Solving Absolute Equations

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 always non-negative.

Front

Solve the equation |x + 19| = 25.

Back

x = 6 or x = -44.

Front

What is the absolute value of |55|?

Back

55.

Front

Solve the equation |2x - 3| + 5 = 10.

Back

x = -1 or x = 4.

Front

What does the equation |x| = a imply when a < 0?

Back

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

Front

If |x| = 10, what are the possible values of x?

Back

x = 10 or x = -10.

Front

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

Back

x = 8 or x = 2.

Front

How do you isolate the absolute value in an equation?

Back

To isolate the absolute value, move all other terms to the opposite side of the equation.

Front

What is the solution of the equation |x + 4| = 0?

Back

x = -4.

Front

If |x - 2| < 5, what is the range of x?

Back

-3 < x < 7.