Word Problems (Linear and Quadratic Equations/Inequalities) · CSEC Mathematics

20 past-paper questions on Word Problems (Linear and Quadratic Equations/Inequalities), part of ALGEBRA, from every CSEC Mathematics paper on Quelpr.

1. 4(b)(ii)a)2 marks· CSEC Mathematics · 2009 (second paper) · Paper 2Write an equation in x to represent this information.
2. 2(b)(ii)3 marks· CSEC Mathematics · 2021 · Paper 2In two years' time, the product of Ally's age and Chris' age will be the same as the square of Jim's present age. Show that the equation x^2 - 4x - 21 = 0 represents the information given above.
3. 7(c)2 marks· CSEC Mathematics · 2022 · Paper 2Leon needs to arrange tables to seat 70 people for a birthday party. Which of the arrangements, L or M, will allow him to rent the LEAST number of tables? Use calculations to justify your answer.
4. 8(b)1 mark· CSEC Mathematics · 2022 · Paper 2A car can carry 4 people and a minivan can carry 6 people. There are at most 60 persons to be taken on a tour. Show that 2x + 3y \le 30.
5. Q301 mark · multiple choice· CSEC Mathematics · January 2011 · Paper 1When 8 is subtracted from a number and the result is multiplied by 3, the final answer is 21. What is the original number?
6. Q301 mark · multiple choice· CSEC Mathematics · May/June 2012 · Paper 1The area of the rectangle, in \text{cm}^2, is x^2. Which of the following equations may be used to find the value of x?
7. Q311 mark · multiple choice· CSEC Mathematics · May/June 2015 · Paper 1When 8 is subtracted from a certain number and the result is multiplied by 3 the answer is 21. What is the original number?
8. Q311 mark · multiple choice· CSEC Mathematics · May/June 2016 · Paper 1When 5 is added to a certain number and the result is multiplied by 3 the final answer is 27. What is the original number?
9. 2(b)2 marks· Mathematics Q2 2(b)Given that the area enclosed by the fence is 378 square metres, show that l² - 3l - 378 = 0.
10. 2(c)(ii)2 marks· Mathematics Q2 2(c)(ii)Write an equation which may be used to find the value of x.
11. 2(c)(ii)3 marks· Mathematics Q2 2(c)(ii)Calculate the number of tickets sold at $6 each.
12. 2(c)(ii)1 mark· Mathematics Q2 2(c)(ii)Write an equation, in terms of m, to represent the following information: The TOTAL cost of 5 muffins and 6 cupcakes is $31.50.
13. 2(c)(iii)2 marks· Mathematics Q2 2(c)(iii)Given that the cost of the 28 tickets was $660, calculate the number of adult tickets bought by the company.
14. 2(d)2 marks· Mathematics Q2 2(d)Write TWO inequalities to represent the scenario above.
15. 2(d)(iii)3 marks· Mathematics Q2 2(d)(iii)Hence, calculate the value of x.
16. 3(a)(ii)b)2 marks· Mathematics Q3 3(a)(ii)b)Write an equation in x to represent the total number of students in the survey and hence solve for x.
17. 4(b)(ii)4 marks· Mathematics Q4 4(b)(ii)Calculate the value of y if the area of the figure is 28 m².
18. 8(b)(i)3 marks· Mathematics Q8 8(b)(i)By writing an expression for the area of rectangle ABCD, show that x² + 2x - 4 = 0.
19. 9(b)(ii)9 marks· Mathematics Q9 9(b)(ii)Given that the area of rectangle AKLM is 60 cm², show that 2x² + 7x - 15 = 0.
20. 9(b)(iii)2 marks· Mathematics Q9 9(b)(iii)Show that S = x² - 6x + 39.