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Math Equations and Ratios Challenge

Test your skills in solving multi-step equations, proportions, and percent changes. Translate sentences into equations and vice versa. Find discounts, total prices, and solve for specific variables.

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Math Equations and Ratios Challenge

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  1. JEOPARDY

  2. Writing Equations Solving Multi-step Equations Ratios and Proportions Percent of Change Solving for a Specific Variable 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

  3. Translate the equation into a verbal sentence. 8 + 7x = 22

  4. Answers may vary:8 plus the product of 7 and x is 22.

  5. Translate the sentence into an equation. The sum of one-third a number and 25 is as much as twice the number.

  6. Sample Answer:

  7. Translate the sentence into an equation. Two times z is equal to two times the sum of v and w.

  8. Sample answer:2z = 2(v + w)

  9. Translate the equation into a verbal sentence.

  10. Sample answer:x squared plus seventeen equals 53 minus y.

  11. Translate the sentence into an equation. The quotient of x and forty is the same as twelve minus half of y.

  12. Sample answer:

  13. Solve2x – 3 = 3x - 9

  14. X = 6

  15. Solve-8(x – 20) = -96

  16. x = 32

  17. Solve3(a + 4) = 2a - 1

  18. A = -13

  19. Solve-8(x – 15) = -96 – 4x

  20. X = 54

  21. Solve(3/4)x – 9 = (1/4)x - 1

  22. X = 16

  23. Determine whether each pair of ratios forms a proportion.

  24. NO

  25. Solve

  26. x = 20

  27. Solve

  28. x = 18

  29. Solve

  30. x =

  31. Solve

  32. y = 2

  33. Percent of increase or decrease? Then find % of change.Original: 72New: 36

  34. 50% Decrease

  35. Percent of increase or decrease? Then find % of change.Original: $85New: $90

  36. 6% Increase

  37. Find the total price of each item.Backpack: $35.00Tax: 7%

  38. $37.45

  39. Find the discounted price of each item.Watch: $37.55Discount: 35%

  40. $24.41

  41. Find the final price of each item.Dress: $70.00Discount: 30%Tax: 7%

  42. $52.43

  43. Solve for the specified variable.-3x + y = 6x, for x

  44. x =

  45. Solve for the specified variable. , for y

  46. y = 3c - a

  47. Solve for the specified variable. , for y

  48. Solve for the specified variable.4(c + 3) = t, for c

  49. c =

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