Systems of Equations

Front

What does the graph of a system of equations with no solution look like?

Back

The graph consists of parallel lines.

Tags

CCSS.8.EE.C.8A

Front

What is the solution to the system of equations 3x + 2y = 16 and 7x + y = 19?

Back

(2, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What system of equations represents David's concession stand sales if nachos cost $1.50 each and sodas cost $0.50 each, with a total of $78.50 made and 87 items sold?

Back

1.5x + 0.5y = 78.5 and x + y = 87

Tags

CCSS.HSA.CED.A.3

Front

What system of equations represents Alexandra's haircuts and hair dyes if 3 haircuts and 2 hair dyes take 315 minutes and 2 haircuts and 4 hair dyes take 450 minutes?

Back

3x + 2y = 315 and 2x + 4y = 450

Tags

CCSS.HSA.CED.A.3

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 for a system of equations to be consistent?

Back

It has at least one solution.

Tags

CCSS.8.EE.C.8B

Front

What does it mean for a system of equations to be inconsistent?

Back

It has no solutions.

Tags

CCSS.8.EE.C.8B

Front

What is the graphical representation of a consistent system with exactly one solution?

Back

The lines intersect at a single 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

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6