Algebra II

Y becomes X& X becomes Y

100

Find f^-1(x) if: 

f(x) = x+7

 f^-1(x) = x-7

200

Find f^-1(x) if:

f(x) = 4x-3

f^-1(x) = (x+3)/4

300

Find f^-1(x) if: 

f(x) = (x-5)/6

f^-1(x) = 6x+5

400

Find f^-1(x) if: 

f(x) = (x-5)²

f^-1(x) = (Square root of x)+5

500

Find f^-1(x) if: 

f(x) = (5x-3)/(2x+1)

f^-1(x) = (x+3)/(5-2x)

Name that Formula

100

y = mx + b

Slope-Intercept Form

200

A = P(1+r/n)^nt

Compound Interest Formula

300

-b/2a

Axis of Symmetry

400

x-𝜇/𝜎

Z Score

500

a³+b³=(a+b)(a²-ab+b²)

Sum of Two Cubes (Factoring)

Roughy Toughy

100

Solve for x:
log₃(2x-1) = 4

x = 41

200

For which value(s) of x is the expression 

(x+5)/(x-2)(x+1) undefined?

A. X = -5

B. X = -1, 2

C. X = 5

D. X = Never undefined

B. X = -1, 2

300

The polynomial

4x³-20x²-12x-30

can be written as

(2x-6)(2x³+ax+b)

What is value of a?

A. -6

B. -4

C. -2

D. 1

B. -4

400

f(x) = (3x+5)/(2x-1)

Fine the inverse function f^-1(x).

f^-1(x) = (x+5)/(2x-3)

500

For what interval(s) of real numbers is

(x+2)/(x-4) > 0?

A. (-2,4)

B. (-∞, -2) ∪ (4, ∞)

C. (-∞, 4)

D. (-2, ∞)

B. (-∞, -2) ∪ (4, ∞)

Factor it out

100

x²+7x+10

(x+5)(x+2)

200

6x²-13x+6

(3x-2)(2x-3)

300

4x³-12x

4x(x²-3)

400

x³+3x²+3x+7

Non-Factorable

500

2x³+5x²-3x

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

Over overUnder under

100

Expand: (x+4)(x+2)

x²+6x+8

200

Expand: (3x-2)(x²+4x+1)

3x³+10x²-5x-2

300

Expand Completely: (x+5)(x-5)(x+1)

x³+x²-25x-25

400

(x²+3x-4)²

x⁴+6x³+x²-24x+16

500

(2x²+x-1)(x³-x²+3x-4)

2x⁵-x⁴+4x³-4x²-7x+4