Arithmetic & Fractions
What is 5/6 - 1/4?
7/12
Solve for x: 4x - 9 = 15
x = 6
Expand (x - 4)(x + 7)
x^2 + 3x - 28
Simplify: (x^5) / (x^2)
x^3
If f(x) = 3x - 2, find f(5).
13
Evaluate 24 / 2^3 + 5 * (6 - 4)
13
Find the slope of the line passing through (2, 3) and (6, 11)
2
Factor completely: 4x^2 - 25
(2x - 5)(2x + 5)
Simplify: (2x^3)^3
8x^9
Solve for x: log_3(x) = 3
27
Convert 0.625 into a simplified fraction.
5/8
Solve the inequality: 5 - 3x <= 14
x >= -3
Factor completely: x^2 - 8x + 15
(x - 3)(x - 5)
Simplify: sqrt(72)
6sqrt(2)
If f(x) = x + 4 and g(x) = x^2, find g(f(2)).
36
What is 35% of 180?
63
Find the x-intercept of 3x + 5y = 15
5 (or (5, 0))
What are the solutions to x^2 + 7x + 10 = 0?
x = -2, x = -5
Solve for x: 2^(2x + 1) = 32
x = 2
Find the domain of f(x) = sqrt(x + 3).
x >= -3
Solve for x: (x / 4) + 7 = 12
x = 20
Write the equation of the line perpendicular to y = 2x + 1 passing through (0, 3)
y = -1/2x + 3
Factor by grouping: x^3 - 2x^2 + 5x - 10
(x^2 + 5)(x - 2)
Simplify: (9x^4 * y^6)^(1/2)
3x^2 * y^3
Solve for x: log(x) + log(5) = 2
20