Year 7 Algebra Worksheet
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Year 7 Algebra Worksheet
📚 Part 1: Multiple Choice
✏️ Part 2: Short Answers & Working
✅ Answers & Worked Demonstrations
Demonstration: 3x + 4x = (3 + 4)x = 7x.
Demonstration: 4x − 3 with x = 2 → 4(2) − 3 = 8 − 3 = 5.
Demonstration: 2(x + 3) = 2×x + 2×3 = 2x + 6.
Demonstration: Linear equations have variables to the power of 1 and no products of variables. x^2 + 2 is quadratic; xy = 6 is not linear.
Demonstration: 2x + 5 = 17 → 2x = 12 → x = 6.
Demonstration: 3 runs per week × r km per run = 3r km per week. Over 4 weeks: 4 × 3r = 12r.
Demonstration: 5a − 2b = 5(3) − 2(4) = 15 − 8 = 7.
Demonstration: 3(x − 2) = 9 → x − 2 = 3 → x = 5.
Demonstration: 2n + 7 = 19 → 2n = 12 → n = 6.
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