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Algebraic Concepts: Simplify, Solve Equations & Manipulation

Learn how to simplify expressions, solve linear equations, and manipulate algebraic formulas. Practice problems included.

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Algebraic Concepts: Simplify, Solve Equations & Manipulation

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  1. Unit 22Algebraic Concepts

  2. Unit 22Algebraic Concepts 22.1 Simplifying Expressions

  3. Simplify: Remove the brackets: Simplify: ? ? ? ? ? ? ? ? ? ? ? ?

  4. Unit 22Algebraic Concepts 22.2 Simple Equations

  5. Solve: (a) (b) (c) (a) (b) (c) ? ? ? ? ? ? ? ? ? ? ? ?

  6. Unit 22Algebraic Concepts 22.3 Linear Equations 1

  7. Solve: (b) (a) (a) (b) ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ?

  8. Unit 22Algebraic Concepts 22.4 Linear Equations 2

  9. Solve: ? ? ? ? ? ? ? ? ? ? ?

  10. Unit 22Algebraic Concepts 22.5 Equations in Context

  11. 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 ? ? ? ? ? ? ? ? ? ? ? ?

  12. Unit 22Algebraic Concepts 22.6 Algebraic Manipulation 1

  13. Solution Multiply both sides by (w - x) to give Problem Make x the subject of the formula ? ? ? ? ? ? ?

  14. Unit 22Algebraic Concepts 22.7 Algebraic Manipulation 2

  15. Solution Square both sides to give Problem Make x the subject of the formula ? ? ? ? ? ? ? ?

  16. Unit 22Algebraic Concepts 22.8 Algebraic Fractions

  17. Simplify: ? ? ? ? ? ? ? ? ? ? ? ?

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