Systems and Inequality Test Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

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, which represents the solution(s).

Front

What is the solution to the system of equations y = 1/2x + 2 and y = -3x + 9?

Back

(2, 3)

Front

What is an inequality?

Back

A mathematical statement that compares two expressions using symbols like <, >, ≤, or ≥.

Front

What does it mean if a system of equations has no solution?

Back

It means that the lines represented by the equations are parallel and never intersect.

Front

What is the graphical representation of the inequality y < 2x + 3?

Back

A shaded region below the line y = 2x + 3.

Front

How do you determine if a system of inequalities has a solution?

Back

By graphing the inequalities and finding the overlapping shaded region.

Front

What is the solution to the system of equations y = -1x - 5 and 4x - 8y = 4?

Back

(-3, -2)

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, and every point on the line is a solution.

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.