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GCSE Algebraic Fractions Questions 1. Simplify fully x2 x 6 x 2 7 x 10 .................................... (Total 3 marks) 2. Simplify fully x 2 8x 15 2 x 2 7 x 15 ................................................ (Total 3 marks) 3. Simplify p2 9 2p 6 ..................................... (Total 3 marks) 4. Simplify fully 6 x 2 3x 4x 2 1 .............................. (Total 3 marks) Tiffin School 1 5. (a) Simplify 2x + 4 x + 4x + 4 2 ..................................... (3) (b) Write 1 2 as a single fraction in its simplest form. + x+4 x–4 (3) (Total 6 marks) 6. Simplify x 2 2x 1 x 2 3x 2 .................................... (Total 3 marks) 7. Simplify fully x 3 x 5 4 3 .................................... (Total 3 marks) Tiffin School 2 8. Simplify fully 2 x 2 3x 1 x 2 3x 4 ...................................................... (Total 3 marks) 9. Solve the equation x 4 1 2x – 3 x 1 x = ................................. (Total 5 marks) 10. Solve the equation 3 4 5x – 2 x3 x –3 x –9 x = ..................................... (Total 4 marks) Tiffin School 3 11. (a) Show that the equation 5 4 3x x2 x 1 can be rearranged to give 3x2 + 7x – 13 = 0 (3) (b) Solve 3x2 + 7x – 13 = 0 Give your solutions correct to 2 decimal places. x = ............................... or x = ................................ (3) Tiffin School 4