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Year 10 Algebra Scaffolding
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Year 10 Algebra Scaffolding
📚 Part 1: Basic Algebraic Expressions
1. Which of the following is a coefficient in the expression 5x + 3y - 7?
x
5
3y
-7
2. Simplify: 4x + 2x - x
Answer: ___________
3. Expand: 3(x + 4)
4. Collect like terms: 7a + 3b - 2a + 5b
Answer: ___________________
🔍 Part 2: Solving Linear Equations
5. Solve for x: x + 7 = 15
6. Solve for y: 3y = 21
y = ___________
7. Solve for x: 2x - 5 = 11
8. Which value of x satisfies the equation 4x + 3 = 19?
x = 3
x = 4
x = 5
x = 6
🧮 Part 3: Factoring and Word Problems
9. Factorise: x² + 5x + 6
10. A rectangle has a length of (x + 4) metres and a width of (x - 2) metres. If the perimeter is 24 metres, find the value of x.
11. Sarah buys x apples at $2 each and (x + 3) oranges at $1.50 each. Her total cost is $18. Write an equation to represent this situation.
12. Solve the equation you wrote in question 11 to find how many apples Sarah bought.
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