IXL - Graph solutions to absolute value equations (Algebra 1 practice)

Solve for

and graph the solution.

–

Click to select points on the number line.

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Learn with an example

question

Solve for

and graph the solution.

Click to select points on the number line.

key idea

the solution for

is either

–

the solution for

which is

solution

Look at the equation.

Since

can be either positive or negative, split the equation into two cases.

First, solve the positive case.

–

Subtract 6 from both sides

Next, solve the negative case.

–

(

)

Apply the distributive property

–

Apply the distributive property

Add 6 to both sides

–

Add 6 to both sides

–

Multiply both sides by

–

Multiply both sides by

–

The solution is

–

Plot these points on the number line.

Looking for more? Try these:

Lesson: Absolute value equations

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Teacher tools

Work it out

Not feeling ready yet? These can help:

H.1Solve absolute value equations

A.2Integers on number lines

Lesson: Absolute value equations

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