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Example: Mark thinks of an number He subtracts 3 His answer is 12 What was the number he thought of? The unknown quantity is the number he started with. Let that be n Construct an expression: subtract 3 n-3 Form an equation: the answer is 12 n-3=12 Solve the equation: the opposite to - is + n=12+3 n+15 Check the answer: 15-3=12 Mark thought of 15!
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Example One angel of an isosceles triangle is 1100 What are the other two angles? The unknown quantity is the size of the equal angles. Let each angle be a Construct an expression the angle sum: a+a+1100 Simplify the expression: 2a+1100 Form an equation: angle sum is a+1100=1800 Solve the equation: a= 2a=70 a=70/2 a= 350
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Try this: Sean thinks of a number, halves it and ands 8. The answer is 20. What was the number?
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