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.

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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).

Tags

CCSS.8.EE.C.8B

Front

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

Back

(2, 3)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

Front

What is an inequality?

Back

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

Tags

CCSS.6.EE.B.8

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.

Tags

CCSS.8.EE.C.8A

Front

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

Back

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

Tags

CCSS.HSA.REI.D.12

Front

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

Back

By graphing the inequalities and finding the overlapping shaded region.

Tags

CCSS.HSA.REI.D.12

Front

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

Back

(-3, -2)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

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.

Tags

CCSS.8.EE.C.8A

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.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6