Pre-Calculus Q2

EQUATIONS

100

x/5=-5/5

x=-5

200

21-x=x+5

x=8

300

5x² - 7x = 48x

x=11

400

10x + x + 4^x = 1296^1/2 + x

x=2

500

2+11+12-15-30+40+3-6+10-5+15-1/2=x

x=36.5

INEQUALITIES

100

x + 7 < 15

x < 8

200

7 – x < 9

x > –2

300

12 > 18 – y

y > 6

400

2/3p + 4 > 10

p > 9

500

2(8 – p) ≤ 3(p + 7)

p ≥ –1

FUNCTIONS OPERATIONS

100

f(x) = 5x² + 3x -1

g(x) = -2x² - 6x + 4

f(x) + g(x)

3x² - 3x -3

200

f(x) = 4 - 2x

g(x) = -6 + 7x

g(x) - f(x)

-10 + 9x

9x - 10

300

f(x) = 3x-5

f(x) = 8x² + 4x -2

f(x) * g(x)

24x³ - 28x² - 26x +10

400

g(x) = 88x + 35

f(x) = 4x + 5

g(x) / f(x)

22x + 7

500

f(x) = 2x - 3

g(x) = 4x +2

f(g(3))

25

DOMAIN

100

Find the domain

2x²+5x+6

All real numbers

200

Find the domain

square root{5x+6}

x≥-6/5

[-6/5 , infinity)

300

1/square root {7x - 1}

x>1/7

(1/7 , infinity)

400

1/x² + 3x + 2

(-infinity, -2) U (-2,-1) U (-1, infinity)

500

square root {6x+6}/square root {x-7}

x>7

(7, infinity)

FACTORING

100

s² - 3s

s(s-3)

200

w² + 8w + 12

(w + 2) (w + 6)

300

35x² - 189x + 70

7 (5x - 2) (x - 5)

400

60s² - 20s - 165

5 (2s + 3) (6s - 11)

500

180s² - 138s - 546

6 (5s + 7) (6s - 13)