Solve Absolute Value Equations

Front

What is the definition of absolute value?

Back

The distance of a number from zero.

Front

Solve for x: |x - 4| = 3

Back

x = 7 and x = 1

Front

Solve for x: |2x + 1| = 5

Back

x = 2 and x = -3

Front

What does the equation |a| = b imply?

Back

a = b or a = -b, where b is non-negative.

Front

Solve for x: |3x - 6| = 0

Back

x = 2

Front

Solve for x: |x + 2| = 4

Back

x = 2 and x = -6

Front

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

Back

Isolate the absolute value expression.

Front

Solve for x: |x| = 10

Back

x = 10 and x = -10

Front

What is the solution set for |x| < 3?

Back

-3 < x < 3

Front

Solve for x: |x - 1| + 3 = 5

Back

x = 3 and x = -1