Foundations Review

Front

Solve for x: 2(3x + 4) + 2 = 4 + 3x

Back

x = -2

Front

What is the x-intercept of the line?

Back

The x-intercept is the point where the line crosses the x-axis. For the line represented by the equation, the x-intercept is (-1, 0).

Front

Find the slope of the line.

Back

The slope of a line is a measure of its steepness. In this case, the slope is 1/2.

Front

Solve the equation for d: d / t = r

Back

d = rt

Front

What is the slope in the equation y=2x + 3?

Back

The slope is 2.

Front

What is the definition of slope?

Back

Slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Front

How do you find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 and solve for x.

Front

What does it mean for a line to have a negative slope?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the formula for the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.