FA24 standard 5 absolute value

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 |x| = 9. What are the possible values of x?

Back

x = -9 or x = 9.

Front

What does the equation |x - 6| = 14 represent?

Back

It represents two possible equations: x - 6 = 14 or x - 6 = -14.

Front

Solve |x - 6| = 14. What are the possible values of x?

Back

x = 20 or x = -8.

Front

What is the solution to the equation |10 - 2x| = -4?

Back

No Solution, because absolute values cannot be negative.

Front

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

Back

x = a or x = -a.

Front

What is the graphical representation of |x|?

Back

The graph of |x| is a V-shaped graph that opens upwards, intersecting the y-axis at (0,0).

Front

How do you solve an absolute value equation?

Back

Isolate the absolute value expression, then set up two separate equations to solve for the variable.

Front

What is the relationship between absolute value and distance?

Back

Absolute value measures the distance of a number from zero on the number line.

Front

Solve |x + 3| = 5. What are the possible values of x?

Back

x = 2 or x = -8.