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Algebraic Expressions Building Blocks
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Algebraic Expressions Building Blocks
📚 Part 1: Identifying Building Blocks
1. In the expression 5x + 3, identify the constant:
5
x
3
+
2. Which of these are variables? (Select all that apply)
a
7
y
m
3. In the expression 4a - 2b + 9, what are the operators?
4, 2, 9
a, b
-, +
4a, 2b
4. Circle the like terms in this expression: 3x + 7y - 2x + 5 + 4y
3x + 7y - 2x + 5 + 4y
✏️ Part 2: Creating and Simplifying Expressions
5. Write an algebraic expression for: "A number multiplied by 6, then subtract 4"
Expression: ________________
6. Sarah buys x pencils at $2 each and y erasers at $3 each. Write an expression for the total cost.
7. Simplify the following expressions by combining like terms:
a) 5x + 3x - 2 = ________________
b) 7a - 4a + 6b + 2b = ________________
c) 9 + 4m - 3 + 2m = ________________
8. A rectangle has length (2x + 5) metres and width (x - 1) metres. Write a simplified expression for the perimeter.
🤔 Part 3: Understanding Algebra
9. Create your own word problem that can be solved using an algebraic expression. Then write the expression.
Word Problem:
Algebraic Expression: ________________
10. Explain in 2-3 sentences why algebraic expressions are useful in mathematics and everyday life.
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