Solving One Variable Linear Equations

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What is a linear equation in one variable?

Back

A linear equation in one variable is an equation that can be written in the form ax + b = 0, where a and b are constants and x is the variable.

Tags

CCSS.8.EE.C.7A

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you 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 to solve an equation?

Back

Solving an equation means finding the value of the variable that makes the equation true.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation -2 - 7m = 19?

Back

m = -3.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation 72 = 4k + 12?

Back

k = 15.

Tags

CCSS.7.EE.B.4A

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What is the solution to the equation 6x + 1 = 13?

Back

x = 2.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation -33 = 15h - 3?

Back

h = -2.

Tags

CCSS.7.EE.B.4A

Front

What is the solution to the equation 10z - 13 = -3?

Back

z = 1.

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the equation 4x + 8 = 24?

Back

Subtract 8 from both sides to get 4x = 16.

Tags

CCSS.7.EE.B.4A

Front

What is the importance of checking your solution in an equation?

Back

Checking your solution ensures that the value you found satisfies the original equation.

Tags

CCSS.8.EE.C.7B