Topic: Algebraic Fractions

Simplify: (x^2 + 4x + 4)/(x + 2), where x ≠ -2.

• x – 2
• x^2 + 2
• x + 2
• 1

Simplify: (x/4) + (x/4) as a single fraction.

• 2x/8
• 1x/2
• x/8
• 8x/16

Add and simplify: 5/x + 2/x.

• 10/x
• 7/(2x)
• 7/x^2
• 7/x

Simplify: (x^2 – 64)/(x – 8), where x ≠ 8. [Unique SSC algebra item 4]

• x – 8
• 1/(x + 8)
• x^2 + 8
• x + 8

Simplify the algebraic fraction: (4x^2 + 12x)/(4x).

• x^2 + 3x
• x + 3
• x – 3
• 4x + 3

Simplify: (x^2 + 10x + 25)/(x + 5), where x ≠ -5.

• x^2 + 5
• 1
• x – 5
• x + 5

Simplify: (x/5) + (x/3) as a single fraction.

• x/8
• 8x/15
• Alternative 4
• 2x/8

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

• 12/x
• 12/x^2
• 36/x
• 12/(2x)

Simplify: (x^2 – 64)/(x – 8), where x ≠ 8. [Unique SSC algebra item 3]

• 1/(x + 8)
• x + 8
• x – 8
• x^2 + 8

Simplify the algebraic fraction: (5x^2 + 10x)/(5x).

• x + 2
• x – 2
• 5x + 2
• x^2 + 2x

Simplify: (x^2 + 2x + 1)/(x + 1), where x ≠ -1. [Unique SSC algebra item 2]

• x + 1
• x^2 + 1
• 1
• x – 1

Simplify: (x/6) + (x/8) as a single fraction.

• 7x/24
• 2x/14
• 14x/48
• x/14

Add and simplify: 7/x + 3/x.

• 10/x^2
• 10/(2x)
• 10/x
• 21/x

Simplify: (x^2 – 64)/(x – 8), where x ≠ 8. [Unique SSC algebra item 2]

• x – 8
• x^2 + 8
• x + 8
• 1/(x + 8)

Simplify the algebraic fraction: (4x^2 + 4x)/(4x).

• 4x + 1
• x^2 + 1x
• x + 1
• x – 1

Simplify: (x^2 + 14x + 49)/(x + 7), where x ≠ -7. [Unique SSC algebra item 2]

• 1
• x – 7
• x^2 + 7
• x + 7

Simplify: (x/4) + (x/8) as a single fraction.

• x/12
• 2x/12
• 12x/32
• 3x/8

Add and simplify: 8/x + 7/x.

• 56/x
• 15/x^2
• 15/(2x)
• 15/x

Simplify: (x^2 – 9)/(x – 3), where x ≠ 3.

• x + 3
• 1/(x + 3)
• x – 3
• x^2 + 3

Simplify the algebraic fraction: (2x^2 + 14x)/(2x).

• x – 7
• x + 7
• 2x + 7
• x^2 + 7x

Simplify: (x^2 + 14x + 49)/(x + 7), where x ≠ -7.

• x^2 + 7
• 1
• x + 7
• x – 7

Simplify: (x/3) + (x/6) as a single fraction.

• 9x/18
• x/9
• 2x/9
• 1x/2