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Letters and Symbols Practice

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Letters and Symbols Practice

Mathematical letters and symbols

📚 Understanding Letters and Symbols

What are algebraic expressions?

In mathematics, we use letters (like x, y, a, b) to represent unknown numbers or variables. We combine these with numbers and mathematical symbols to create expressions.

Example 1: Writing expressions

• "5 more than a number x" = x + 5

• "3 times a number y" = 3y (we don't need to write 3 × y)

• "A number n decreased by 7" = n - 7

Example 2: Substituting values

If x = 4, find the value of 2x + 3:

Step 1: Replace x with 4 → 2(4) + 3

Step 2: Calculate → 8 + 3 = 11

Example 3: Simplifying expressions

Simplify: 3x + 2x + 5

Step 1: Collect like terms → (3x + 2x) + 5

Step 2: Add the x terms → 5x + 5

✏️ Practice Questions

1. Write an expression for "6 more than a number p":
2. Write an expression for "4 times a number m":
3. If x = 3, find the value of x + 8:
4. If y = 5, find the value of 2y:
5. Simplify: 4a + 3a
6. Simplify: 5x + 2 + 3x

🎯 Challenge Problems

7. If n = 6, find the value of 3n - 4:
8. Write an expression for "A number t decreased by 9":
9. Simplify: 7p + 2q + 3p + q
10. If a = 2 and b = 7, find the value of a + b + 5:

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