Year 7 Algebra Cheat Sheet
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Year 7 Algebra Cheat Sheet
📚 Key Algebra Definitions & Rules
• Replace the variable with the given number
• Follow order of operations (BODMAS)
• Example: If x = 4, then 2x + 3 = 2(4) + 3 = 8 + 3 = 11
• Collect like terms: 5x + 3x = 8x
• Only add/subtract coefficients of like terms
• Example: 4a + 2b - a + 3b = 3a + 5b
🔧 Expanding & Factorising
• Multiply everything inside the brackets by the term outside
• Example: 3(x + 4) = 3x + 12
• Example: -2(3y - 5) = -6y + 10
• Find the highest common factor (HCF) of all terms
• Take out the HCF as a common factor
• Example: 6x + 9 = 3(2x + 3)
• Example: 12a - 8b = 4(3a - 2b)
• List factors of each number
• Find the largest factor that divides into all numbers
• Example: HCF of 12 and 18 is 6
✏️ Practice Problems
About This Worksheet
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