THURSDAY EXIT FLASHCARD: SOLVE ABSOLUTE VALUE EQUATIONS

Front

What is an absolute value equation?

Back

An absolute value equation is an equation that contains an absolute value expression, which represents the distance of a number from zero on the number line.

Front

How do you solve the equation |x| = a?

Back

To solve |x| = a, you set up two equations: x = a and x = -a.

Front

Solve the equation |x + 3| = 5.

Back

x = 2 or x = -8.

Front

What does the equation |2x - 4| = 10 represent?

Back

It represents two equations: 2x - 4 = 10 and 2x - 4 = -10.

Front

Solve the equation |3x + 1| = 7.

Back

x = 2 or x = -rac{8}{3}.

Front

What is the first step in solving |x - 1| = 4?

Back

Set up the two equations: x - 1 = 4 and x - 1 = -4.

Front

Solve the equation |x| = 0.

Back

x = 0.

Front

What is the solution to |x + 2| = 6?

Back

x = 4 or x = -8.

Front

How do you interpret the absolute value in an equation?

Back

The absolute value indicates the distance from zero, meaning the expression inside can be either positive or negative.

Front

Solve the equation |x - 5| = 3.

Back

x = 8 or x = 2.