ALGEBRAIC EXPRESSION

Question 1

If , make g the subject of the formula (UME 2005 Question 35)

 

Solution

 

Question 2

Solve  (UME 1981, Question 20)

 

Solution

 

Question 3

Simplify  where  (UME 1981 Question 36)

Solution

 

Question 4

Make c the subject of formula  (UME 1981, Question 19)

            Solution

 

Question 5

Simplify as much possible  (UME 1980, Question 40)

Solution

 

Question 6

Simplify  (UME 1981, Question 46)

Solution

Question 7

Simplify  (UME 1981 Question 39)

Solution

 

Question 8

Simplify  (UME 1983 Question 15)

 

Solution

 

Question 9

If  and , then  in the simplest form is (UME 1984, Question 30)

 

Solution

 

Question 10

Simplify  (UME 1984 Question 31)

 

Solution

 

Question 11

If  and , express t  in terms of q (UME 1984, Question 36)

 

Solution

 

Question 12

Simplify  (UME 1985 Question 6)

Solution

                       

 

Question 13

Write h in terms of a b, c, d if  (UME 1985, Question 11)

Solution

 

Question 14

 (UME 1985 Question 22)

 

Solution

 

Question 15

Simplify  (UME 1986, Question 22)

Solution

 

Question 16

Simplify  (UME 1986, Question 26)

 

Solution

Question 17

Make v the subject of the formula  (UME 1986, Question 27)

 

Solution

 

Question 18

Make y the subject of the formula  (UME !987, Question 20)

Solution

 

Question 19

If  find n when  and p = 1 (UME 1997, Question 16)

 

Solution

 

Question 20

 

(UME 1987, Question 17)

 

Solution

 

Question 21

Simplify   (UME 1988, Question 12)

 

 

Solution

 

 

Question 22

             

Solution

 

Question 23

If a = –3, b = 2, c = 4, Evaluate  (UME 1988, Question 15)

Solution

Question 24

 (UME 1988, Question 18)

Solution

 

Question 25

Simplify  (UME 1988, Question 23)

 

Solution

 

Question 26

Simplify  (UME 1988, Question 24)

           

Solution

 

Question 27

Make R the subject of the formula  (UME 1989, Question 13)

Solution

 

Question 30

Find the value of the expression  (UME 1989, Question 14)

Solution

 

Question 30

Simplify  (UME 1989, Question 27)

Solution

 

Question 31

Simplify  (UME 1990, Question 11)

Solution

Question 32

 (UME 1990, Question 12)

 

Solution

 

 

Question 33

Express r in terms of p and q in the following equation  (UME 1990, Question 14)

Solution

 

Question 34

 

Solution

Question 35

Given that   (UME 1990, Question 26)

 

Solution

 

Question 36

Make t the subject of the formula  (UME 1992, Question )

Solution

 

Question 37

Evaluate  (UME 1993, Question 13)

 

Solution

 

Question 38

Make Q, the subject of the formula when

              (UME 2008 Question 12, type A SetU03)

 

Solution

 

Answer: Option A

 

Question 39

If , express r in term of p, s and t

(UME 2009 Question 12, SetU03)

 

Solution

Answer: Option A