Polynomial Functions
Rational Functions
Exponential Functions
Logarithmic Functions
Trigonometric Functions
100

Factor f(x)=x^2 - 5x + 6

What is f(x)=(x-2)(x-3)

100

Determine if this problem has a hole: f(x) = (x-1)(x-5)/(x-5)(x+2)

What is there is a hole at x=5

100

Determine if concave up or down: f(x) = 3(4)^x

What is concave up

100

Solve this log function: log2(32)

What is 5

100

Evaluate this equation: sin(30 degrees)

What is 0.5

200

Factor g(x)=x^2 + 3x - 4

What is g(x) = (x+4)(x-1)

200

Simplify this rational function: f(x) =(6x^2 + 12x)/3x

What is 2x-4

200

What is the left limit behavior of this equation: g(x) = 5(2/3)^x

What is lim x -> -infinity = infinity 

200

Solve this log function: log100

What is 2

200

Evaluate: cos^-1(1/2)

What is pi/3

300

Factor x^2 + 2x -15

What is (x-3)(x+5)

300

Solve (2/x-3) > 0

What is x>3

300

If a colony of bacteria double every hour and you start with 250, how many are there after 8 hours?

What is 64,000 bacteria

300

Evaluate the following expression: log2(10)

What is 3.3219

300

Evaluate: tan^-1(1)

What is pi/4
400

Factor x^3 - 2x^2 + 5x + 8

What is (x+1)(x^2 - 3x + 8)

400

Solve 4x+8/x+5 <= 0

What is -5 < x <= -2

400

Determine the transformation of this equation: f(x) = 9^x/2

What is horizontal dilation by a factor of two

400

Evaluate the following expression: log7(135)

What is 2.5208

400

Solve: sin^-1(x)=cos^-1(0)

What is x=1

500

Factor 8x^3 - 27

What is (2x-3)(4x^2 + 6x + 9)

500

Solve ((x-1)(x+2)^2)/x-2 >= 0

What is x <= 1 or x>2

500

Find the equivalent form of this exponential function: y = 9*4^x

What is f(x) = 9 * 16^(x/2)

500

Solve without using a calculator: log6(sqrt of 6)

What is 0.5

500

Solve: 2sin^-1(x) = cos^-1(-1/2)

What is x equals the square root of 3 over 2

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