Late Solving Absolute Value Equations 2

Front

What is an absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative value.

Front

Solve the equation: |6 − 2k| = 18

Back

k = −6, k = 12

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 the equation: |2a − 10| = 6

Back

a = 8, a = 2

Front

What does the equation |x| = a represent?

Back

It represents two equations: x = a and x = -a, where a is a non-negative number.

Front

Solve the equation: −2|−2r − 4| = −12

Back

r = −5, r = 1

Front

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

Back

Isolate the absolute value expression on one side of the equation.

Front

Solve the equation: |2a + 10| = 6

Back

a = −8, a = −2

Front

What happens if the expression inside the absolute value is negative?

Back

The absolute value will convert it to a positive value.

Front

Solve the equation: |x + 3| = 5

Back

x = 2, x = -8