Substitution and Elimination Practice

Front

What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and then substituting 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

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system using substitution: y = -1x - 5, 4x - 8y = 4

Back

(-3, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Which method is best for solving the system: 3x - 4y = -2, y = 2x + 1?

Back

Substitution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Find x and y using elimination: 2x + 3y = 7, 2x + 7y = 11

Back

x = 2, y = 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Which variable will be eliminated in the equation 2x + 3y = 7 and 2x + 7y = 11?

Back

x

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system using elimination: 2x + 3y = -2, 3x - 2y = 23

Back

(5, -4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a system of equations?

Back

A system of equations is 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 have infinite solutions in a system of equations?

Back

Infinite solutions occur when the equations represent the same line, meaning there are countless points that satisfy both equations.

Tags

CCSS.8.EE.C.8B

Front

What is the first step in the substitution method?

Back

Isolate one variable in one of the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6