Chapters 1-7 Review

Front

What is a function in mathematics?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Which of the following is a function? {(2, 3), (3, 4), (5, 1), (2, 4)} or {(2, 3), (3, 4), (6, 2), (7, 3)}?

Back

{(2, 3), (3, 4), (6, 2), (7, 3)} is a function because each x-value is unique.

Front

How can you determine if a relation is a function from a table?

Back

Check if any x-value appears more than once; if it does, it's not a function.

Front

Solve for x: x - 10 = -6x + 4

Back

x = -2.

Front

What is the value of 5 - 4x if 7x + 3 = 24?

Back

The value is -7.

Front

Which point is NOT part of the solution set: (0, 0), (-10, -10), (-1, 5), (5, 20)?

Back

(-10, -10) is NOT part of the solution set.

Front

What is the definition of a solution set?

Back

A solution set is the set of all values that satisfy a given equation.

Front

What does it mean for a relation to be one-to-one?

Back

A one-to-one relation means that each output is paired with exactly one input.

Front

What is the slope of a line?

Back

The slope is a measure of the steepness of a line, calculated as the rise over run.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.