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Algebraic Expressions Introduction
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Algebraic Expressions Introduction
📚 Part 1: Understanding Algebraic Expressions
1. What is the coefficient of x in the expression 7x + 3?
7
3
x
10
2. In the expression 5y - 8 + 2x, what is the constant term?
5
-8
2
y
3. Which of the following are like terms? (Check all that apply)
3x and 7x
4y and -2y
5x and 5y
9 and -3
4. How many terms are in the expression 4x² + 3x - 7 + 2y?
2
3
4
5
✏️ Part 2: Simplifying Expressions
5. Simplify by combining like terms: 6x + 4x - 2
Answer: _________________
6. Simplify: 3y + 7 - y + 2
Answer: _________________
7. Use the distributive property to expand: 4(x + 5)
Answer: _________________
8. Expand and simplify: 3(2x + 1) + 4x
Answer: _________________
🎯 Part 3: Application
9. A rectangle has length (3x + 2) metres and width (x + 4) metres. Write an expression for the perimeter of the rectangle and simplify it.
10. Explain in your own words what it means for two terms to be "like terms".
11. Create your own algebraic expression with at least 4 terms, then simplify it by combining like terms.
Original expression: _________________________
Simplified expression: _______________________
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