1. Identify the unknowns in each of the following algebraic terms. (a) xyz (b) –4x2y2z 2. Write each of the following algebraic terms as a product of the unknowns with the number. (a) 5pq2r (b) 6p2q2r = = 3. Simplify each of the following as a term. (a) –4 × p × q × r × r (b) 4.7 × a × b × b × b = = 4. Identify the coefficients in each of the following algebraic terms. Algebraic term Unknown
(a)
(b)
4mnp
p2q2r2
mn
p2
Coefficient 5. Based on the list given below, group the like terms into the boxes given. 5x2y2
7x2
6xy2
–4pqr
4xy
3x
1.2pq
2pqr
(a)
(b)
(c)
1 — 4x –4pq (d)
18xy2 –2x2y (e)
6. For each of the algebraic terms given, write another 3 possible like terms. Algebraic term (a)
7. Find the product for each of the following. 7 5 (a) — (b) –18p1— 15 a × 20b 9 qr2 = = 28 2 — 20 (c) –3.6xy(2x2y) (d) — 15 mn × 7 m = = 8. Find the quotient for each of the following. (a) –38x2y2 ÷ (–8y) (b) = 3 2 (c) 27p2q3 ÷ — (d) 5 p q =
6mn ÷ 20n = 15 2 25 2 — – — 7 p q ÷ 28 p q =
9. Simplify each of the following. 4 2 (a) 4mn ÷ (–7mn2) × 35m2n (b) 8mn2 ÷ 8m × — 5 mn = = 5 16 2 2 — (c) – — (d) 0.6x2yz ÷ 3y2z × (–5xyz) 13 a × 8a b ÷ 1– 26 ab 2 = = 10. Write an algebraic expression for each of the following. (a) The cube of p is subtracted from the square of q. (b) Azmi’s father is 5p m tall. Azmi is shorter than his father by q m. What is Azmi’s height? (c) If a pencil costs 7y sen, find the cost of a dozen pencils. (d) The height of a triangle is 2y cm and its base is 6x cm. Find the area of the triangle. (e) The edge of a cube is 3y cm. What is the volume of the cube? (f) Azhar has got RM18p. He gave RMpq to his sister. How much money has Azhar got now? 11. For each of the following, write ‘u’ for algebraic expressions and ‘2’ for non algebraic expressions. (a) 3x – 4y (b)
6x + 4y = 0
12. State the number of terms in each of the following expressions. (a) x – ab + 6 (b) 7a – 8b + 4c – 10
