Algebraic volume density property of affine algebraic manifolds}, Inventiones Math
Math unit22 algebraic concepts
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Unit 22 Algebraic Concepts Presentation 1 Simplifying Expressi ons Presentation 2 Simple Equations Presentation 3 Linear Equations 1 Presentation 4 Linear Equations 2 Presentation 5 Equations in Context Presentation 6 Algebraic Manipulati on 1 Presentation 7 Algebraic Manipulati on 2 Presentation 8 Algebraic Fractions
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Transcript of Math unit22 algebraic concepts
Unit 22Algebraic Concepts
Presentation 1 Simplifying Expressions
Presentation 2 Simple Equations
Presentation 3 Linear Equations 1
Presentation 4 Linear Equations 2
Presentation 5 Equations in Context
Presentation 6 Algebraic Manipulation 1
Presentation 7 Algebraic Manipulation 2
Presentation 8 Algebraic Fractions
Unit 22Algebraic Concepts
22.1 Simplifying Expressions
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Simplify:
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Remove the brackets:
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Simplify:
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Unit 22Algebraic Concepts
22.2 Simple Equations
Solve:
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(a)(b)(c)
(c)(b)(a)
Unit 22Algebraic Concepts
22.3 Linear Equations 1
Solve:
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(b)(a)
(a) (b)
Unit 22Algebraic Concepts
22.4 Linear Equations 2
Solve:
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Unit 22Algebraic Concepts
22.5 Equations in Context
ProblemArianne, Jovan and Kemesha were playing a card game.Arianne scored x points.Jovan scored 3 points fewer than Arianne.Kemesha scored twice as many points as Jovan.Together they scored 39 points.How many points did Arianne score?SolutionPoints scored by JovanPoints scored by KemeshaTotal points scored
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Unit 22Algebraic Concepts22.6 Algebraic Manipulation 1
Solution
Multiply both sides by (w - x) to give
Problem
Make x the subject of the formula
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Unit 22Algebraic Concepts22.7 Algebraic Manipulation 2
Problem
Make x the subject of the formula
Solution
Square both sides to give
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Unit 22Algebraic Concepts
22.8 Algebraic Fractions
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Simplify:
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