Absolute value equations COPY

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 |x - 12| - 3 = 11. What are the solutions?

Back

x = -2 and x = 26.

Front

Evaluate |x + 9| = -5. What is the solution?

Back

No solution, because absolute values cannot be negative.

Front

What does |v + 8| - 5 = 2 represent?

Back

It represents an absolute value equation that can be solved to find the values of v.

Front

Solve |x - 3| = 0. What is the solution?

Back

x = 3.

Front

Solve |2x - 3| + 5 = 10. What are the solutions?

Back

x = -1 and x = 4.

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

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

Back

x = a or x = -a.

Front

What does it mean if an absolute value equation has no solution?

Back

It means that the equation cannot be satisfied by any real number.

Front

How do you graph an absolute value function?

Back

The graph of an absolute value function forms a V shape, opening upwards.