Math 3 Absolute Value and Inverses Practice

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

How do you solve an absolute value inequality like |x| < a?

Back

To solve |x| < a, split it into two inequalities: -a < x < a.

Front

What is the solution to the inequality |x - 3| ≤ 5?

Back

The solution is -2 ≤ x ≤ 8.

Front

What does the notation f^-1(x) represent?

Back

f^-1(x) represents the inverse function of f(x), which undoes the action of f.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse, replace f(x) with y, swap x and y, and solve for y.

Front

What is the graphical representation of an absolute value function?

Back

The graph of an absolute value function is a V-shape, opening upwards.

Front

What is the solution to the equation 3|d - 4| = 12?

Back

The solutions are d = 8 and d = 0.

Front

How do you express the absolute deviation of a number x from a value a?

Back

The absolute deviation is expressed as |x - a|.

Front

What is the solution to the inequality 3|2d + 9| + 13 > 10?

Back

The solution is all real numbers.

Front

What is the meaning of the inequality |x - 500| ≤ 30 in the context of a word limit?

Back

It means the number of words x can be between 470 and 530.