Absolute Value Equations

Front

What is the definition of absolute value?

Back

The distance of a number from zero.

Front

Solve for x: |4x - 3| = 17.

Back

x = 5 and x = -3.5.

Front

Solve for x: |2x - 3| + 5 = 10.

Back

x = -1 and x = 4.

Front

Solve for x: |2x + 9| = 15.

Back

x = 3 and x = -12.

Front

True or False: Is x = 4 a solution to |x + 5| = -9?

Back

False.

Front

What does the absolute value of a number represent?

Back

The non-negative value of that number, regardless of its sign.

Front

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

Back

x = a or x = -a.

Front

Solve for x: |x - 1| = 3.

Back

x = 4 and x = -2.

Front

What is the absolute value of -7?

Back

7.

Front

Solve for x: |3x + 2| = 8.

Back

x = 2 and x = -rac{10}{3}.