Fun Review

Exponent Laws

100

Multiply: (2a²)(-3a)

What is -6a³ ?

200

Divide: 6ab/3ab²

What is 2/b ?

300

DAILY DOUBLE! Solve: 4^x-1=2^x+8

What is x=3 ?

400

Simplify: (2a³b⁴)⁴

What is 16a¹²b¹⁶ ?

500

Divide: (3ab³)/(9ab³)

What is 1/3 ?

Logarithm Laws

100

Write log1,000,000=6 in exponential form

What is 10⁶=1,000,000 ?

200

Solve log₃x+log₃(x-2)=1

What is 3 ?

300

Write as a single log: 1/2log16+2/3log8

What is log16 ?

400

Convert to a logarithm: 10⁴=10,000

What is log10,000=4 ?

500

10^4log3=?

What is 81 ?

Rational Functions

100

Subtract: (x/(x-4))-(6x/(x-5))

What is (-5x²+19x)/(x-4)(x-5) ?

200

Identify the x and y intercepts of the function: (a-4)/(2a-8)

What is (0,1/2) and (4,0) ?

300

Solve: (x²-4)/(x+3) + (x-2)/(x+3) = 2

What is x=4 ?

400

Solve and express in interval notation: -2(m-3) < 5(m+1)-12

What is (13/7,infinity) ?

500

What is the horizontal asymptote of the function: (2x-3)/(x-4)

What is y=2 ?

Poly Functions

100

Classify the polynomial by its degree: 3x²-2x⁴+x

What is quartic ?

200

If the graph starts down and then ends up, the degree is _____, and the leading coefficient is _____.

What is odd, positive ?

300

What are the roots of: 2x³+10x²+12x

What is 0, -2, -3 ?

400

Write the function with the roots -2, 3, 3

What is f(x)=(x+2)(x-3)² ?

500

Sketch a graph of the polynomial f(x)=(x-2)(x+3)(x+1)

(begin down and end going up with roots -3, -1, and 2)

Random

100

If the polynomial degree is even and the leading coefficient is negative, then the end behaviors...

What is both go down?

200

Simplify: (7ab²2c⁴)²

What is 49a²b⁴4c⁸ ?

300

Solve: ln(x²-8)=2

What is + or - the square root of e²+8 ?

400

Solve: (x²-4)/(x+3) + (x-2)/(x+3)

What is x=4 ?

500

Convert to a logarithm and solve for x: 2^x=1024

What is log₂1024=x , x=10 ?