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