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Year 7 Algebra Practice

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Year 7 Algebra Practice

Algebra symbols and equations

📚 Part 1: Key Definitions & Multiple Choice

Key Terms:

Variable: A letter or symbol that represents an unknown number (e.g., x, y, n)

Expression: A mathematical phrase containing numbers, variables and operations (e.g., 3x + 5)

Equation: A mathematical statement showing two expressions are equal (e.g., 3x + 5 = 17)

Term: A single number, variable, or number multiplied by variables (e.g., 7, x, 4y)

Formula: An equation that shows the relationship between variables (e.g., A = l × w)

1. Which of the following is a variable?

15

x

+

3.5

2. Which is an equation?

4x + 7

2y - 3 = 11

5n

x + y + z

3. How many terms are in the expression 5x + 3y - 8?

2

3

4

5

4. Which represents the formula for the perimeter of a rectangle?

P = l + w

P = 2l + 2w

P = l × w

P = 2(l × w)

✏️ Part 2: Writing Expressions & Formulas

5. Write an expression for "5 more than a number n":
6. Write an expression for "3 times a number x, minus 7":
7. Write a formula for the cost (C) of buying n pencils at $2 each:
8. If a rectangle has length l and width w, write a formula for its area (A):
9. Simplify the expression: 4x + 3x - 2x
10. Simplify: 7y + 5 - 2y + 3

🔧 Part 3: Solving Equations

11. Solve for x: x + 8 = 15
12. Solve for y: 3y = 21
13. Solve for n: 2n + 5 = 17
14. If the perimeter of a square is 24 cm and P = 4s (where s is the side length), find the length of one side:

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