Simplifying Rational Expressions

Find the value(s) of the variable for which the rational expression is undefined:

3x

(x - 5)

• exclude 3

• exclude -3

• exclude 5

• exclude -5

Find the value(s) for which the rational expression is undefined.

2x²/(x² + x - 2)

• exclude 0

• exclude -2 and 1

• exclude 2 and -1

• exclude 2

Simplify the rational expression. List the value(s) that make the denominator undefined.

(5x - 10)/15

• (x - 2)/3 exclude 15

• (5x - 2)/3 exclude nothing

• (x - 5)/3 exclude 15

• (x - 2)/3 exclude nothing

Simplify the rational expression. List the value(s) that make the denominator undefined.

(x² - 1)/ 2x² + 5x + 3)

• (x - 1)/(2x + 3) exclude 1 and 2/3

• (x - 1)/(2x + 3) exclude -1 and -3/2

• (x - 1)/(2x + 3) exclude 1 and 3/2

• (x - 1)/(2x + 3) exclude -1 and -2/3

Simplify each radical expression. Assume that no variable has a value that results in a denominator with a value of zero.

(3x - 12)/(x² - 16)

• 3/(x - 4)

• 3/(x + 4)

• (x - 4)/3

• (x + 4)/3

Simplify each radical expression. Assume that no variable has a value that results in a denominator with a value of zero.

(x² - 2x - 15)/(x² - 8x + 15)

• (x + 3)/(x - 3)

• (x + 1)/(x - 3)

• (x + 3)/(x - 1)

• (x - 3)/(x + 1)

Tags

CCSS.HSA.APR.D.6

Simplify each radical expression. Assume that no variable has a value that results in a denominator with a value of zero.

(16 - x²)/(x² - 8x + 16)

• (x - 4)/(x - 4)

• (x + 4)/(x - 4)

• -1(x - 4)/(x + 4)

• -1(x + 4)/(x - 4)

Tags

CCSS.HSA.APR.D.6

Simplify each radical expression. Assume that no variable has a value that results in a denominator with a value of zero.

(3x³ + 8x² - 16x)/(x³ - x² - 20x)

• (3x - 4)/(x + 5)

• (3x + 4)/(x - 5)

• (3x - 4)/(x - 5)

• (3x + 4)/(x + 5)

Tags

CCSS.HSA.APR.D.6

Simplify each radical expression. Assume that no variable has a value that results in a denominator with a value of zero.

(2x² + 5x - 3)/(4x² - 8x + 3)

• (x - 3)/(2x + 3)

• (x + 3)/(2x - 3)

• (x + 3)/(2x + 3)

• (x - 3)/(2x - 3)

Tags

CCSS.HSA.APR.D.6

Simplify each radical expression. Assume that no variable has a value that results in a denominator with a value of zero.

(7x - x²)/(x³- 5x² - 14x)

• -x/x(x + 2)

• (x + 2)

• -1/(x + 2)

• 1/(x + 2)