Unit 22
Algebraic 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 22
Algebraic 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 22
Algebraic Concepts
22.2 Simple Equations
Solve:
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(a)(b)(c)
(c)(b)(a)
Unit 22
Algebraic Concepts
22.3 Linear Equations 1
Solve:
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(b)(a)
(a) (b)
Unit 22
Algebraic Concepts
22.4 Linear Equations 2
Solve:
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Unit 22
Algebraic Concepts
22.5 Equations in Context
Problem
Arianne, 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?
Solution
Points scored by Jovan
Points scored by Kemesha
Total points scored
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Unit 22
Algebraic Concepts
22.6 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 22
Algebraic Concepts
22.7 Algebraic Manipulation 2
Problem
Make x the subject of the formula
Solution
Square both sides to give
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Unit 22
Algebraic Concepts
22.8 Algebraic Fractions
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Simplify:
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Math unit22 algebraic concepts