5A-Solving Absolute Value Equations

Front

Define absolute value.

Back

The distance of a number from zero.

Front

Solve the equation |2x - 1| = 7.

Back

x = 4 or x = -3.

Front

Solve the equation |x - 4| = 2.

Back

x = 6 or x = 2.

Front

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

Back

x = 6 or x = 0.

Front

If |x - 2| = 5, what are the two possible solutions for x?

Back

x = 7 or x = -3.

Front

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

Back

x = a or x = -a.

Front

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

Back

Isolate the absolute value expression.

Front

How do you solve the equation |x| = 0?

Back

The solution is x = 0.

Front

What is the solution set for |x| = -a where a > 0?

Back

No solution.

Front

Explain the geometric interpretation of absolute value.

Back

It represents the distance from the origin on a number line.