 4xy + 8x

300

(k + 3)(k - 12)

k² - 9k - 36

400

(2v + 1)(3v - 7)

6v² - 11v - 7

500

w(3w + 2)(5w - 4)

15w³ - 2w² - 8w

Factoring Binomials

100

z² - 8z

z(z - 8)

200

2x² + 6x

2x(x + 3)

300

9a² - 108a

9a(a - 12)

400

14e² + 7e

7e(2e + 1)

500

45g² - 6g

3g(15g - 2)

Factoring Trinomials

100

h² + 3h + 2

(h + 3)(h + 1)

200

n² - 7n + 10

(n - 5)(n - 2)

300

b² + 5b - 24

(b + 8)(b - 3)

400

2u² + 11u + 12

(2u + 3)(u + 4)

500

15o² + 2o - 8

(3o - 2)(5o + 4)

Evaluating Functions

100

f(x) = 2x - 5, find f(3)

f(3) = 1

200

k(x) = 7 - 3x, find k(8)

k(8) = -17

300

z(x) = 18 + 4x, f(?) = -22

x = -10

400

c(x) = x² - 7x + 10,  find f(2). What does f(2) represent?

f(2) = 0, this represents the x-intercept

500

q(x) = x² - 7, q(?) = 18

x = 5, x = -5