LT 4b Practice #1

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 the equation: |v + 8| − 5 = 2

Back

The solutions are v = -1 and v = -15.

Front

What does it mean if |x| = a, where a < 0?

Back

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

Front

Solve the equation: |2x + 9| = 15

Back

The solutions are x = 3 and x = -12.

Front

What is the principle behind solving absolute value equations?

Back

To solve |A| = B, where B >= 0, set A = B and A = -B.

Front

Evaluate the expression: |x + 9| = -5

Back

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

Front

Solve the equation: |x + 2| = |x - 7|

Back

The solution is x = 2.5.

Front

What is the geometric interpretation of absolute value?

Back

Absolute value represents the distance from a point to zero on the number line.

Front

If |x| = 4, what are the possible values of x?

Back

The possible values are x = 4 and x = -4.

Front

What is the solution set for the equation |x - 3| = 0?

Back

The solution set is {3}.