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Year 7 Algebra Worksheet
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Year 7 Algebra Worksheet
📚 Part 1: Definitions and Multiple Choice
1. What is a coefficient?
The number in front of a variable
The letter in an expression
The answer to an equation
A type of bracket
2. In the expression 5x + 3y - 7, identify the coefficient of y:
5
3
7
y
3. Which of the following are like terms? (Select all that apply)
3x and 7x
4y and 2z
-2a and 5a
8 and 12
4. What does HCF stand for?
🔢 Part 2: Substitution and Simplification
5. If x = 4, find the value of 3x + 7
6. If a = -2 and b = 5, calculate a² + 3b
7. Simplify: 6x + 2x - 4x
8. Simplify: 3a + 5b - a + 2b
9. Expand: 4(x + 3)
10. Expand: -2(3y - 5)
🧮 Part 3: Problem Solving
11. Find the HCF of 12x and 18x²
12. Factorise: 15a + 10b
13. A rectangle has length (x + 4) metres and width 3 metres. Write an expression for its perimeter.
14. Sarah buys x apples at $2 each and 3 bananas at $1.50 each. Write an expression for the total cost in dollars.
15. If the temperature increases by 5°C each hour for h hours, and starts at 12°C, write an expression for the final temperature.
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