Algebra Quiz: Rational Expressions and Equations

Simplify the rational expression: (3x^2 + 5x) / (2x^2 - 4)

• (3x - 5) / (2x - 4)

• (3x^2 - 5x) / (2x^2 - 4)

• (3x + 5) / (2x - 4)

• (3x^2 + 5x) / (2x^2 + 4)

Find the excluded values for the rational expression: (x^2 - 9) / (x^2 - 4x + 3)

• x = -1, x = -3

• x = 1, x = 3

• x = 0, x = 4

• x = 2, x = 5

Solve the rational equation: (x + 3) / (x - 2) = 5

• x = 13/4

• x = -1/4

• x = 10/3

• x = 7/2

Determine the domain of the rational function: f(x) = (2x^2 - 5x + 3) / (x^2 - 4)

• x = 3, x = -3

• x = 0, x = 1

• x = 2, x = -2

• x ≠ 2, x ≠ -2

Simplify the complex fraction: (2/x) / (3/2x)

• 5/4

• 2/3

• 4/3

• x/6

Solve the rational inequality: (x - 3) / (x + 2) > 0

• x > -2 and x < 3

• x < -2 or x > 3

• x > -2 or x < 3

• x < -2 or x = 3

Simplify the rational expression: (x^2 - 4) / (x^2 - 2x - 8)

• (x - 2) / (x - 4)

• (x + 2) / (x - 4)

• (x + 4) / (x - 2)

• (x^2 - 4) / (x^2 + 2x - 8)

Solve the rational equation: (2/x) + (3/x-1) = 5

• x = 0

• x = -1

• x = 1

• x = 2

Simplify the rational expression: (x^2 - 9) / (x^2 - 3x - 10)

• (x - 3) / (x - 5)

• (x + 3) / (x + 5)

• (x^2 - 9) / (x^2 + 3x - 10)

• (x + 3) / (x - 5)

Find the excluded values for the rational expression: (x^2 - 4) / (x^2 - 5x + 6)

• 4

• 6

• 5

• 2, 3