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Indices
1
2
1. Simplify( 2m
)
2. Find the value of (– 2
1 )
–4
6
1
3. Given that
3 = 2 x , find the value of x.
8
4. Simplify k 3 × 3k 2 h ÷ 6k 2 h 3 .
5. Simplify (–10t 8 ) ÷ (–2t 5 )
6. Given (r n ) 3 = r 12 , find the value of n.
2
7. Find the value of 125 5 25
5
8. Find the value of 49 7 .
3
2
5 2 3
8h
k 6k
9. Simplify .
2
3h
4
3
3
10. Simplify ( 4
1 e
0
f 5 g 2 ) 3
11. Simplify (p 3 q 2 ) p –4 q 5 .
2
12. Given that 3 x 27 9 , find the value of x.
5 10
2
13. Simplify( m n ) ( mn )
(4 3 )
14. Find the value of
5
2
2 1 5
15. Simplify xy x y .
3
2
5
4
3
2
3
1
4
3
3
Algebraic Expressions
1. Expand –5x(x – 2y)
2. Expand (2m – 3)(m + 1).
3. Simplify (x – y) 2 + 6xy
4. Factorize x 2 + 4xy + 4y 2 .
5. Factorize completely the expression 4k – ky 2 .
2
4m
n 9mn
6. Simplify
3 4
12m n
7. Simplify
r 5
.
5 r
8. Simplify 64a 3 b 8ab 4 4b
3 5 3
35x
y 7x
y
9. Simplify
3 5
7x
y
10. Factorize 4s 2 – 25t 2
3
4
11. Simplify
x
2
4xy
10
4y
2
x
2y
5
12. Expand ( 2x
2
5)
13.
3
Factorize x y
2
x y x
14.
4xy
12 y
Simplify
2
x 6x
9
15.
1 x y
Simplify
2 2
x y x y
Algebraic Formulae
1. Given
p
r
q
= 2r, then q =
8.
2. Given n
m – m = 7, then m =
3. Given 3a 2 = 5d – 7c, then c =
4. Given A = r 2 . If A = 154 and
5.
= 7
22 , find the value of r.
The diagram shows an isosceles
triangle PQR. If the perimeter of
the triangle is p, then p =
a
9. Given that b = , express c as
1 c
the subject of the formula.
10. If v 2 = u 2 + 2as, find the value of
v when u = 8, a = 2 and s = 9.
In the diagram, PQRS is a
rectangle. If the area of the
shaded part is y cm 2 , write a
formula to relate x and y.
3k
6. Given F = . If F = 4 and
p
p = 81, find the value of k.
7. Given
subject.
t
y
2
= 7, make y as the
1
11. Given that x =
1
terms of x.
y
y
, express y in
12. Given that 3y – q = p + 2y,
express y in terms of p and q.
13. Given that c = 9
5 (F – 32), find
the value of F if c = 30.
1 1 1
14. Given + = , find the
u v f
value of u when f = 15 and v =
20.
15. Ali’s body mass is M kg.
Chong’s body mass is N kg.
Given that Chong is 5 kg heavier
than Ali, write a formula to relate
M and N.
Linear Equations
1 Given that 14y = 112, find the
value of y.
2
The diagram shows a triangle
PQR. The area of the triangle is
42 cm 2 . Write a linear equation
to represent the area of the
triangle.
3 Given that
value of y.
y
3
= 6
5 , find the
4 Given that 15 – 8x = – 41, find
the value of x.
linear equation to represent their
total age.
10 Aini has RMx. Farah has 3 times
of Aini’s money. Their total
amount of money is RM56.
Write a linear equation to
represent their total amount of
money.
11 Given that 2
then y =
1 2 p
12 Given that = 2 3
then p =
1
y 1 = 11,
2
5 ,
6
18 4x 13 Given that 3 = , then x =
2
14
5 Given that 5(b + 8) = 80, find the
value of b.
6 Given that 4(x + 3) = 2x + 2, find
the value of x.
7 Given that 8 + 2
y = 17, find the
value of y.
The diagram shows a rectangle
PQRS. The perimeter of the
rectangle is 46 cm. Find the
value of a.
8 Given that
value of x.
6 x = 5, find the
3
15 31
3p = 22. The value of p is
8
9 Akram is p years old. Shazwan is
7 years older than Akram. Their
total age is 31 years. Write a