Systems of Equations-Substitution Method

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 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

How do you isolate a variable in an equation?

Back

By performing inverse operations to get the variable alone on one side of the equation.

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CCSS.7.EE.B.4A

Front

Solve for y in the equation: 4x + 1 = y.

Back

y = 4x + 1.

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CCSS.6.EE.C.9

Front

If y = 2x + 3, what is the value of y when x = 2?

Back

y = 2(2) + 3 = 7.

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CCSS.HSF.IF.A.2

Front

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

Back

It means that the system of equations has a unique solution at that point.

Tags

CCSS.8.EE.C.8A

Front

What is the first step in using 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

Front

Given the equations y = 3x + 1 and y = 2x + 4, how do you find the solution?

Back

Set 3x + 1 = 2x + 4 and solve for x.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the solution to the system of equations: 2x + 3 = y and 3x + y = 12?

Back

(3, 9).

Tags

CCSS.HSA.REI.C.9

Front

What does it mean if a system of equations has no solution?

Back

The lines representing the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A