Absolute Value Equations

Front

What is the definition of absolute value?

Back

The distance of a number from zero.

Front

Solve for x: |x - 5| = 3.

Back

x = 8 or x = 2.

Front

Solve for x: |2x + 1| = 7.

Back

x = 3 or x = -4.

Front

What does the equation |x| = a represent when a > 0?

Back

Two solutions: x = a and x = -a.

Front

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

Back

x = 6 or x = -14.

Front

What is the absolute value of -7?

Back

7.

Front

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

Back

x = 2 or x = -4/3.

Front

What is the solution set for |x| = 0?

Back

x = 0.

Front

Solve for x: |x + 2| - 3 = 1.

Back

x = 2 or x = -6.

Front

What is the absolute value of 0?

Back

0.