Algebra 2 Unit Review

Exponents, Equations, Functions

100

Solve the absolute value equation:

|3x+2| = 5

x=5/3 , x=-3

200

f(x) = 10 - x² , g(x) = 2x - 9

Find g(f(2))

g(f(2)) = 3

300

Find the x and y intercepts:

y = x² - x - 12

x int. : (-3,0),(4,0)

y int. : (0,-12)

400

Solve the equation:

2x/6 + x/2 = (8x+2)/12

x=1

500

(x²)^-3y⁶z^-4 / x⁷y^-3z^-3(x^-2y)³z⁰

y⁶ / x⁷z

Domain/Range, Systems, Rational Expressions

100

Find the excluded values:

(x+5)(x-2) / x(x-4)(x+5)

x cannot equal 0 or 4

200

Solve the system of equations:

x+y=6

3y-3x=6

x=2 , y=4

300

Solve the system of equations:

y = x² - 2x + 1

y = 4x + 4

x = -1 , y = 0

400

Find the domain and range:

y = (x+2)^1/2 - 6

Domain: [-2,infinity)

Range: [-6,infinity)

500

Add and find the excluded values:

3/(x-0.75) + 2/(4x-3)

x cannot equal 2

Transformations, Polynomials

100

What is the parent function of this expression?

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

y = 1/x

200

Factor:

x² + 3x - 4

(x+4)(x-1)

300

Describe the transformations made to the parent function in the expression:

3y = 0.5(x-2)²

Horizontal shift 2 to the right, vertical stretch by a factor of 6

400

Factor:

2x² + 7x +3

(2x+1)(x+3)

500

Write the parent function AND describe the transformations in the expression:

0.5y = 2|x-3| + 4

y = |x|

horizontal compression by a factor of 0.25, shift to the right 3, shift up 4

Imaginary #s, Inverses

100

What is the square root of -9?

3i

200

Find the inverse of the function:

y = (1/2)x + 7

y = 2x - 14

300

(-i)(2i)(3i)

6i

400

Find the inverse of the function:

y = (x-2)³ + 1

y = (x-1)^1/3 + 2

500

i⁹⁹

-i

Logs, Trig

100

cos(theta) = ?

Adjacent / Hypotenuse

200

Condense into a single log:

3 x log2

log2³ = log8

300

Convert 8pi/5 to degrees

288 degrees

400

Expand the log expression:

log₃(x²(y))

2log₃x + log₃y

500

Who makes up the METDOAT

(Most Elite Teaching Duo Of All Time)

Miss Dyckmann and Mr. Ernst