Page 83 - Mathematics

Example 5.11

Simplify 8m n − 2 6ac + 2 14 4m n− 2 + 3ac − 2 8 and then, state:

(a) The coefficient of mn
2
.
(b) The number of terms. Tanzania Institute of Education
(c) The constant term.

Solution
8m n − 2 6ac + 2 14 4m n− 2 + 3ac − 2 8 8m n= 2 − 4m n + 2 3ac − 2 6ac + 2 14 8−

= 4mn − 2 3a c + 2 6
(a) The coefficient of m n is 4.
2
(b) There are 3 terms.

(c) The constant term is 6.

Exercise 5.1

1. Simplify each of the following algebraic expressions and then state the
number of terms and its coefficients.
x x
(a) nnnnnk k k+++++ + + ++
(b) 3x + 4y − 7z + 3x − 7y + 2z

1 1
(c) 3 x + 7x − x
2 4

2. Simplify each of the following algebraic expressions.

45x
(a) 12m + 13m (g) x +−
(b) –5hk (2 – 3 –1r d ) (h) 4kk−+ 3k

(c) 9z + 6z − 8z + 5z (i) r + 2r + 3r + 4
(d) 0.5 (3ma − 2 )b (j) 8y − 3 7y− + 48y − 3

(e) 9 – 6a b + 3a (k) 5(5x + 6m + 4 ) y

(f) 15n − 9n (l) 2 (–13m− x + y – 6 )z Mathematics Form One

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Mathematics form 1.indd 77 25/10/2024 09:51:23
Mathematics form 1.indd 77