Study Notes
Substitution in algebra involves replacing variables with given values and performing calculations according to the order of operations.
- Substitution — replacing a variable with a given value in an expression. Example: Find the value of 3m – 5 when m = 6. 3m – 5 = 3 x 6 – 5 = 18 – 5 = 13
- Order of Operations — the rules that define the sequence in which operations should be performed. Example: Evaluate 3x + 4y when x = 10 and y = 2. 3 x 10 + 4 x 2 = 30 + 8 = 38
Exam Tips
Key Definitions to Remember
- Substitution: Replacing a variable with a given value.
- Order of Operations: The sequence in which mathematical operations are performed.
Common Confusions
- Forgetting to apply the order of operations correctly.
- Mixing up the values assigned to different variables.
Typical Exam Questions
- What is the value of 3m – 5 when m = 6? 13
- Evaluate 3x + 4y when x = 10 and y = 2. 38
- Find the result of 2x^2 + 3x + 8 when x = 4. 52
What Examiners Usually Test
- Correct application of substitution in expressions.
- Accurate use of the order of operations.