Page 84 - Mathematics

3. Simplify each of the following algebraic expressions where possible.

1 a b+ ab−
(a) q (qz + 4)qz (e) −
1 4 8
(b) (10x − 15y ) (f) m − 2 − m − 1
5 4n 6n
1 1 ( 51 y+ )
(c) (2b + 3) − 2 (4b − 1) (g) + 3y + 1
3
7) 3 5
(d) 6 + 3(d −
Tanzania Institute of Education
4
4. Simplify each of the following algebraic expressions and use the given
values to evaluate the simplified expression.

(a) 6n + 8m + 4n – 5m, if m = – 3 and n = 4

(b) 14x + 8 – 3x + 2, if x = – 2
(c) 26 + 2b – 6c – 3b + 6c, if c = 5 and b = – 4

(d) 3 – 5 – 7a b a + 6c + 7 , ifa a = 3, b = 2, and c = 5

(e) 5 – –ab a + 9b + 3 , if a a = 4 and b = –2
(f) 4 – 6x y + 7x + 2 , if y x = 10 and y = – 2

(g) 9 5 – 4y + y + 3x + 2, if x = 4 and y = – 4

(h) 13x + 14 8 – 4 –11 , if x+ x x = – 6
(i) 7 3 – 4 – 3 , if x + y y x = 5 and y = –3

(j) 8m + 0.4 – 2 – 6m m + 8, if m = − 4

(k) 4x y − 2 3 6k l + 3 10xy − 3 4kl , given that
3
x = 1, y = 2, k = − 2, and l = − 3

5. Simplify each of the following expressions.
Mathematics Form One (b) 2p q − 2 2 4xy + ) 2( 3x− 3q + 3y x − 3qp 2xy
2
(a) 5(2x −
3) (3 2 ) 2x−
−

x
+
2
2
(c) xy +
−
(d) 4(x y−
+
6 )y

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25/10/2024 09:51:24
Mathematics form 1.indd 78 25/10/2024 09:51:24
Mathematics form 1.indd 78