MA153 Exam 2 Review

Factoring

100

6x² + 12x

6x(x + 2)

200

x² + 7x + 12

(x + 3)(x + 4)

300

x³ + 4x² + 3x + 12

(x + 4)(x² + 3)

400

6x² + 13x + 6

(3x + 2)(2x + 3)

500

12x³ - 20x² - 3x + 5

(3x - 5)(2x - 1)(2x + 1)

Rational Expressions Part 1

100

(x² - 9)/(x + 3)

(x-3), x is not equal to -3

200

(x² - 16)/(x² + 5x + 4)

(x - 4)/(x + 1)

300

(x² - 9)/(x² - 4) · (x + 2)/(x + 3)

(x + 2)/(x - 2)

400

(x² - 4)/(x² - 9) · (x² - 3x)/(x + 2)

x

500

(x² - 9x + 20)/(x² - 16)

(x - 5)/(x + 4)

Complex Fractions

100

(1/x)/(2/x)

1/2

200

(1/x + 1)/(1/x)

x + 1

300

(1/x + 1/2)/(1/x)

(x + 2)/2

400

(1/(x + 1) + 1/(x - 1))/(2/(x² - 1))

x

500

[(2/(x - 1)) + (3/(x + 1))] / [5/(x² - 1)]

(5x + 1)/5

Rational Expressions Part 2

100

3/x + 2/x

5/x

200

(x² - 9)/(x + 2) ÷ (x - 3)/(x + 2)

x + 3

300

2/(x + 1) + 3/(x + 1)

5/(x + 1)

400

4/(x - 3) - 1/(x + 3)

(3x + 15)/(x² - 9)

500

x/(x² - 4) - 2/(x + 2)

-1/(x + 2)

Linear Equations/Formulas

100

3x + 5 = 20

x = 5

200

4x - 3 = 2x + 9

x = 6

300

3(x + 4) - 5 = 2x + 9

x = 2

400

Solve for r:

C = 2πr

r = C/(2π)

500

Solve for r:

A = P + Prt

r = (A - P)/(Pt)