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CCEA GCSE Mathematics Algebra overview quiz quiz

17questions. Pick an answer and you'll see why right away.

  1. Simplify 5a+3bβˆ’2a+4b5a + 3b - 2a + 4b.

  2. Expand and simplify (x+4)(xβˆ’2)(x + 4)(x - 2).

  3. Factorise 6x2+9x6x^2 + 9x.

  4. Solve 4xβˆ’7=2x+54x - 7 = 2x + 5.

  5. Solve the inequality 3x+2<143x + 2 < 14.

  6. Solve βˆ’2x>8-2x > 8.

  7. Solve simultaneously: 2x+y=112x + y = 11 and xβˆ’y=1x - y = 1.

  8. Find the nth term of 7,11,15,19,…7, 11, 15, 19, \ldots.

  9. The sequence 2,5,10,17,…2, 5, 10, 17, \ldots has nth term:

  10. Find the gradient of the line through (2,3)(2, 3) and (6,15)(6, 15).

  11. A line is perpendicular to y=3x+1y = 3x + 1. What is its gradient?

  12. Solve x2βˆ’5x+6=0x^2 - 5x + 6 = 0 by factorising.

  13. How many real roots does x2+2x+5=0x^2 + 2x + 5 = 0 have?

  14. Complete the square: x2+8xx^2 + 8x equals:

  15. What shape is the graph of y=x2βˆ’4y = x^2 - 4?

  16. What is the radius of the circle x2+y2=49x^2 + y^2 = 49?

  17. Make rr the subject of A=Ο€r2A = \pi r^2.