2-5 Absolute Value Equations day 3

Front

What is an absolute value equation?

Back

An absolute value equation is an equation that contains an absolute value expression.

Front

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

Back

The first step is to isolate the absolute value.

Front

Does the equation |a| = -5 have solutions?

Back

No, the equation |a| = -5 has no solution.

Front

Does the equation -2|a| = -6 have solutions?

Back

Yes, the equation -2|a| = -6 has 2 solutions.

Front

What does the absolute value of a number represent?

Back

The absolute value of a number represents its distance from zero on the number line, regardless of direction.

Front

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

Back

The possible values of x are 7 and -7.

Front

What is the solution to the equation |x - 3| = 5?

Back

The solutions are x = 8 and x = -2.

Front

How do you solve the equation |2x + 1| = 3?

Back

Set up two cases: 2x + 1 = 3 and 2x + 1 = -3, then solve for x.

Front

What is the graphical representation of an absolute value function?

Back

The graphical representation of an absolute value function is a V-shaped graph.

Front

What happens if you have an absolute value equation set equal to a negative number?

Back

If an absolute value equation is set equal to a negative number, it has no solution.