review exercise 36 (subjective)

Review Exercise 36

Subjective Questions

1.

In the diagram, the perimeter of the triangular flag is 30 cm. Formulate a linear equation in terms of x and y.

2. A circle has a radius of x cm. The difference between the circumference and its

radius is y cm. By taking π = , formulate a linear equation in terms of x and y.

3. In an examination, a Mathematics test paper has 60 questions. In the paper, a candidate obtained x questions correct, y questions wrong and 6 questions unanswered. Write a linear equation in terms of x and y.

4. Given that 2y = 7x + 5. Find (a) the value of y when x = 1,(b) the value of x when y = 13.

5. Given that x + 4y = 9. Find(a) the value of x when y = 3,(b) the value of y when x = 5.

6. Given that 3p − 4q = 24. Determine the value of p when(a) q = 6, (b) q = −4.

7. Given that 5y − 6x + 30 = 0. Calculate the value of x when(a) y = 2, (b) y = −6.

8. Copy and complete the table below for y = 13 − 6x.

9. Copy and complete the following table for 2x + y = 10.

10. If x and y are positive integers, state all the possible solutions for the equation x + 2y = 6.

11. The prices of 1 kg of fish and 1 kg of meat are RM2 and RM3 respectively. Rokiah spent a total sum of RM24 to buy x kg of fish and y kg of meat. If x and y are integers, find the possible values of x and y that satisfy the conditions of the problem.

© Pearson Malaysia Sdn. Bhd. 2008 Essential Mathematics PMR1

Review Exercise 36

12. Solve the following simultaneous linear equations by adding or subtracting.(a) 3x + y = 9

4x − y = 5(b) 5x − 3y = −3

−7x + 3y = 9(c) 2x + 7y = 12

2x − 5y = −12(d) 2x − y = 11

3x − y = −17

13. By multiplying an equation with a number, solve the following simultaneous linear equations.(a) 3x + 5y = 28

x − 2y = 2(b) 3x − y = 4

5x − 2y = 6(c) x + 8y = 13

2x − 3y = −12(d) 7x − 5y = 11

3x + y = −11

14. By multiplying both equations with suitable numbers, solve the following simultaneous linear equations.(a) 2x + 3y = 11

3x + 2y = 9(b) 3x − 2y = 12

2x + 5y = 8(c) 4x + 7y = 6

5x + 8y = 6(d) 7x + 10y = 11

8x − 9y = 33

15. Calculate the values of x and u that satisfy both of the following equations: x − 2u = 13 2x − u = 11

16. Calculate the values of r and y that satisfy both of the following equations:

r + y = 1

r − 3y = −17

17. Calculate the values of m and n that satisfy both of the following equations: 3m + n = 2 5m −3n = −20


Review Exercise 36

18. Calculate the values of f and k that satisfy both of the following equations: 4f + 3k = 19 f − 6k = 52

19. Calculate the values of p and t that satisfy both of the following equations: 4p + t = −14

p − t = 1

20. Calculate the values of u and z that satisfy both of the following equations u − 2z = 1 3u + z = 24

21. Calculate the values of y and r that satisfy both of the following equations:

2y + r = 16

5y − r = 49

22. Calculate the values of w and x that satisfy both of the following equations:

x − w = 2

4x + 3w = 56

23. Calculate the values of h and m that satisfy both of the following equations: 2h + 3m = 5 3h − 4m = 33

24. Calculate the values of t and y that satisfy the following simultaneous linear equations:

t + 3y = −3

2t − 9y = 36

25. Calculate the values of m and n that satisfy the following simultaneous linear equations. 5m + 2n = 1 3m − n = 16


review exercise 36 (subjective)

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