Solving Systems of Equations and Inequalities by Graphing Review

Front

What is a system of equations?

Back

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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 it satisfies all equations, it is a solution.

Front

What does it mean for a system of equations to have no solution?

Back

It means that the equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a solution to a system of inequalities?

Back

The solution is represented by the shaded region where the inequalities overlap on the graph.

Tags

CCSS.HSA.REI.D.12

Front

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

Back

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

Tags

CCSS.6.EE.B.8

Front

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

Back

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

Tags

CCSS.6.EE.B.8

Front

How do you graph the inequality y ≥ x - 3?

Back

Graph the line y = x - 3 as a solid line and shade the region above the line.

Tags

CCSS.HSA.REI.D.12

Front

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

Back

(3, 2) is the solution.

Tags

CCSS.HSA.REI.C.9

Front

What is the first step in solving a system of equations by graphing?

Back

Graph each equation on the same coordinate plane.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if two lines intersect at a point on a graph?

Back

It means that the system of equations has one unique solution at that point.

Tags

CCSS.8.EE.C.8A