Semester 1 Final exam review Math 3

Front

Rewrite log₂8 = 3 in exponential form.

Back

2³ = 8

Front

Solve the system of equations: y = 4x + 1 and 3x + 2y = 13.

Back

(1, 5)

Front

Use the change of base formula to approximate log₁₀(100).

Back

log₁₀(100) = 2

Front

Find the mode of the following set: 12, 13, 12, 14, 15, 16, 12, 13, 15.

Back

12

Front

When finding the inverse of a relation, after replacing f(x) with y and switching x's and y's, what do you do next?

Back

Solve for y.

Front

What is the definition of a mode in statistics?

Back

The mode is the value that appears most frequently in a data set.

Front

What is the change of base formula for logarithms?

Back

logₐ(b) = logₓ(b) / logₓ(a) for any base x.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4

Front

What is the definition of a system of equations?

Back

A set of equations with the same variables.

Front

How do you find the inverse of a function?

Back

Replace f(x) with y, switch x and y, and solve for y.