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Self Practice 5.2c

1. Find the product for each of the following:
3
4
(a) 3x × 5x (b) – 4mn × 7m 2 (c) 2 p q × 6pr
3
2. Find the quotient for each of the following:
6 4
5
2
3
3
(a) 8x y ÷ 2xy (b) 4ab ÷ 6a b (c) 12p r ÷ (–10pq)
3. Simplify each of the following:
6
3
2
2
(a) 2mn × 5m ÷ 3n (b) 6xy ÷ 20px × (–5p y)
5.2 Open the folder downloaded from page vii for extra
questions of Mastery Q 5.2.
1. Simplify each of the following: CHAPTER
pq 1
(a) (x + pq) – (3y – – 4) + ( x – 5y + 7) 5
2 3
6ab – 9mn
(b) – 2(4mn – 3ab)
3
2. In the diagram, a rope is cut into
three parts. Write the expression 2d cm
for the length of the rope in terms
of d and y. (d + 2y) cm

(3y – 2d) cm

3. The age of Azhar’s mother was four times the age of Azhar last year. If Azhar is n
years old now, state the age of Azhar’s mother seven years later in terms of n.

4. It is given that (ax + b)(ax + b)(ax + b) = (9x – 2) , where a, b and n are integers.
n
Determine the values of a, b and n.

5. Aina makes a cubic model from a manila card. If the volume of the cube is
3
3
(2 + 3p) cm , find the total surface area of the cube in terms of p.
6. Simplify each of the following:
3
18xy × 10y z 8pq
(a) (b) – × (–3p q )
2 3
15xz 2 12p q
2
7. Copy and fill in the boxes with the correct algebraic terms:
2
2
2
(a) × 3pqr = 15p qr 3 (b) ÷ 2xy z = 7x yz
2
3 2
8. The area of the rectangle is 12a b cm . Express the
length of the rectangle in terms of ab. 3ab

117
Algebraic Expressions

05 TB Math F1.indd 117 11/10/16 12:13 PM