Absolute Value Equations

Front

Solve for x: |5x| = 40

Back

x = 8 and x = -8

Front

Solve for x: |4x - 3| = 17

Back

x = 5 and x = -3.5

Front

Solve for x: |8 - 4x| = 16

Back

x = -2 and x = 6

Front

What is absolute value?

Back

The distance of a number from zero on the number line, always non-negative.

Front

Why is absolute value always written as a positive?

Back

Absolute value is talking about distance; distance is always measured by positive numbers.

Front

Solve for x: |x + 3| = 7

Back

x = 4 and x = -10

Front

Solve for x: |2x - 5| = 3

Back

x = 4 and x = 1

Front

What does the equation |x| = a imply?

Back

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

Front

Solve for x: |x - 1| = 0

Back

x = 1

Front

What is the graphical representation of |x|?

Back

A V-shaped graph that opens upwards, intersecting the y-axis at (0,0).