Page 115 - Mathematics
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3. A term of an algebraic expression 2. Simplify each of the following
can be a single letter, or letters expressions and identify the number
multiplied by numbers, or a of terms and coefficients.
constant separated by addition or (a) 16m + 3n − 9m − 9n + 3m
subtraction.
4. The number which multiplies a (b) 0.7x + 2.3y − 4.4x + 3.6y Tanzania Institute of Education
variable is called the coefficient (c) x + 1 3 y − 3 z + 3 x − 1 yz+
2
2
4
2
4
of the variable.
5. Simplification of an algebraic (d) 4ab + 5ac − 7ad − 7ad + 3ac
expression is a process of 3. Simplify each of the following algebraic
combining like terms to obtain a expressions.
single term as possible. (a) 7m − 9n + 6m + 8n − 3m
6. An equation is a statement which (b) 5k − 5n + 6k − 17k − 5
connects two expressions with an (c) 5x + 9y + 7x − 8y − 3x
equal sign ()= . (d) (3x y− ) 2(4x− − 3 )y
7. Simultaneous equations are a set 4. Multiply each of the following algebraic
of two or more related equations expressions.
with multiple unknowns. (a) 5x − 7y by 4
8. Inequalities are used to compare (b) 4a − 5c + 2 by 5−
two values or expressions. (c) 11p + 7q − 5 by 2a
9. Common inequalities are less
5
than (< ), greater than ( >), less (d) 3 m − by 6n−
2
2
than or equal to (≤ ), greater than
or equal to (≥ ) and not equal (e) 7x − 2y + 3z by 0.5
( ).≠ 5. Find the answers to the following
algebraic expressions.
Revision exercise 5 (a) 8ab× 5mn× 3
(2 ) 7m ×
(b) 3n×−
1. Write each of the following (c) ( 2x ) a − 3b
−
expressions in the simplest form. 2
(a) 14a + 7a − 5a 6. Complete each of the following
(b) 9m − 4m + 2m statements. Mathematics Form One
(c) 0.5x + 1.7y − 1.2x + 2.4y (a) 5ax − 2ay + 3az = a (...............)
5
3
(d) x −+ 5 x + 9 (b) 9ax − 15ac − 6a = − 3 (.............)a
2 2 2 4
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Mathematics form 1.indd 109 25/10/2024 09:51:40
Mathematics form 1.indd 109