By C. Oliver, A. Ledsham, R. Elvin

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**Additional resources for Comprehensive Mathematics Practice: Bk. 6**

**Example text**

The interest £I after T years is given by the equation I= ST. I a) Copy and complete the table on the right for this equation. b) Plot a graph of this relationship showing Ton the horizontal axis to a scale of 2 cm to 1 year and I on the vertical axis to a scale of 1 cm to £2. c) From your graph find the interest paid (i) after 3 years (ii) after 7 years. d) How many years pass before the interest grows (i) to £25? (ii) to £5? 0 2 0 10 4 6 8 40 36 Part 3 Graphs 2. An isosceles triangle ABC has AB = BC = s cm and AC = 7 cm.

U + 3v = 23 -u+v=S 22. p + 6q = 32 -p + 3q = 13 24. 2x + Sy = 29 -2x + y = 1 26. 3c + 2d = 24 -3c +d= 3 28. 2x + Sy = 12 -2x + 3y =4 30. 3b + Se = 39 -3b + 2c = 3 Example 4 Solve for x and y. 2x +y X+ = 7 y = 4 (i) (ii) Here the x-terms are the same and the signs are the same. So subtract one equation from the other to eliminate y. Jf= 7 - 4 x=3 so, Then put this value of x in equation (ii). 3+y=4 so, y = 1 The solution is x = 3 and y = 1. Example 5 Solve for x and y. 2x- 2y = 6 (i) X - 2y = 1 (ii) Subtract equation (ii) from equation (i) to eliminate y.

2 7. y = 3x 9. y 11. y 13. y +4 = 2x = 3x- 3 = 4x 15. 2 CURVED GRAPHS The graph below shows the curve of the equation y = x 2 - 4. Example 1 The table below is to show the x-coordinate and they-coordinate of ·each lettered point on the graph of y = x 2 - 4. B c D E F G H 0 0 Copy and complete this table. You should find that the completed table of values is as follows. 4 5 3 30 Part 3 Graphs Exercise 30 For each question, copy and complete the table of values on the left so that it gives the coordinates of each lettered point on the graph of the equation .