Page 116 - Mathematics

(c) axy bxy cxy− + = xy (...........)

(d) 25mn + 5mp − 5mq = 5 (...........)m
(e) ax bx ay by+ + − = x (.......) y+ (.......)

7. Evaluate the value of each of the following expressions when m = 5 and n = 2

(a) 6mn − 2mn + 4mn (b) m − mn (c) 2m + 5mn
5 2 4 10

8. Express each of the following statements in an algebraic form.
(a) The sum of a number m and three times numbern is 225.
(b) The difference between 100 and number n is m .
Tanzania Institute of Education
(c) When the sum of x and y is multiplied by 3, the result is 49.
(d) The product of twice a certain number x and three times a certain

number y is 249.
9. Solve each of the following equations.
1 3 3 3 x 5
3
(a) 5x − 7 = − x (d) x −= 3 (g) x + = x − 5
2 2 5 2 5 2
(b) 3 2x− = 15 (e) 7 = 8 (h) 5x − x − 2 = 5+ 3x + 1
x 3 2
(c) x −= 3 (f) 5x − = 2x +
3
7
3
5
10. Abdallah is 5 centimetres taller than Jane, and the sum of their heights is 307
centimetres. Find their heights.
11. The age of James is one-fifth the age of his father. If the sum of their ages is
66 years, find their ages.

12. If the four angles of a quadrilateral are given in degrees as (4 – 20 , 3x ° ) ( x + 40° ),
(3x + 50° ), and (x + 30 ),° find the value of .x

13. Solve each of the following simultaneous equations by using substitution
method. 2x = 0 (c)  x y−= − 4
Mathematics Form One (b)  2y + x + 2x −= 11 (d)  5x y 3y = y 4 − 13
y − 
(a)


21
−=
3x =

1
y
0
2x − 


2y =
−
2x += −


110

25/10/2024 09:51:41
Mathematics form 1.indd 110
Mathematics form 1.indd 110 25/10/2024 09:51:41