Absolute Values Test

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: 3|x| - 5 = 10

Back

x = 5 or x = -5

Front

What does it mean if |x| = a where a < 0?

Back

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

Front

Solve for b: -7|b| = -28

Back

b = -4 or b = 4

Front

Solve for x: |x + 3| = 10

Back

x = 7 or x = -13

Front

What is the solution to |w| = 5?

Back

w = 5 or w = -5

Front

Solve for w: 5|w| = -25

Back

No solution, as absolute values cannot be negative.

Front

What is the general form of an absolute value equation?

Back

|expression| = value, where the expression can be any algebraic expression.

Front

Solve for x: |x - 10| = 19

Back

x = 29 or x = -9

Front

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

Back

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