Hess- Pre-Test--Solving Systems of Equations

Front

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 to solve a system of equations?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the substitution method?

Back

A method for solving systems of equations 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?

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

When is the substitution method preferred?

Back

When one equation is easily solvable for one variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

When is the elimination method preferred?

Back

When the equations are in standard form and can be easily manipulated to eliminate a variable.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for two equations to be in standard form?

Back

An equation is in standard form if it is written as Ax + By = C, where A, B, and C are integers.

Front

How do you determine which variable to eliminate?

Back

Look for the variable that can be easily eliminated by adding or subtracting the equations.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the first step in the elimination method?

Back

Align the equations and manipulate them to have the same coefficient for one of the variables.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is a solution to a system of equations?

Back

A pair of values (x, y) that makes all equations in the system true.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6