JSS2 Second Term Mathematics Lesson Note – Simple Linear Equations

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WEEK 3

TOPIC: Simple Linear Equations

CONTENT:

• Solving simple equations (balance methods; collecting like terms).
• Solving equations involving bracket and fractions
• Word problem leading to simple equation.

DEFINITION OF EQUATION

Equations are open sentences which have the equal sign. Solving an equation means finding a value of the unknown which makes the equation true. Any letter a, f, c, x etc. can be used as unknown. The set of values which make an equation true is called the truth set.

Example 1

Solve the following simple equations:

1. 3a-8 = 10
2. 10x – 7 = 27
3. 4 + 5y = 19

Solution

1. 3a – 8 = 10

Method 1

3a – 8 + 8 =10 +8

3a = 18

= 6

Method 2

3a – 8 = 10

3a = 10 + 8

3a = 18

a  =  = 6

Note: If a number is moved from one side to an equation over the equal sign to the other side, the sign of the number changes.

1. 10x – 7 = 27

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