Solving Equations with Excluded Values

Identify the Excluded Values of the Rational Expression

• x = 1

• x = -6

• x = 1, -6

• x = -1, 6

Identify the Excluded Value of the Rational Expression.

• v = 5

• v = 10

• v = -25

• v = -5

To simplify a rational expression, I should

• Eliminate common terms in the numerator and denominator.

• Combine like terms in the numerator and denominator.

• Factor the numerator and denominator and eliminate common factors.

• Find an LCD.

Reduce to lowest terms.

x² + 11x + 24

-------------------------

x² + 4x - 32

• (x + 3)

  -------

  (x + 4)

• (x - 3)

  -------

  (x - 4)

• (x + 4)

  -------

  (x - 3)

• (x + 3)

  -------

  (x - 4)

Which value of x makes the expression undefined?

• 3
• -2
• -3
• 5

What value(s) make the expression undefined?

• x = - 3 and x = 4
• x = 3 and x = - 4
• x = 3 only
• x = - 4 only

What are the restrictions of the following rational expression:

• x ≠ 0, 16
• x ≠ -4, 4
• x ≠ -16, 16
• x ≠ -¼, ¼

What is the non-permissible value of this rational expression.

• 0 and 2
• 2 and 3
• 0 and 1.5
• 1.5 and -1.5

Find the excluded value(s).

• 3
• -3
• 0
• -1

Find the excluded value(s).

• -1
• 1
• -1, 1
• 0