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Algebraic Equations Challenge Quiz

Test your algebra skills with a series of questions ranging from expanding and simplifying to solving equations and finding gradients. Can you answer them all correctly?

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Algebraic Equations Challenge Quiz

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  1. Who Wants To Be A Millionaire? Algebra

  2. Question 1

  3. Expand and Simplify 3(2m +1) – 2(2m - 3) A 10m - 3 B 2m - 3 C 10m + 9 D 2m + 9

  4. Expand and Simplify 3(2m +1) – 2(2m - 3) A 10m - 3 B 2m - 3 C 10m + 9 D 2m + 9

  5. £100

  6. Question 2

  7. Factorise completely4pq – 8q A q(4p – 8) B 8q(0.5p – 1) C 4q(p – 2) D 4(pq – 2q)

  8. Factorise completely4pq – 8q A q(4p – 8) B 8q(0.5p – 1) C 4q(p – 2) D 4(pq – 2q)

  9. £200

  10. Question 3

  11. Solve5(3 – 2m) – 7 = 13 A -0.5 B -2.1 C 0.5 D 2.1

  12. Solve5(3 – 2m) – 7 = 13 A -0.5 B -2.1 C 0.5 D 2.1

  13. £300

  14. Question 4

  15. What is the gradient of this line? A 0.5 B -0.5 C 2 D -2

  16. What is the gradient of this line? A 0.5 B -0.5 C 2 D -2

  17. £500

  18. Question 5

  19. Solve this inequalityn – 5 > 2(n – 7) A n < 9 B n > 9 C n > 2 D n < 2

  20. Solve this inequalityn – 5 > 2(n – 7) A n < 9 B n > 9 C n > 2 D n < 2

  21. £1,000

  22. Question 6

  23. What are the next 3 terms:1, 3, 6, 10, … A 14, 18, 22 B 15, 21, 28 C 11, 13, 16 D none of the above

  24. What are the next 3 terms:1, 3, 6, 10, … A 14, 18, 22 B 15, 21, 28 C 11, 13, 16 D none of the above

  25. £2,000

  26. Question 7

  27. Make q the subject ofp2 = q2 + r2 A q = p - r B q = √(r2 – p2) C q = r - p D q = √(p2 – r2)

  28. Make q the subject ofp2 = q2 + r2 A q = p - r B q = √(r2 – p2) C q = r - p D q = √(p2 – r2)

  29. £4,000

  30. Question 8

  31. What is the equation of this graph? A y = -3x + 2 B y = 2x - 3 C y = 3x - 2 D y = -2x + 3

  32. What is the equation of this graph? A y = -3x + 2 B y = 2x - 3 C y = 3x - 2 D y = -2x + 3

  33. £8,000

  34. Question 9

  35. Solve5c – 2(4c – 9) = 5 + 5(2 – c) A -1.5 B 1.5 C 16.5 D -16.5

  36. Solve5c – 2(4c – 9) = 5 + 5(2 – c) A -1.5 B 1.5 C 16.5 D -16.5

  37. £16,000

  38. Question 10

  39. Expand and Simplify(3x – 2)(x + 6) A 3x2 – 12 B 3x2 + 8x – 12 C 3x2 + 16x – 12 D 3x2 + 4x – 12

  40. Expand and Simplify(3x – 2)(x + 6) A 3x2 – 12 B 3x2 + 8x – 12 C 3x2 + 16x – 12 D 3x2 + 4x – 12

  41. £32,000

  42. Question 11

  43. What is the nth term for the sequence 5, 9, 13, 17, …? A 5n + 4 B 4n + 1 C n + 4 D none of the above

  44. What is the nth term for the sequence 5, 9, 13, 17, …? A 5n + 4 B 4n + 1 C n + 4 D none of the above

  45. £64,000

  46. Question 12

  47. A x = a / b B x = ab C x = 0.5ab D x = √(ab)

  48. A x = a / b B x = ab C x = 0.5ab D x = √(ab)

  49. £125,000

  50. Question 13

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