Page 87 - Mathematics_F1

Exercise 5.3

Simplify each of the following algebraic expressions where possible:
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1. 4 (3h − 5) 5. (10x − 15y) 9. a + b − a − b
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5
4
8
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2. k (s − t) 6. (6et − 4h) 10. m − 2 − m − 1
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3
6n
4n
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3. (8p − 6) 7. (b − 8c) 11. 5(1 y+ 3 ) + 3y+ 5 1)
2
2
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4. (qz + 4qz) 8. (2b + 3) − (4b − 1) 12. 6 + 3 (d − 7)
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q

2
3
4
Engage in Activity 5.1 to explore and represent real-life activities by using
algebraic expressions.
Activity 5.1: Using algebraic expressions in daily life experiences
1. Explore different resources to discover various daily life activities whose
processes can be represented by algebraic expressions.
2. Express algebraically the scenarios explored in task 1 and provide justifications
for your answers.
Algebraic equations
An algebraic equation is a mathematical statement connecting two algebraic
expressions with an equal sign (=). It expresses a statement or a problem in a clear
and short way. For example, 2x = 16 and 3x + 4y = 8 are algebraic equations.
Therefore, an equation has two equal sides, the left-hand side and the right-hand side.
Linear equations
A linear equation is an algebraic equation in which each variable has an exponent
of one. A linear equation can have one or more unknown variables. For example,
10 are linear equations with one variable x and z, respectively,
3x −
27= and 2z +=
Mathematics Form One Formulation of linear equations
3y =
9 and 2x −
whereas 5x +
1 are linear equations with two variables x and .y
2y =
A linear equation can be formulated from a real-life activity or from a given word
problem. Formulation of a linear equation from a real-life scenario or word problem
involves identifying the unknown, assigning the unknown with a variable, and
finally writing the equation based on the given conditions.

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Mathematics form 1.indd 80 25/09/2025 15:01:03
Mathematics form 1.indd 80