3A-Solving Absolute Value Equations

Front

What is the definition of absolute value?

Back

The distance of a number from zero.

Front

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

Back

x = 5 and x = -3.5

Front

If |2x + 1| = 5, what is the solution set?

Back

(2, -3)

Front

Solve the equation |x - 3| + 4 = 7

Back

x = 6 and x = 0

Front

Solve the equation |x - 4| = 2

Back

x = 6 and x = 2

Front

What does the equation |x| = a represent?

Back

Two equations: x = a and x = -a, where a ≥ 0.

Front

How do you isolate the absolute value in an equation?

Back

Move all other terms to the opposite side of the equation.

Front

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

Back

Set up two separate equations based on the definition of absolute value.

Front

What is the solution to |x + 5| = 0?

Back

x = -5.

Front

If |x| = -a, what can be said about the solution?

Back

There is no solution since absolute value cannot be negative.