Math 4 Exam Review #1 Units 1 - 3

Front

f(x) = 2x - 5; g(x) = -4x - 2; Find f(g(-2))

Back

7

Front

Solve: 9^(8-x) = 27^(x-3)

Back

5

Front

Simplify: 2log(x) + 3log(xy)

Back

log(x^5y^3)

Front

Which equation below is a quadratic function translated up 5 units?

Back

y = x^2 + 5

Front

Solve the following equation: |2x + 9| = 15

Back

x = 3, x = -12

Front

Definition of a quadratic function

Back

A polynomial function of degree 2, generally expressed as f(x) = ax^2 + bx + c.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, given by the coordinates (h, k) in the vertex form y = a(x-h)^2 + k.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for the equation ax² + bx + c = 0.

Front

Definition of logarithm

Back

The logarithm log_b(a) is the exponent to which the base b must be raised to produce the number a.

Front

What is the product rule of logarithms?

Back

log_b(MN) = log_b(M) + log_b(N) for any positive numbers M and N.