Algebra
Solve for x in the following equation:
3x + 5 = 11
x = 2
What is the sum of the interior angles of a triangle?
180 degrees
What is the common 9 letter acronym for finding a missing angle or side?
SOH CAH TOA
What is the derivative of f(x) = x²?
What is the mean of 5, 7, 9, 11, 13, 15
10
Factor the following quadratic completely:
x² - 5x + 6
(x - 3)(x - 2)
Find the area of a circle with radius 5.
25π
What is sin(0), assuming the inside is degrees?
0
Evaluate ∫(x)dx.
x²/2
What is the probability of rolling a 3 on a fair six-sided die?
1/6
Simplify the following term:
4*[(2x²+4x)/(x)]
8x+16
A rectangle has a length of 8 and a diagonal of 10. What is its width?
6
What is the value of cos(π/2), assuming the inside is radians?
0
Find the slope of the tangent line to f(x) = x³ + 2x at x = 1.
y - 3 = 5(x - 1)
The mode is still 7.
Solve the following system:
2x + y = 5
x-y = 1
x = 2
y = 1
Solve for the missing side in a right triangle where the hypotenuse is 13 and one leg is 5.
12
Solve for θ in radians if sinθ = 0.5, in the interval 0 ≤ θ ≤ π/2.
θ = pi/6
Determine the critical points of f(x) = x³ - 6x² + 9x.
At x = 3 and x = 1.
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
How many real solutions exist in the following quadratic?
x² - 2x + 4
No real solutions
Find the area of a triangle with vertices at (0, 0), (6, 0), and (4, 5)
15
Find the exact value of cos(π/4)/sin(π/4).
1
Solve ∫(x² + x)dx from the lower and upper bounds of 0 to 1.
5/6
A dataset has the following values: [3, 5, 7, 9, 11].
Calculate the variance.
8