Maths Bridging Booklet

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where L cuts the y-axis. ii) iii) Write down the letter of the graph which could have the equation y = 3x - 2 i) B y = 2x² + 5x - 3 y = 318 .(1) .(1) (Total 2 marks) .(1) .(1) ..(1) (Total 3 marks) 10. a) Complete the table for y = x² x y -2 11 -1 0 1 =====•=•="6 F 3x + 1 1 -1 b) On the grid draw the graph of y=x²-3x+1 2 y=. 3 1 4 5 F c) Use your graph to find on estimate for the minimum value of y. (2) ..(1) (Total 3 marks) This is the sketch of the curve with the equation y = f(x) It passes through the origin O. V A (2,-4) iii) The only vertex of the curve is A(2, -4) Write down the coordinates of the vertex of the curve with equation. i) y = f(x - 1) (..... .....) ii) y = f(x) - 5 .....) y = -f(x) (..... .....) iv) y = f(2x) (..... .....) y = f(x) a) 2(3x + 4)-3(4x - 5) x b) (2xy³)5 (......... ‚ C) ALGEBRA – Manipulating Expressions and Solving Equations 11. Simplify fully (Total 4 marks) (2) c) (7x - 2)² e) n²-1 n+1 X 2 n-2 x²-3x x²-8x+15 12. Factorise the following expression. 3x² + 10x - 8 (3) .(3) (Total 12 marks) 13. B с Diagram NOT accurately drawn ABCD is a parallelogram AD = (x + 4)cm (x+4) cm ii) Solve your equation. D (2x - 1) cm CD= (2x - 1)cm The perimeter of the parallelogram is 24cm i) Use the information to write down an equation in terms of x. X = (Total 2 marks) P = q= .(1) (Total 3 marks) - 14. The expression x² - 6x + 14 can be written in the form (x − p)² + q by completing the square, for all values of x. Find the value of p and q. (Total 3 marks) 15. Solve the simultaneous equations. 3x - 4y = 11 5x + 6y = 12 16. y. y=4x-8 A H y=2x+3 y = 2x + 3 X y = (Total 4 marks) Diagram NOT accurately drawn The diagrams show two straight lines intersecting at point A. The equations of the lines are y = 4x - 8 17. Work out the coordinates of A. X x + 5 x+8 AT is a tangent at T to a circle centre O. OT = x cm, AT = (x+5)cm, OA = = (x + 8)cm a) Show that x² - 6x - 39 = 0 (Total 2 marks) Diagram NOT accurately drawn A (4) b) Solve the equation x² 6x390 to find the radius of the circle. Give your answer correct to 3 significant figures. .cm (3) (Total 7 marks)