Linear Equations and Inequalities - Extra Practice

Front

Solve: 2(2x + 3) = -6(x + 9)

Back

x = -6

Front

Find the x and y intercepts of the equation 5x - 3y = 15

Back

x intercept is 3, y intercept is -5

Front

Change the following equation to slope-intercept form: 5x - 5y = 25

Back

y = x - 5

Front

Which point below is part of the solution set for the equation 5x - 3y = 15? (5, -5), (4, -3), (3, 5), (0, -2)

Back

(3, 5) is part of the solution set.

Front

Is (-1, 0) a solution to the inequality 5x - 3y < 15?

Back

No, (-1, 0) is not a solution.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

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

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.