RATIONAL BASICS
RATIONAL OPERATIONS
POLYNOMIAL DIVISION
TRIGONOMETRY
STATISTICS
100

What are the excluded values for the expression (x+2)/(x-5)?

What is x = 5?

100

Add: {2}/{x} + {3}/{x}

What is {5}/{x}?

100

What is the quotient when you divide (x^2 + 5x + 6) by (x + 2)?

What is x + 3?

100

In a right triangle, if the opposite side is 3 and the hypotenuse is 5, what is sin θ?

What is {3}/{5}?

100

What is the mean of the data set: 2, 4, 6, 8, 10?

What is 6?

200

Simplify: {6x^2}/{9x}

What is {2x}/{3}?

200

Multiply: {x}/{3} * {6}/{x}

What is 2?

200

Divide: (4x^2 - 8x) / (2x)


What is 2x - 4?

200

If cos A = {4}/{5} in a right triangle, what is the adjacent side when the hypotenuse is 10?

What is 8?

200

What is the median of: 1, 3, 5, 7, 9, 11?

What is 6?

300

Find all excluded values for {x + 1}/{x^2 - 4}

What are x = 2 and x = -2?

300

Solve: {x}/{4} = {3}/{2}

What is x = 6?

300

Use long division to divide x^3 - 2x^2 + x - 2 by (x - 2)

What is x^2 + 1?

300

In triangle ABC, if A = 60°, B = 45°, what is angle C?  

What is 75°?

300

What is the range of the data set: 12, 15, 18, 22, 25, 30?

What is 18?

400

Simplify: {x^2 - 9}/{x + 3}

What is x - 3?

400

Divide: {x^2}/{5}  / {x}/{10}

What is 2x?

400

What is the remainder when x^3 + 2x^2 - x + 1 is divided by (x + 1)?

What is 3?

400

If sin θ = {7}/{25}, what is cos θ?

What is {24}/{25}?

400

What is the standard deviation of the data set: 5, 21, 49, 20, 18?

What is 22.6?

500

Find the excluded values for {2x - 1}/{x^2 + x - 6}

What are x = 2 and x = -3?

500

Solve: {2}/{x-1} + {1}/{x+1} = {5}/{x^2-1}

What is x = 2?

500

Divide using long division: (2x^3 - 3x^2 + 4x - 5) / (x - 1)

What is 2x^2 - x + 3 + {-2}/{x-1}?

500

In triangle ABC, if a = 6, b = 8, and C = 90°, find side c using the Pythagorean theorem.

What is 10?

500

For the data set 103, 121, 143, 167, 189, what is the standard deviation? (Round to nearest tenth)

What is 34.5?

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