Algebraic fractions

Question 1

Simplify the fraction (2x^2 + 4x) / (2x)

Answer 1

x + 2

Question 2

What is the least common denominator (LCD) of the fractions 1/(x+2) and 1/(x-2)?

Answer 2

(x + 2)(x - 2)

Question 3

Simplify the expression (3x^2 - 12) / (3x)

Answer 3

x - 4

Question 4

True or False: The fraction (x^2 - 1) / (x - 1) can be simplified to x + 1.

Answer 4

True

Question 5

What is the result of adding the fractions 1/(x+1) + 1/(x+2)?

Answer 5

(2 + x) / ((x + 1)(x + 2))

Question 6

Simplify the expression (4x^2 - 16) / (2x)

Answer 6

2x - 8

Question 7

What is the simplified form of (x^2 - 4) / (x + 2)?

Answer 7

x - 2

Question 8

True or False: The expression (x^2 + 3x + 2) / (x + 1) cannot be simplified.

Answer 8

False

Question 9

Subtract the fractions 3/(x+1) - 2/(x+2). What is the result?

Answer 9

(3(x + 2) - 2(x + 1)) / ((x + 1)(x + 2))

Question 10

Simplify the expression (5x^2 + 10x) / (5x)

Answer 10

x + 2

Question 11

What is the simplified form of (x^2 - 9) / (x - 3)?

Answer 11

x + 3

Question 12

True or False: (2x + 4) / (2) simplifies to x + 2.

Answer 12

True

Question 13

What is the result of multiplying the fractions 2/(x+1) * 3/(x+2)?

Answer 13

6 / ((x + 1)(x + 2))

Question 14

Simplify (x^2 - 4x + 4) / (x - 2).

Answer 14

x - 2

Question 15

If a = 2, what is the value of the fraction (a^2 - 1) / (a - 1)?

Answer 15

3

Question 16

What is the least common multiple (LCM) of the denominators x^2 and x?

Answer 16

x^2

Question 17

Simplify (6x^2 - 12) / (3x).

Answer 17

2x - 4

Question 18

True or False: The expression (x^2 + 5x + 6) can be factored as (x + 3)(x + 2).

Answer 18

True

Question 19

What is the result of adding the fractions 1/(x) + 1/(x^2)?

Answer 19

(x + 1) / (x^2)

Question 20

Simplify the expression (x^2 - 1) / (x + 1).

Answer 20

x - 1

Question 21

True or False: (4x^2 + 8x) / (4x) simplifies to x + 2.

Answer 21

True

Question 22

What is the result of subtracting the fractions 5/(x^2) - 3/(x)?

Answer 22

(5 - 3x) / (x^2)

Question 23

Simplify (15x^2 + 25x) / (5x).

Answer 23

3x + 5

Question 24

What is the simplified form of (x^2 + 4x + 4) / (x + 2)?

Answer 24

x + 2

Question 25

True or False: (x^2 + 2x) / (x) simplifies to x + 2.

Answer 25

True

Question 26

What is the result of multiplying the fractions 1/(x) * 4/(x^2)?

Answer 26

4 / (x^3)

Question 27

Simplify (8x^2 - 2x) / (2x).

Answer 27

4x - 1

Question 28

If x = 3, what is the value of the fraction (x^2 - 9) / (x - 3)?

Answer 28

6

Question 29

Simplify (x^2 - 2x) / (x).

Answer 29

x - 2