Absolute Value Equations

Front

What is the definition of absolute value?

Back

The distance of a number from zero.

Front

Solve for x: |5x| = 40

Back

x = 8 and x = -8.

Front

Solve for x: |v + 8| - 5 = 2

Back

x = -1 and x = -15.

Front

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

Back

x = 5 and x = -3.5.

Front

What does the absolute value symbol represent?

Back

It represents the non-negative value of a number regardless of its sign.

Front

If |x| = a, what are the possible values of x?

Back

x = a and x = -a.

Front

Solve for x: |x - 2| = 3

Back

x = 5 and x = -1.

Front

What is the graphical representation of an absolute value function?

Back

A V-shaped graph that opens upwards.

Front

Solve for x: |2x + 1| = 4

Back

x = 1.5 and x = -2.5.

Front

What is the relationship between absolute value and distance?

Back

Absolute value measures the distance of a number from zero on the number line.