Absolute value

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

Solve for x: |x| = 7

Back

x = 7 or x = -7

Front

What does the equation |a| = b imply if b < 0?

Back

There is no solution, since absolute values cannot be negative.

Front

Solve for x: |3x - 4| = 5

Back

x = 3 or x = -rac{1}{3}

Front

What is the property of absolute value that states |x| = |y| implies x = y or x = -y?

Back

This is known as the Symmetric Property of Absolute Value.

Front

Solve for n: |-2n| + 10 = 0

Back

No Solution, since |-2n| cannot be negative.

Front

What is the first step to solve an equation involving absolute value?

Back

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

Front

Solve for x: -4|x + 5| + 2 = -126

Back

x = 27 or x = -37

Front

What does the equation |x + 3| = 0 imply about x?

Back

x = -3, since the only number whose absolute value is zero is zero itself.

Front

Solve for r: -2|-2r - 4| = -12

Back

r = 1 or r = -5