Multi- Step Equations

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What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

Tags

CCSS.8.EE.C.7B

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Tags

CCSS.6.EE.B.7

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What does it mean if an equation has no solution?

Back

An equation has no solution if there are no values that can be substituted for the variable to make the equation true.

Tags

CCSS.8.EE.C.7A

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions if any value for the variable satisfies the equation, often resulting from equivalent expressions.

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: 3(6x + 3) - 9x = 909

Back

x = 100

Tags

CCSS.8.EE.C.7B

Front

Solve the equation: 3x - 4 = 2x + 10 + x

Back

No solution

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: -4x - x + 8 = 48

Back

x = -8

Tags

CCSS.7.EE.B.4A

Front

Solve the equation: -2m - 3m + 3 = -5m + 3

Back

Infinitely many solutions

Tags

CCSS.8.EE.C.7A

Front

Solve the equation: -3(3x - 4) = -9x + 12

Back

Infinitely many solutions

Tags

CCSS.8.EE.C.7A

Front

What is the first step in solving a multi-step equation?

Back

The first step is to simplify both sides of the equation, if possible, by distributing and combining like terms.

Tags

CCSS.8.EE.C.7B