Exploring Adding and Subtracting Rational Expressions

What does the absolute value of a number represent?

• The number itself

• The distance from zero

• The negative of the number

• The square of the number

If the absolute value of x is -3, what is the solution?

• x = 3

• x = -3

• No solution

• x = 0

Which of the following is a correct representation of the absolute value of x being less than or equal to 3?

• x < -3 or x > 3

• x = 3

• x is between -3 and 3 inclusive

• x = -3

What is the general rule when the absolute value of x is equal to a positive number a?

• x = a

• No solution

• x = a or x = -a

• x = -a

If the absolute value of x is less than a positive number a, what is the solution?

• x < -a or x > a

• x is between -a and a

• x = a

• x = -a

How do you solve the equation |x + 2| = 4?

• x = 2 or x = 6

• x = 2 or x = -6

• x = 2 or x = -2

• x = 4 or x = -4

What is the solution to the inequality |x - 7| > 1?

• x = 6 or x = 8

• x > 6 or x < 8

• x < 6 or x > 8

• x < 7 or x > 7

When solving the inequality |5 + x| ≤ 0, what is the solution?

• x = -5

• No solution

• x = 0

• All real numbers

If the absolute value of x is greater than or equal to zero, what is the solution?

• x < 0

• All real numbers

• x > 0

• x = 0

What is the solution to the inequality |x - 2| < 0?

• No solution

• x < 2

• x > 2

• x = 2