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Algebraic Expressions Basics
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Algebraic Expressions Basics
🔍 Part 1: Term Detective - Identifying Parts of Expressions
1. In the expression 5x + 3, identify each part:
Variable: _____________ Coefficient: _____________ Constant: _____________
2. Circle the correct answer. In the expression 7y - 4, what is the coefficient?
y
7
4
-4
3. Which of these are like terms? (Tick all that apply)
3x and 5x
2y and 4z
7a and -2a
6 and 9
4. In the expression 4a + 2b - 6 + 3a, how many terms are there?
2
3
4
5
✏️ Part 2: Simplifying Expressions
5. Simplify: 6x + 4x
6. Simplify: 8y - 3y + 5
7. Simplify: 2a + 7 + 5a - 3
8. Simplify: 9m - 4m + 6n + 2n
🧠 Part 3: Problem Solving
9. Sarah has x marbles. Tom has 3 times as many marbles as Sarah, plus 5 extra marbles. Write an expression for the total number of marbles Tom has.
10. The temperature in Perth was t°C in the morning. By afternoon, it had increased by 8°C, then dropped by 3°C in the evening. Write a simplified expression for the evening temperature.
11. Explain in your own words: Why is it useful to simplify algebraic expressions?
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