UNIT 5 - Systems of Equations and Inequalities

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

What does it mean for two lines to be coinciding?

Back

It means the lines lie on top of each other, resulting in infinitely many solutions.

Tags

CCSS.8.EE.C.8A

Front

What is the graphical representation of a system of equations?

Back

The points where the lines intersect represent the solutions to the system.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to a system of equations?

Back

The values of the variables that satisfy all equations in the system.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

The lines are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is an inequality?

Back

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

Tags

CCSS.6.EE.B.8

Front

How do you graph a linear inequality?

Back

Graph the corresponding equation as a line, then shade the appropriate region based on the inequality.

Tags

CCSS.HSA.REI.D.12

Front

What does the term 'slope' refer to in a linear equation?

Back

The slope is the ratio of the rise (change in y) to the run (change in x) between two points on a line.

Tags

CCSS.8.EE.B.5