MCQ Questions

Question No. 1

Solve for x for which the following expressions and equations are undefined.

Answer :

a) 6/(x + 3)

b) (x − 2)/(2x − 1)

c) 3x/(5 − x)

d) (x + 1)/(4 − 2x) + 1/x

e) (2x − 3)/(x − 7) − (x − 3)/(2x + 1)

f) 4x/(3x − 1) = (5x − 1)/(x + 6)

g) 1/(x² − 1) = (x − 1)/(4x + 3)

Question No. 2

Write down the value of x in these equivalent fractions.

Answer :

a) x/9 = 1/3

b) 1/x = 40/96

c) x/56 = 6/14

d) 28/48 = 70/x

e) 2x/56 = 6/14

Question No. 3

Write each fraction as a common fraction (i.e. not a decimal) in its simplest form.

Answer :

a) 24/36

b) 14/42

c) 48/120

d) 56/64

e) 1 2/3

f) 5 3/4

g) 360/96

Question No. 4

Simplify these expressions.

Answer :

a) 1/2 + 2/3 + 3/4

b) 1/4 + 5/12 − 1/6

c) 3/5 − 1/4

d) 5/3 ÷ 3/8 + 3/4

e) 6/7 × 8/15

f) 3/4 ÷ 1/5

g) 3/10 ÷ 5/30

h) 12/50 × 15/18

Question No. 5

Simplify as far as possible.

Question No. 6

Factorise and simplify.

Answer :

a) (a−b)/(2a−2b)

b) (x−y)/(y−x)

c) xy/x

d) (x²−y²)/(x−y)²

e) (ax−a)/(ax+a)

f) (2x²−x)/(4x²−2)

g) (6x²+9xy)/3x

h) 6x² × 9xy / 3x

Question No. 7

Fully simplify the following expressions.

Answer :

a) 3x/5 + x/4

b) (x−1)/2 − (x+1)/3

c) (2x+3)/5 + (x−1)/2 + 1

d) (5x−3)/5 − (x−4)/4

e) 3x/2 + 2x + (x+2)/4

f) (2x+1)/2 − 1/3 × (x−6)

g) x/5 + 3x/2 − 3x + 1

Question No. 8

Simplify fully.

Answer :

a) 2/3 + 3/5

b) −2/(x−3) − 4/(x+1)

c) −3/x + 2/(x−1)

d) 1 + y − (2y−1)/2

e) −3/(x−2) + 1/(2x+1)

f) 1/(x²−1) + 1/(x²−x)

Question No. 9

Simplify.

Answer :

a) 2/y² × 3y/8

b) 4a²/5 ÷ 10/a

c) (24x−8)/12 ÷ (9x−3)/6

d) (2a²−a)/(6a−3) × 6/a²

e) 9xy²/(x+2) ÷ 3xy/(x²−4)

f) (x²y−xy²)/(x−y) ÷ xy/3

g) (x²−y²)/(2x+2y) × 4/(x−y)

Question No. 10

Solve:

Question No. 11

Solve for x and related equations.

Answer :

a) 4x/3 − (3x − 4)/6 = 5 − (x − 2)/2

b) (x + 5)(x − 6)/2 = (x − 1)(x − 4)/3

c) 3/(2 − x) + 5/(2 + x) = 2/x

d) (2x − 1)/(x + 7) = (x − 2)/(x − 1)

e) 2x/(5x − 1) = (2x + 1)/[2(x + 1)]

f) 2x/(x + 1) = (x − 3)/(x² + 4x + 3)

g) (2x − 3)/(x² − 4) − 1/(2x² + 3x − 2) = (x − 1)/(2x² − 5x + 2)

Chapter

Enter Your Book Codewwww

Enter Your Book Code

Insert 6 Digit Book Code

Enter the code sent to