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Understanding Linear Equations and Applications in Real Life

This resource covers various aspects of linear equations, including finding the equation of a line, determining slope, and applying these concepts to real-world problems. Topics include revenue equations based on sales, calculating earnings from hourly wages, and graphical representation of lines. Exercises challenge learners to apply these concepts and develop problem-solving skills in algebra, with scenarios like selling products and calculating commissions. Ideal for students looking to reinforce their understanding of algebra and its applications.

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Understanding Linear Equations and Applications in Real Life

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  1. $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500

  2. Algebra

  3. Find the equation of the line.

  4. Graph

  5. Application of the line.

  6. More application

  7. Find the equation of the line. Algebra Application of the line. More application Graph $ $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500

  8. CATEGORY 1 - $100 2 + x = -3

  9. CATEGORY 1 - $200 -4x = 16

  10. CATEGORY 1 - $300

  11. 3x + 9 = 4x - 5 CATEGORY 1 - $400

  12. CATEGORY 1 - $500 3x - 2 = 4x - 2 + 2

  13. Find the slope of the line that has a rise of 20, and a run of -5. CATEGORY 2 - $100

  14. Find the equation of the line that has a slope of -5 and has a y-intercept of 4. CATEGORY 2 - $200

  15. Find the equation of the line that has a slope of passes goes through (-3,-4). CATEGORY 2 - $300

  16. State the slope and point with the following equations.1. y = -2(x - 5) +72. y = 3(x + 4) +2 CATEGORY 2 - $400

  17. Find the equation of the line That passes through (-3,-4), and (-6,-7). Write in the form y = m(x-p) +q [Hint find the slope first.] CATEGORY 2 - $500

  18. CATEGORY 3 - $100 Graph: y= 3x+1

  19. CATEGORY 3 - $200 Graph: y= (x -1) -3

  20. CATEGORY 3 - $300 Graph: y= -2 (x + 1) + 3

  21. CATEGORY 3 - $400 Graph: x = -1 x = 5 and complete the following statement. These lines are __________.

  22. CATEGORY 3 - $500 Graph: x = 3 y = -1 and complete the following statement. These lines are __________.

  23. Write a short story for the following Graph? Distance time CATEGORY 4 - $100

  24. Maninder wants to earn extra money selling hot chocolate. It cost him $12.00 to make the hot chocolate. He can charge $0.60 per drink. The revenue equations is: r = 0.60 d - 12 , d -drinksa) How much would he make if he sells 30 drinks? CATEGORY 4 - $200

  25. CATEGORY 4 - $300 Maninder wants to earn extra money selling hot chocolate. It cost him $12.00 to make the hot chocolate. He can charge $0.60 per drink. The revenue equations is: r = 0.60 d - 12 , d -drinksa) How many drinks did he sell if he made $9?

  26. CATEGORY 4 - $400 Aziza works for a computer store and earns $400 weekly plus 3% commission on the items she sells. Her salary(Earning) equations is: e = 0.03s +400, s- sales and e- earninga) How much would she make if she sold $1200 worth of items?

  27. CATEGORY 4 - $500 Aziza works for a computer store and earns $400 weekly plus 3% commission on the items she sells. Her salary(Earning) equations is: e = 0.03s +400, s- sales and e- earningb) How much did she sell if she made $700 for her weekly earnings?

  28. Find the point of intersection by graphing for:1. Y= 4x-52. Y=2x + 1 CATEGORY 5 - $100

  29. CATEGORY 5 - $200 Liz works for a company that pays their employee time and a half after 40hours. She earns $20/hour. How much would she make if she worked 50 hours.

  30. CATEGORY 5 - $300 Johnny works for a bank that pays their employee double time after 40hours per week. He earns $15/hour. How much would she make if she worked 45 hours.

  31. Abhinav wants to earn extra money selling hot chocolate. His set-up will cost him $12.00. But he can charge $1.30 per drink. Find the revenue equation? CATEGORY 5 - $400

  32. State the difference between double time and time and a half? CATEGORY 5 - $500

  33. CATEGORY 1 - $100 Answer x = 5 $

  34. CATEGORY 1 - $200 Answer x = -4 $

  35. CATEGORY 1 - $300 Answer t = -14 $

  36. CATEGORY 1 - $400 Answer x = 14 $

  37. CATEGORY 1 - $500 Answer 3x - 2 = 4x - 2 +2 3x - 4x = 2 - 2 +2 -x = 2 - x = 2 x = - 2 $

  38. CATEGORY 2 - $100 Answer m = -3 b=-21 Y = -3x -21 $

  39. CATEGORY 2 - $200 Answer y = -5x + 4 $

  40. CATEGORY 2 - $300 Answer y = -2/3 (x+3) - 4 $

  41. CATEGORY 2 - $400 Answer 1. m = -2 pt. (5,7) 2. m = 3 pt. (-4,2) $

  42. CATEGORY 2 - $500 Answer y = (2/3) (x + 3) - 4 or y = (2/3) (x + 6) - 7 $

  43. CATEGORY 3 - $100 Answer m =3 y-intercept =1 $

  44. CATEGORY 3 - $200 Answer (1,-3) $

  45. CATEGORY 3 - $300 Answer (1,3) $

  46. CATEGORY 3 - $400 Answer These lines are parallel. $

  47. CATEGORY 3 - $500 Answer These lines are perpendicular. $

  48. CATEGORY 4 - $100 Answer • Answers may vary, but they should include: • Someone going somewhere • Staying/ Waiting a while • going somewhere else $

  49. CATEGORY 4 - $200 Answer r = 0.6(30) - 12 r = $6 Therefore he would make $6. $

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