Systems of Equations

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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 a system of equations to have one solution?

Back

It means that the equations intersect at exactly one point on a graph.

Tags

CCSS.8.EE.C.8A

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 does it mean for a system of equations to have infinitely many solutions?

Back

It means that the equations represent the same line, so every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

Front

What is the substitution method?

Back

A method for solving systems of equations by solving one equation for one variable and substituting that expression into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method?

Back

A method for solving systems of equations by adding or subtracting equations to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is graphing in the context of systems of equations?

Back

A method of solving systems by plotting the equations on a graph and identifying the point(s) of intersection.

Tags

CCSS.8.EE.C.8B

Front

What is the y-coordinate of the solution to the system: x - 2y = 1 and x + 4y = 7?

Back

1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Which of the following is not a method for solving systems of equations: Elimination, Substitution, Estimation, Graphing?

Back

Estimation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system: 2x + 3y = 6 and x - y = 1?

Back

(3, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6