Solving Equations with the Bar Method - Practice Problems and Solutions

Practice solving one-step, two-step, and balancing equations using the bar method with a series of interactive examples. Enhance your understanding of algebraic concepts through visual representation and step-by-step solutions.

• Solving Equations
• Bar Method
• Algebra
• Practice Problems
• Interactive Examples

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1. Thursday, 10 October 2024 CW Solving Equations with Solving Equations with the Bar Method the Bar Method Starter

2. Thursday, 10 October 2024 Solving Equations with Solving Equations with the Bar Method the Bar Method VALUE OF A FUNCTION

3. One Step Equations

4. What is the value of ?? ? + 5 = 20 ? 5 20

5. What is the value of ?? ? 25 = 35 ? 25 35

6. Can you represent these using a bar method. What is the value of ?? ? 6 = 18 ? + 25 = 35 ? 25 ? 6 35 18 10 = ? 2 10 = ? + 8 ? 8 ? 2 10 10 10 = 20 ? ?? 80 + ? = 60 80 ? 10 60 ?

7. What is the value of ?? 2? = 28 ? ? 28

8. What is the value of ?? ? 4 = 6 ? 6 6 6 6

9. Can you represent these using a bar method. What is the value of ?? 18 ? = 3 5? = 35 ? ? ? ? ? ? ? ? ?? 35 ? 4 = 5 80 = 10? ? ?? ? ?? ? ?? ? ?? 5 ? ? ? ? ? ? ? ? ? ? 5 5 5 80

10. Two Step Equations

11. What is the value of ?? 2? + 3 = 23 ? ? ? ?? 3 ? ? ?? 2 ? ? = 10 ??

12. What is the value of ?? 3? + 6 = 27 ? ? ? ? ?? 6 ? ? ? ?? 3 ? ? = 7 ?

15. Two Step Equations (and balancing)

16. What is the value of ?? 3? + 10 = 34 3? + 10 = 34 3? ?? 10 10 ?? 10 3? = 24 3 3 3? ? = 8 ?? 3 ? ? = 8 ?

17. What is the value of ?? 4? + 2 = 20 4? + 2 = 20 4? ? 2 2 ?? 2 4? = 18 4 4 4? ? = 4.5 ?? 2 ? ? = 4.5 ?.?

19. What is the value of ?? 2? 4 = 6 ?? 2? 4 = 6 ? +4 +4 ? +4 2? = 10 ?? 2 2 ? = 5 ? ? 2 ? ? = 5 ?

21. What is the value of ?? ? 5+ 2 = 6 ? 5+ 2 = 6 ? ?? ? 6 2 2 ? 5= 4 2 ? ?? 4 5 5 ? = 20 5 ? ?? 4 ? ?? ? ?? ? ?? ? ?? 4 4 4 4 ? = 20

22. Equations with unknowns on both sides

23. What is the value of ?? 3? + 7 = ? + 13 ? ? ? ? ? ?? ? ? ? ? ?? 7 ? ? ? 2 ? ? = 3 ?

24. What is the value of ?? 4? + 5 = 2? + 23 ? ? ? ? ? ? ? ?? 2? ? ? ? ?? 5 ? ? ?? ? = 9 2 ? ?

25. What is the value of ?? 4? + 5 = 2? + 23 ? ? ? ? ? ? ? ?? 2? ? ? ? ?? 5 ? ? ?? ? = 9 2 ? ?

27. What is the value of ?? 3? + 2 = ? + 12 ? ? ? ? ? ?? ? ? ? ? 3? + 2 = ? + 12 ? ?? 2 2 ? ? 2? + 2 = 12 2 2? = 10 2 ? = 5 ?? 2 2 ? 2 ? = 5 ?

28. What is the value of ?? 5? + 6 = 2? + 36 ? ? ? ? ? ? ? ?? ? 2? ? ? ? ? 5? + 6 = 2? + 36 2? ?? 6 2? ? ? ? 3? + 6 = 36 6 3? = 30 3 ? = 10 ?? 6 3 ? 3 ? = 10 1?

30. What is the value of ?? 4? 11 = 2? + 15 4? ?? ? ? ?? 2? 2? 4? 11 = 2? + 15 2? ?? 2? ?? +11 2? 11 = 15 +11 2? = 26 2 ? = 13 ? ? +11 ?? ?? 2 2 ? ? = 13 ??