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Solving Linear Equations and Triangle Angles: A Comprehensive Guide

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This resource focuses on constructing and solving equations based on various mathematical scenarios. Covering operations such as multiplication, addition, division, and subtraction, it provides multiple examples where a number is manipulated to yield a specific result. Additionally, it includes examples related to determining the angles of triangles and quadrilaterals through algebraic equations. Perfect for students looking to reinforce their understanding of algebra and geometry through practical applications, this guide emphasizes the step-by-step process of solving equations and finding unknowns.

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Solving Linear Equations and Triangle Angles: A Comprehensive Guide

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  1. 8 2

  2. I think of a number. I multiply it by 5 then add 4. The result is 39. Construct an equation and find the number. I think of a number. I multiply it by 3 then subtract 6. The result is 15. Construct an equation and find the number. I think of a number. I multiply it by 10 then add 9. The result is 25. Construct an equation and find the number. I think of a number. I divide it by 3 then add 7. The result is 10. Construct an equation and find the number. I think of a number. I divide it by 5 then subtract 5. The result is 13. Construct an equation and find the number. The sizes of the angles of a triangle are x, x + 10 and x + 20. Construct an equation and find the size of the angles. The sizes of the angles of a quadrilateral are z, z + 15, z + 40 and z - 10. Construct an equation and find the size of the angles. All Most Some

  3. Plenary Solve the equations: All I think of a number. I multiply it by 5 then add 4. The result is 29. Construct an equation and find the number. I think of a number. I divide it by 4then add 11. The result is 20. Construct an equation and find the number. The sizes of the angles of a triangle are x, x + 30 and x + 60. Construct an equation and find the size of the angles. Most Some

  4. All Most

  5. All Most Some

  6. Plenary 3 ( 5x – 2 ) = 24 18 = 2 ( 3 – 2x ) 4 ( 2x + 3 ) = 5 ( x + 4 ) All Most Some

  7. 9 1

  8. Solving equations all Solve the equations: most Solve the equations: some Solve the equations:

  9. 1 2 3

  10. Plenary Solve the equations: All Most Some

  11. all Solve the equations: most Solve the equations: some Solve the equations:

  12. Plenary All Solve the equations: Most Solve the equations: Some Solve the equations:

  13. 10 1

  14. all Solve the equations: most Solve the equations: some Solve the equations:

  15. Plenary All Solve the equations: Most 3x + 4y = 6 2x = 4y + 8 Solve the equations: Some Solve the equations:

  16. Solve the equations: all most Solve the equations: some Solve the equations:

  17. Plenary All Solve the equations: Most Solve the equations: Some Solve the equations:

  18. All Most Some

  19. Plenary All Solve the equations: Most Solve the equations: Some Solve the equations:

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