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OCR GCSE Mathematics Algebra overview quiz quiz

14questions. Pick an answer and you'll see why right away.

  1. Expand and simplify (x+4)(xβˆ’5)(x + 4)(x - 5).

  2. Factorise x2βˆ’36x^2 - 36.

  3. Solve 4x+5=2x+174x + 5 = 2x + 17.

  4. Solve x2βˆ’2xβˆ’8=0x^2 - 2x - 8 = 0 by factorising.

  5. What is the discriminant of x2+3x+1=0x^2 + 3x + 1 = 0, and how many real roots does it have?

  6. Solve the simultaneous equations x+y=9x + y = 9 and xβˆ’y=1x - y = 1.

  7. Find the nth term of the sequence 6,11,16,216, 11, 16, 21.

  8. The sequence 2,5,10,17,262, 5, 10, 17, 26 is quadratic. What is its nth term?

  9. A line has equation y=4xβˆ’3y = 4x - 3. What is its gradient and y-intercept?

  10. What is the gradient of a line perpendicular to y=12x+4y = \tfrac{1}{2}x + 4?

  11. Solve the inequality 2xβˆ’7<52x - 7 < 5.

  12. Solve βˆ’3xβ‰₯12-3x \ge 12.

  13. Which equation describes a reciprocal graph?

  14. Make tt the subject of v=u+atv = u + at.