Absolute Value Equations - Warm-Up

Front

What is absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is always a non-negative value.

Front

Why is absolute value always written as a positive?

Back

Absolute value is talking about distance, and distance is always measured by positive numbers.

Front

How do you express the absolute value of -10?

Back

|-10| = 10.

Front

Order the following numbers from least to greatest: -2, |8|, 5, |-10|, 6.

Back

-2, 5, 6, 8, 10.

Front

What is the solution to the equation |v + 8| − 5 = 2?

Back

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

Front

What does the equation |−2n| + 50 = 10 imply?

Back

This equation has no solution because the absolute value cannot be negative.

Front

What is the solution to the equation |x – 3| = 0?

Back

The solution is x = 3.

Front

If |x| = a, what can you conclude about x?

Back

x can be either a or -a.

Front

What is the graphical representation of absolute value functions?

Back

Absolute value functions create a V-shape on a graph, opening upwards.

Front

How do you solve the equation |x + 4| = 7?

Back

The solutions are x = 3 and x = -11.