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Introduction to Algebraic Expressions
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Introduction to Algebraic Expressions
📚 Part 1: Understanding Algebraic Expressions
1. In the expression 5x + 7, what is the coefficient?
x
5
7
5x
2. In the expression 3y - 4, what is the constant?
3
y
-4
3y
3. Which of these are variables? (Select all that apply)
x
8
a
15
n
4. Look at the expression 2a + 6b - 9. Complete the table:
Variable(s): _________________
Coefficient(s): _________________
Constant: _________________
✏️ Part 2: Translating Words to Expressions
5. Sarah buys x packets of Tim Tams. Each packet costs $4. Write an expression for the total cost.
6. A cricket team scores 150 runs in their first innings and y runs in their second innings. Write an expression for their total score.
7. Tom has 25 marbles and gives away n marbles to his friends. Write an expression for how many marbles Tom has left.
8. A rectangle has a length of 8 metres and a width of w metres. Write an expression for the perimeter of the rectangle.
9. What is the difference between 3x + 4 and 3(x + 4)? Explain in your own words.
🎯 Part 3: Create Your Own
10. Write a word problem that could be represented by the expression 5n + 12. Use an Australian context (sport, shopping, etc.).
11. Create an algebraic expression that has:
• A coefficient of 7
• A variable of your choice
• A constant of -3
Your expression: _________________
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