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Math Equations and Problem Solving Activities

Engage in mathematical equations and problem-solving tasks to enhance your skills. Practice signed numbers, factors, and more while having fun learning math concepts.

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Math Equations and Problem Solving Activities

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  1. Signed Numbers More SignedNumbers Even MoreSignedNumbers Write the Equation Grab Bag 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt

  2. 7 + (-9) +15 + (-12) =

  3. 7 + (-9) +15 + (-12) = 1

  4. -4 – (-10) =

  5. -4 – (-10) = 6

  6. y – (y + 6) =

  7. y – (y + 6) = y – y – 6 = -6

  8. (y + 2) subtracted from (y-17) =

  9. (y + 2) subtracted from (y-17) = (y-17) – (y +2) = y - 17 –y – 2 = -19

  10. | -2/5| - |1/5| =

  11. | -2/5| - |1/5| = 2/5 – 1/5 = 1/5

  12. 9(3n-2) =

  13. 9(3n-2) = (9 · 3n) + (9 · -2) = 27 n -18

  14. 3n + 7n – 4n =

  15. 3n + 7n – 4n =6n

  16. 5(y + 3) + 7y =

  17. 5(y + 3) + 7y = 5y + 15 + 7y = 12 y + 15

  18. (-6)(-1)(-7)(-10) =

  19. (-6)(-1)(-7)(-10) = 420

  20. (-4)(25)(-2)(-3) =

  21. (-4)(25)(-2)(-3) = 600

  22. 1 . (-20) = 5

  23. 1 . (-20) = -4 5

  24. -1 . (-45c + 10d) = 5

  25. -1 . (-45c + 10d) = 9c -2d 5

  26. -4 (-x) = 2

  27. -4 ( -x ) = 2x 2

  28. -13 = 12

  29. -13 = -13 . = -26 21 12

  30. -|20| divided by |-4| =

  31. -|20| divided by |-4| =-20 divided by +4 = -5

  32. A rectangle is 3 times as long as it is wide. The perimeter is 48 cm. Find the dimensions. What’s the equation?

  33. A rectangle is 3 times as long as it is wide. The perimeter is 48 cm. Find the dimensions. X = width 3x = length2(3x) + 2x = 486x +2x = 48 or 8x = 48

  34. The sum of 38 and twice a number is 124. What’s the equation?

  35. The sum of 38 and twice a number is 124. 38 + 2x = 124

  36. Find three consecutive integers whose sum is 171. What’s the equation?

  37. Find three consecutive integers whose sum is 171. x+ (x + 1) + (x + 2) = 171 3x + 3 = 171

  38. The perimeter of a rectangle is 300 cm and the width is 50 cm. Find the length. What’s the equation?

  39. The perimeter of a rectangle is 300 cm and the width is 50 cm. Find the length. 2 L + 2 w = p2 L + 2 · 50 = 3002L + 100 = 300

  40. Find a number that is 96 greater than its opposite. What’s the equation?

  41. Find a number that is 96 greater than its opposite. x = -x + 96or 2x = 96

  42. 2x x What’s the equation for the perimeter of this rectangle.

  43. 2x x 2x + 2(2x) = 482x +4x = 486x = 48 Perimeter = 48 What’s the equation for the perimeter of this rectangle?

  44. List all the factors of 48.

  45. List all the factors of 48. 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

  46. List the prime factors of 48.

  47. List the prime factors of 48. 4 · 122 · 2 4 · 3 2 · 2 · 32 · 2 · 2 · 2 · 3

  48. Factor 5x2 + 10x

  49. Factor 5x2 + 10x 5x(x + 2)

  50. Factor 4x3 + 10x2 – 6x2x

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