Absolute value 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

What is the absolute value of | -5 |?

Back

5

Front

Solve the equation: |x - 3| = 7.

Back

x = 10 or x = -4.

Front

What does the equation |a| = b imply if b < 0?

Back

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

Front

Solve the equation: |2x + 1| = 3.

Back

x = 1 or x = -2.

Front

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

Back

x = 0.

Front

If |x + 4| = 6, what are the possible values of x?

Back

x = 2 or x = -10.

Front

What is the graphical representation of an absolute value function?

Back

It forms a V-shape on the graph, opening upwards.

Front

Solve the equation: |3x - 5| + 2 = 0.

Back

No Solution.

Front

What is the property of absolute values: |a| = |b|?

Back

This means a = b or a = -b.