Topic: Algebraic Fractions

Add and simplify: 9/x + 6/x.

• 15/x
• 15/(2x)
• 54/x
• 15/x^2

Simplify: (x^2 – 1)/(x – 1), where x ≠ 1.

• x – 1
• x + 1
• 1/(x + 1)
• x^2 + 1

Simplify the algebraic fraction: (3x^2 + 24x)/(3x).

• x – 8
• 3x + 8
• x^2 + 8x
• x + 8

Simplify: (x^2 + 2x + 1)/(x + 1), where x ≠ -1.

• x + 1
• 1
• x^2 + 1
• x – 1

Simplify: (x/9) + (x/8) as a single fraction.

• Alternative 4
• x/17
• 2x/17
• 17x/72

Add and simplify: 6/x + 4/x.

• 10/x
• 10/x^2
• 10/(2x)
• 24/x

Simplify: (x^2 – 16)/(x – 4), where x ≠ 4.

• x – 4
• x + 4
• x^2 + 4
• 1/(x + 4)

Simplify the algebraic fraction: (7x^2 + 28x)/(7x).

• 7x + 4
• x + 4
• x – 4
• x^2 + 4x

Simplify: (x^2 + 6x + 9)/(x + 3), where x ≠ -3.

• x – 3
• 1
• x^2 + 3
• x + 3

Simplify: (x/5) + (x/2) as a single fraction.

• x/7
• 2x/7
• Alternative 4
• 7x/10

Add and simplify: 3/x + 1/x.

• 4/x^2
• 4/(2x)
• 4/x
• 3/x

Simplify: (x^2 – 64)/(x – 8), where x ≠ 8.

• 1/(x + 8)
• x^2 + 8
• x + 8
• x – 8

Simplify the algebraic fraction: (2x^2 + 16x)/(2x).

• x^2 + 8x
• x – 8
• x + 8
• 2x + 8