Solving Absolute Value Equations

Front

What is the definition of absolute value?

Back

The distance of a number from zero.

Front

Why is absolute value always written as a positive number?

Back

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

Front

What is the absolute value of |-26|?

Back

26

Front

How many solutions does the equation 4|m| = -20 have?

Back

no solution

Front

Evaluate the expression: | x + 9 | = -5

Back

no solution

Front

What is the absolute value of 0?

Back

0

Front

If |x| = 7, what are the possible values of x?

Back

x = 7 or x = -7

Front

What does the equation |x - 3| = 5 represent?

Back

x - 3 = 5 or x - 3 = -5, leading to x = 8 or x = -2.

Front

Is it possible for an absolute value equation to have no solution? Give an example.

Back

Yes, for example, |x| = -3 has no solution.

Front

What is the absolute value of a negative number?

Back

The absolute value of a negative number is its positive counterpart.