Solving Absolute Value Equations

Front

What is the definition of absolute value?

Back

The distance of a number from zero on the number line.

Front

Evaluate the expression: |-3| + |4|

Back

7

Front

Solve the equation: |x - 4| = 5

Back

x = 9 or x = -1

Front

What does the equation |x| = a imply?

Back

x = a or x = -a, where a is a non-negative number.

Front

Evaluate the expression: |7| - |-2|

Back

5

Front

Solve the equation: |2x + 3| = 7

Back

x = 2 or x = -5

Front

What is the solution set for the equation |x| = -3?

Back

No Solution, since absolute value cannot be negative.

Front

If |x + 1| = 4, what are the possible values of x?

Back

x = 3 or x = -5

Front

Evaluate the expression: |-8| + |3| - |5|

Back

6

Front

Solve the equation: -|x - 2| = -3

Back

x = 5 or x = -1