Discussion 2

Discussion – Equations

Background

Algebracreates a system for solving problems by using a variable (x, y, a,etc.) to represent something unknown that you need to find and settingup the problem in the form of an equation. Some of the mathematicalproblems you might solve in daily life include halving or doublingrecipes, planning construction projects, or finding patterns in thenatural world. These problems may not require a formal algebraicequation; however, learning a method or process for solving problemsusing Algebra becomes more important as problems become more complex.Watch the Khan Academy Video: The Beauty of Algebra (Links to an external site.).

Beyond simply performing calculations,the skills that can be learned in the class include critical thinking,problem solving, logic and reasoning, analyzing, decision making, andprofessionalism. Being proficient in mathematical skills may open thedoor to greater opportunities in your field.
Prompt

Choose one of the problems listed below that covers week 2 concepts (equations and inequalities) and reply.

NOTE: No more than 1 studentshould respond to each problem as your initial post. The first studentto post will get credit. If a student has already responded, you willneed to choose a different problem.

Initial Post

1) Solve the problem and showeach step you took to find the answer. Check your answer. In paragraphstructure, explain each step in your own words.

2) Research and write a shortparagraph (100 + words) regarding the application of equations to yourprogram of study. Find a particular equation used in your program (Ex:an equation to calculate oxygen levels on a respirator). Discuss howstudying algebra can help you in your future career. If you arecurrently working in your field, share your personal experience usingequations. Include at least one IWG-style reference.

Problems

• Solve the equation:

1. x + 2 = 9
2. x + 11 = 3
3. x – 8 = 4
4. x – 5 = 7
5. c – 0.4 = 0.9
6. 0.75 + n = 2
7. 4 – x = 8
8. 9 + b = 13
9. 2x + 1 = 13
10. 4x = 12
11. 3x – 4 = 17
12. 2x – 3 = 15
13. 5x – 6 = 19
14. 4 – 6x = 28
15. 8x – 3 = 10
16. 3x + 4 = 12
17. 2x + 5 + 4x = 35
18. 7x + 3 – 4x = 24
19. 13x – 5 – 8x = 25
20. 4x + 10 = 6x
21. 3x – 4 = 2x
22. 8x – 5 – 6x = 23
23. 11x – 5 = 45
24. 3x + 7 = 19
25. 3(x + 2) = 9
26. 4(x – 5) = 32
27. 7(x – 3) = 28
28. 6(x – 3) = 7(x + 5)
29. 2(x – 7) = 4( x – 4)
30. 8(x – 2) = 8

• Solve the inequality:

31. x – 5 > 8

32. x + 4 < 7

33. 3x > 12

34. 6x < 18

35. -5x < 25

36. 3x – 5 < 19

37. 2x + 5 > 15

38. 4x – 7 < 17

39. -7x > -21

40. 11x > 44

To receive full credit for your initial post, complete all of the steps. Remember to label your initial post with your name and problem number (Ex: Stringer Problem #34).