Linear Review

Front

What are all of the x values or inputs in a function called?

Back

Domain

Front

What are all of the y values or outputs in a function called?

Back

Range

Front

Let w(x) = 3x - 7. If w(x) = 14, find x.

Back

7

Front

Determine the slope and y-intercept from the equation: y = 3/2x + 3.

Back

slope: 3/2, y-intercept: (0,3)

Front

What is the explicit formula for the n-th term of the arithmetic sequence 2, 9, 16, 23, ...?

Back

a_n = 7n - 5

Front

What is the definition of a function?

Back

A relation where each input has exactly one output.

Front

What is the formula for the slope of a line?

Back

slope (m) = (y2 - y1) / (x2 - x1) for two points (x1, y1) and (x2, y2).

Front

What does the y-intercept represent in a linear equation?

Back

The point where the line crosses the y-axis (x=0).

Front

What is an arithmetic sequence?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the n-th term of an arithmetic sequence?

Back

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.