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Introduction to Algebra

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Introduction to Algebra

Algebra symbols and equations

📚 Part 1: Understanding Algebra Language

1. Match each term with its correct definition by drawing a line:
Variable
Constant
Expression
A fixed number like 5 or 12
A letter representing an unknown number
A combination of variables and constants
2. Which of these is written correctly in algebra?

3 × x

3x

3 * x

x3

3. In the expression 4y + 7, identify the parts:

The variable is: ________

The constant is: ________

The coefficient of y is: ________

✏️ Part 2: Translating Words to Algebra

4. Write each statement as an algebraic expression:

a) A number plus eight: ________________

b) Five times a number: ________________

c) A number minus three: ________________

d) Ten more than twice a number: ________________

5. Real-life algebra! Write expressions for these rural school scenarios:

a) The cost of p pies at $4 each: ________________

b) The total kilometres if you travel 15km to town and then d km further: ________________

c) Your age in 5 years if you are currently a years old: ________________

6. If x = 6, find the value of each expression:

a) x + 9 = ________

b) 3x = ________

c) 2x - 4 = ________

🎯 Part 3: Challenge Problems

7. A rectangle has length l metres and width 8 metres. Write an expression for:

a) The perimeter: ________________

b) The area: ________________

8. Explain in your own words: Why do we use letters like x and y in algebra instead of just numbers?
9. Create your own word problem that would use the expression 2n + 10:

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