Functions
If f(x) = 4x - 3, what is f(2)?
5
Simplify:(x + 1)(x + 4)
x² + 5x + 4
Factor completely: x² - x - 6
(x - 3)(x + 2)
What is cos(0°)?
1
Solve for x: 4x+7=19
3
If f(x) = x² - 2x and g(x) = x + 1, what is f(g(2))?
f(3) = 9 - 6 = 3
What is the degree of the polynomial: 3x⁴ - 7x² + 2?
4
Factor: x³ - 8
(x - 2)(x² + 2x + 4)
What is the sine of a 45° angle in simplest radical form?
√2 / 2
(x^2 - 4) / (x - 2)
x + 2(Note: Factor numerator as (x - 2)(x + 2))
f(x) = x² - 4x + 4. What is the value of f(2)?
0
Factor: x² + 7x + 10
(x + 2)(x + 5)
Divide: (x³ + 2x² - x - 2) ÷ (x + 1)
x² + x - 2
In a right triangle, if adjacent = 4 and hypotenuse = 5, find cos(θ).
4/5
Solve the system;
x + y = 10
x - y = 2
x = 6, y = 4
If f(x) = x² and g(x) = 2x - 1, find (f ∘ g)(1)
f(g(1)) = f(1) = 1
Expand and simplify: (2x + 3)(x - 1)
2x² + x - 3
If x³ - 6x² + 11x - 6 = 0, find one real root.
What is the exact value of tan(60°)?
√3
Simplify the expression: sqrt(72) + sqrt(8)
6√2 + 2√2 = 8√2
If f(x) = 1 / (x - 2), for what value of x is f(x) undefined?
If (x + a)(x + b) = x² + 9x + 20, what are a and b?
a = 4, b = 5
Find all real roots of: x³ - 2x² - 5x + 6 = 0
x = -1, 1, 6
If sin(θ) = 3/5 and θ is in the first quadrant, find cos(θ).
4/5
A quadratic equation has roots 5 and -2. Write the equation in standard form.
x^2 - 3x - 10 = 0