Algebra
Geometry
Trigonometry
Calculus
Statistics
100

Solve for x in the following equation:
3x + 5 = 11

x = 2

100

What is the sum of the interior angles of a triangle?

180 degrees

100

What is the common 9 letter acronym for finding a missing angle or side?

SOH CAH TOA

100

What is the derivative of f(x) = x²?

f'(x) = 2x
100

What is the mean of 5, 7, 9, 11, 13, 15

10

200

Factor the following quadratic completely:

x² - 5x + 6

(x - 3)(x - 2)

200

Find the area of a circle with radius 5.

25π

200

What is sin(0), assuming the inside is degrees?

0

200

Evaluate ∫(x)dx.

x²/2

200

What is the probability of rolling a 3 on a fair six-sided die?

1/6

300

Simplify the following term:

4*[(2x²+4x)/(x)]

8x+16

300

A rectangle has a length of 8 and a diagonal of 10. What is its width?

6

300

What is the value of cos(π/2), assuming the inside is radians?

0

300

Find the slope of the tangent line to f(x) = x³ + 2x  at x = 1.

y - 3 = 5(x - 1)

300
If the mode of a data set is 7 and the data set is [4, 7, 7, 10], then what is the mode after adding the number 8?

The mode is still 7.

400

Solve the following system:

2x + y = 5

x-y = 1

x = 2

y = 1

400

Solve for the missing side in a right triangle where the hypotenuse is 13 and one leg is 5.

12

400

Solve for θ in radians if sinθ = 0.5, in the interval 0 ≤ θ ≤ π/2.

θ = pi/6

400

Determine the critical points of f(x) = x³ - 6x² + 9x.

At x = 3 and x = 1.

400

A box contains 5 red, 3 blue, and 2 green marbles. If two marbles are drawn at random without replacement, what is the probability that both marbles are red?

2/9

500

How many real solutions exist in the following quadratic?
x² - 2x + 4 

No real solutions

500

Find the area of a triangle with vertices at (0, 0), (6, 0), and (4, 5)

15

500

Find the exact value of cos(π/4)/sin(π/4).

1

500

Solve ∫(x² + x)dx from the lower and upper bounds of 0 to 1.

5/6

500

A dataset has the following values: [3, 5, 7, 9, 11].

Calculate the variance.

8

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