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Graphs of Linear Inequalities (Two Variables) · CSEC Mathematics

34 past-paper questions on Graphs of Linear Inequalities (Two Variables), part of RELATIONS, FUNCTIONS AND GRAPHS, from every CSEC Mathematics paper on Quelpr.

Practise Graphs of Linear Inequalities (Two Variables)
  1. 8(a)(i)1 mark· CSEC Mathematics · 2021 · Paper 2Marla must not spend more than $1\,200. Write an inequality to represent this information.
  2. 8(a)(ii)1 mark· CSEC Mathematics · 2021 · Paper 2The number of B-Flo phones must be greater than or equal to the number of C-Flex phones. Write down an inequality in x and y to show this information.
  3. 8(a)(iii)4 marks· CSEC Mathematics · 2021 · Paper 2Represent the two inequalities on the grid shown. Label as R the region which satisfies both inequalities.
  4. Q461 mark · multiple choice· CSEC Mathematics · January 2013 · Paper 1The graph of the inequality in the diagram is defined by
  5. Q491 mark · multiple choice· CSEC Mathematics · May/June 2011 · Paper 1The graph of the inequality in the diagram above is defined by
  6. Q491 mark · multiple choice· CSEC Mathematics · May/June 2012 · Paper 1The inequality above is defined by
  7. Q471 mark · multiple choice· CSEC Mathematics · May/June 2013 · Paper 1The graph of the inequality in the diagram is defined by
  8. 4(b)(ii)2 marks· Mathematics Q4 4(b)(ii)On the same grid, shade the region which satisfies the FOUR inequalities x ≥ 0, y ≥ 0, x + y ≤ 10 and x ≥ y.
  9. 4(c)2 marks· Mathematics Q4 4(c)Shade the region which is described as y ≥ x + 2.
  10. 4(d)3 marks· Mathematics Q4 4(d)Write THREE inequalities that define the shaded region, S, shown in the diagram.
  11. 8(b)(ii)2 marks· Mathematics Q8 8(b)(ii)Write an inequality to represent this information.
  12. 9(a)(i)2 marks· Mathematics Q9 9(a)(i)State the other TWO inequalities which define the shaded region.
  13. 9(a)(iv)3 marks· Mathematics Q9 9(a)(iv)On the answer sheet provided, draw the lines associated with the two inequalities obtained in (i) and (ii) above.
  14. 9(a)(v)1 mark· Mathematics Q9 9(a)(v)Shade on your graph the region which represents the solution set for the three inequalities.
  15. 9(b)(i)3 marks· Mathematics Q9 9(b)(i)Write THREE inequalities for the constraints given.
  16. 9(b)(i)2 marks· Mathematics Q9 9(b)(i)State the other TWO inequalities which define the shaded region.
  17. 9(b)(ii)1 mark· Mathematics Q9 9(b)(ii)On the answer sheet provided, shade the region of the graph which represents the solution set for the inequalities in (b)(i).
  18. 9(b)(ii)4 marks· Mathematics Q9 9(b)(ii)Using a scale of 1 cm to represent one pumpkin on the x-axis and 1 cm to represent one melon on the y-axis, draw the graphs of the THREE lines associated with the THREE inequalities.
  19. 9(b)(iii)1 mark· Mathematics Q9 9(b)(iii)Identify, by shading, the region which satisfies the THREE inequalities.
  20. 10(a)2 marks· Mathematics Q10 10(a)Write down the inequalities to represent conditions (2) and (3).
  21. 10(a)(ii)4 marks· Mathematics Q10 10(a)(ii)Write an inequality to represent this information.
  22. 10(b)(i)5 marks· Mathematics Q10 10(b)(i)Using a scale of 2 cm on the x-axis to represent 10 balls and 2 cm on the y-axis to represent 5 bats, draw the graphs of the lines associated with the inequalities at (a) (i) and (ii) above.
  23. 10(b)(i)4 marks· Mathematics Q10 10(b)(i)Using a scale of 2 cm on the x-axis to represent 5 small pizzas and 2 cm on the y-axis to represent 5 large pizzas, draw the graphs of the lines associated with the inequalities at (a)(i) and (a)(ii) above.
  24. 10(b)(i)4 marks· Mathematics Q10 10(b)(i)Using a scale of 2 cm on the horizontal axis to represent 5 guitars, and 2 cm on the vertical axis to represent 5 violins, draw the graphs of the lines associated with the THREE inequalities written in (a) (i), (ii) and…
  25. 10(b)(i)3 marks· Mathematics Q10 10(b)(i)On the answer sheet provided, draw the graph of the TWO inequalities obtained in (a)(i) and (a)(ii) above.
  26. 10(b)(ii)1 mark· Mathematics Q10 10(b)(ii)Shade the region which is defined by ALL of the following combined: the inequalities written at (a)(i) and (a)(ii), the inequalities x ≥ 0 and y ≥ 0.
  27. 10(b)(ii)1 mark· Mathematics Q10 10(b)(ii)Shade the region which satisfies the two inequalities at (a) (i) and (ii) and the inequalities x ≥ 0 and y ≥ 0.
  28. 10(b)(ii)4 marks· Mathematics Q10 10(b)(ii)Write down the set of THREE inequalities that define the shaded region.
  29. 10(b)(ii)1 mark· Mathematics Q10 10(b)(ii)Shade the region on your graph that satisfies all THREE inequalities.
  30. 10(c)(ii)3 marks· Mathematics Q10 10(c)(ii)Write the set of three inequalities which define the shaded region GHK.
  31. 10(iv)(a)6 marks· Mathematics Q10 10(iv)(a)Using a scale of 2 cm to represent 5 calculators on the x-axis and 2 cm to represent 10 folders on the y-axis, draw the graphs of the lines associated with the inequalities at (i), (ii) and (iii) above.
  32. 10(iv)(b)6 marks· Mathematics Q10 10(iv)(b)Identify, by shading, the region which satisfies all three inequalities.
  33. 10(iv)a)5 marks· Mathematics Q10 10(iv)a)Using a scale of 2 cm to represent 10 vans on the x-axis and 2 cm to represent 10 cars on the y-axis, draw the graphs of the lines associated with the inequalities at (i), (ii) and (iii) above.
  34. 10(iv)b)1 mark· Mathematics Q10 10(iv)b)Identify, by shading, the region which satisfies all three inequalities.

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