Systems of Equations

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Tags

CCSS.8.EE.C.8B

Front

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

Back

The equations represent parallel lines that never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if a system of equations has exactly one solution?

Back

The equations represent intersecting lines, which cross at one point.

Tags

CCSS.8.EE.C.8A

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations: 2y + x = -15, x = 3y.

Back

(-9, -3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system of equations: y = 4x + 1, 3x + 2y = 13.

Back

(1, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the graphical representation of a system of equations?

Back

It is represented by lines on a coordinate plane.

Tags

CCSS.8.EE.C.8A

Front

What is the first step in solving a system of equations using substitution?

Back

Solve one of the equations for one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does the term 'consistent' mean in relation to systems of equations?

Back

A system is consistent if it has at least one solution.

Tags

CCSS.8.EE.C.8B