Solving Systems of Equations & Inequalities Test

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 for a system of equations to have an infinite number of solutions?

Back

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

Front

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

Back

Substitute the point's coordinates into each equation. If both equations are true, the point is a solution.

Front

What is the graphical representation of a system of inequalities?

Back

It is represented by shaded regions on a graph, indicating where the solutions to the inequalities lie.

Front

What does the symbol '>' indicate in an inequality?

Back

It indicates that the value on the left is greater than the value on the right.

Front

What is the solution to the system: y = -6x + 5 and -2x + y = 5?

Back

(0, 5)

Front

What is the solution to the system: -4x - 4y = 0 and 4x + 4y = 0?

Back

Infinite number of solutions.

Front

What does it mean for a system of inequalities to be consistent?

Back

It means that there is at least one solution that satisfies all inequalities in the system.

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

How do you graph a linear equation?

Back

Find the y-intercept, plot it on the graph, then use the slope to find another point.