Solving 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 to solve a system of equations?

Back

Finding 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 is the substitution method?

Back

A method for solving a system 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 addition (elimination) method?

Back

A method for solving a system of equations by adding or subtracting the equations to eliminate one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

How do you graph a system of equations?

Back

Plot each equation on the same graph and identify the point(s) where they intersect.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if two lines intersect at a point?

Back

The point of intersection represents the solution to the system of equations.

Tags

CCSS.8.EE.C.8B

Front

What does it mean if two lines are parallel?

Back

The system of equations has no solution because the lines never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean if two lines coincide?

Back

The system of equations has infinitely many solutions because the lines are the same.

Tags

CCSS.8.EE.C.8A

Front

How do you check the solution of a system of equations?

Back

Substitute the solution back into the original equations to verify that both equations are satisfied.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in the substitution method?

Back

Solve one of the equations for one variable in terms of the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6