Unit 4: Systems of Linear Equations

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

Front

What does it mean to solve a system of equations by graphing?

Back

It means to plot the equations on a graph and find the point(s) where they intersect.

Front

What is the solution of the system: y = 2x + 2 and y = x?

Back

(-2, -2)

Front

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

Back

Set y = 0 and solve for x.

Front

What is the slope-intercept form of a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The rate of change of y with respect to x.

Front

What is the y-intercept of the equation y = 2.5x - 2?

Back

-2, the point where the line crosses the y-axis.

Front

What does the inequality y ≤ 2.5x - 2 represent on a graph?

Back

The region below or on the line y = 2.5x - 2.

Front

How do you determine if a point is a solution to a system of equations?

Back

Substitute the point into both equations; if both are true, it's a solution.

Front

What does the dashed line in an inequality graph indicate?

Back

That the points on the line are not included in the solution set.