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Write an equation from a real-world situation

Year 8 maths · Fieldbook Learning

Name ______________________ Date __________

In y = mx + b, b is the starting amount and m is the change each period.

  1. A jar holds 49 coins and 7 more coins are added each week. Write an equation for the amount y after x time periods, in the form y = mx + b.
  2. A jar holds 5 coins and 5 more coins are added each week. Write an equation for the amount y after x time periods, in the form y = mx + b.
  3. A hiker is 8 km from camp and walks toward it at 4 km every hour. Write an equation for the amount y after x time periods, in the form y = mx + b.
  4. A candle is 49 cm tall and burns down 5 cm every hour. Write an equation for the amount y after x time periods, in the form y = mx + b.
  5. A hiker is 5 km from camp and walks toward it at 4 km every hour. Write an equation for the amount y after x time periods, in the form y = mx + b.
  6. A pool holds 33 L of water and a hose adds 2 L every minute. Write an equation for the amount y after x time periods, in the form y = mx + b.
  7. A jar holds 12 coins and 2 more coins are added each week. Write an equation for the amount y after x time periods, in the form y = mx + b.
  8. A jar holds 70 coins and 2 more coins are added each week. Write an equation for the amount y after x time periods, in the form y = mx + b.
  9. A jar holds 35 coins and 3 more coins are added each week. Write an equation for the amount y after x time periods, in the form y = mx + b.
  10. A jar holds 63 coins and 11 more coins are added each week. Write an equation for the amount y after x time periods, in the form y = mx + b.
  11. A hiker is 70 km from camp and walks toward it at 6 km every hour. Write an equation for the amount y after x time periods, in the form y = mx + b.
  12. A candle is 85 cm tall and burns down 3 cm every hour. Write an equation for the amount y after x time periods, in the form y = mx + b.
  13. A jar holds 66 coins and 14 more coins are added each week. Write an equation for the amount y after x time periods, in the form y = mx + b.
  14. A candle is 100 cm tall and burns down 16 cm every hour. Write an equation for the amount y after x time periods, in the form y = mx + b.
  15. A pool holds 146 L of water and a hose adds 16 L every minute. Write an equation for the amount y after x time periods, in the form y = mx + b.
  16. A candle is 79 cm tall and burns down 7 cm every hour. Write an equation for the amount y after x time periods, in the form y = mx + b.
  17. A jar holds 167 coins and 8 more coins are added each week. Write an equation for the amount y after x time periods, in the form y = mx + b.
  18. A candle is 141 cm tall and burns down 19 cm every hour. Write an equation for the amount y after x time periods, in the form y = mx + b.
  19. A jar holds 75 coins and 3 more coins are added each week. Write an equation for the amount y after x time periods, in the form y = mx + b.
  20. A pool holds 38 L of water and a hose adds 21 L every minute. Write an equation for the amount y after x time periods, in the form y = mx + b.
More free practice: fieldbooklearning.com/au/practice/year-8/write-an-equation-from-a-real-world-situation/

Answer key: Write an equation from a real-world situation

  1. y = 7x + 49
  2. y = 5x + 5
  3. y = -4x + 8
  4. y = -5x + 49
  5. y = -4x + 5
  6. y = 2x + 33
  7. y = 2x + 12
  8. y = 2x + 70
  9. y = 3x + 35
  10. y = 11x + 63
  11. y = -6x + 70
  12. y = -3x + 85
  13. y = 14x + 66
  14. y = -16x + 100
  15. y = 16x + 146
  16. y = -7x + 79
  17. y = 8x + 167
  18. y = -19x + 141
  19. y = 3x + 75
  20. y = 21x + 38