Absolute Value Equations Review

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

Solve for x: |x| = 5

Back

x = 5 or x = -5.

Front

What does it mean if an absolute value equation has no solution?

Back

It means that there are no values of the variable that can satisfy the equation.

Front

Solve for x: |x - 3| = 0

Back

x = 3.

Front

What is the first step in solving an absolute value equation?

Back

Isolate the absolute value expression on one side of the equation.

Front

Solve for x: |2x + 4| = 10

Back

x = 3 or x = -7.

Front

What is the solution to the equation |−2n| + 10 = −50?

Back

No Solution.

Front

Solve for x: 8|-2x + 4| = 96

Back

x = -4 or x = 8.

Front

What is the general form of an absolute value equation?

Back

|expression| = value.

Front

Solve for x: |x + 8| − 5 = 2

Back

x = -1 or x = -15.