Page 90 - Mathematics_Form_Two

Algebra

8. When 6 is divided by a certain number, 15. Re-arrange each formula to express the
the result is the same as when 5 is indicated variable on the right side in
added to the number and that sum terms of the other variables.
divided by 6. Find the number. V = u + 2,as u
2
2
9. Find a whole number such that (a)
twice its square is 11 more than 21 (b) S = Vt − 1 at 2 , t
FOR ONLINE READING ONLY
times the number. (c) A = 2 rπ 2 2 + 2 rhπ , r
Mathematics for Secondary Schools 11. Given that 1 = 1 + 1 , write v as the (d) E = 1 mv + mgh , v
10. A piece of wire 56 cm long is bent
to form a rectangle of area 171
2
2
cm . Find the dimensions of the
2
rectangle.
s
t
5 3,t
+=
(e)

2t −
5
f
v
u
subject of the formula and calculate v
c
when f = 8.1 and u = 5.4. (f) T = T 0 v 2 , v
1− 2
12. Solve each of the following equations. c
2 1 (g) V = V 0 , r
(a) 3x − = 4 (d) 2x − = − 1 r − 1
2
x x
1 2 16. Juma and Maria can plough together
(b) 1− = − 5x (e) x + = 3
x x a garden for 3 hours. If Juma works
alone, he will take 8 hours less than
1 5 x + 3 9
(c) 3+ = − (f) = Maria to lough the same garden. Find
−
x 2 x 1 x x the time each person will use to plough
13. Use the defined binary operation to the garden.
evaluate each of the following: 17. Members of the STEM group at a
b
(a) If a ⊗= ab a b+ + , find 3⊗ 4. certain school decided to go for a study
(b) If ab∗= (a b a b+ )( − ) 2+ , tour. The cost for hiring a minibus is
Tshs 300,000 which must be equally
find 27∗ . shared among the members. However,
14. Make t the subject of the following two students from the social group
formulae. joined the group and each student

(a) V = u at+ was supposed to pay Tshs 5,000 less.
1 How many members are in the STEM
(b) S = ut + at 2
2 group?
(c) (2y t + ) 1 = t + 3 18. The sides of a right angleds triangle are
(x +1) cm, (x +2) cm, and
x
(d) += (x + 5)cm. Use these information to
5 t
xt+ show that x − 2 4x − 20 0.=

84
Student's Book Form Two

11/10/2024 20:12:10
MATHEMATIC F2 v5.indd 84 11/10/2024 20:12:10
MATHEMATIC F2 v5.indd 84