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Algebra & Sequences Revision

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  • Expand n(5n + 1)
    5n² + n
  • Expand and Simplify 4(g + 5) + 3(g – 2)
    7g + 14
  • The first five terms of a sequence are: 25, 22, 19, 16, 13. Find an expression in terms of n for the nth term of this sequence.
    -3n + 28
  • How many games does Calum have?
    20 games.
  • The first five terms of a sequence are: -3, 1, 5, 9, 13. Find an expression in terms of n for the nth term of this sequence.
    4n - 7
  • Find the perimeter of the rectangle.
    52cm
  • A school charges £5 for tickets to a show. The school raises £x in total from ticket sales. Write an expression for the total number of tickets sold by the school.
    £x / £5
  • Solve: 2x² = 50
    x = 5
  • A child ticket to see a show costs £x. An adult ticket costs £5 more than a child ticket. Write an expression for the cost of one adult ticket and two child tickets.
    3x + 5 (£)
  • The first five terms of a Fibonacci sequence are: 2, 3, 5, 8. What are the next two terms in the sequence?
    13, 21
  • Expand & Simplify: (x + 3)(x + 2)
    x² + 5x + 6
  • Isaac is x years old. Marie is twice as old as Isaac. Write an expression for Marie's age.
    2x years old
  • Factorise 4t + 20
    4(t + 5)
  • This triangle has a perimeter of 31cm. Find x.
    x = 6cm
  • Find the value of 3m² + 5 when m = 5
    80
  • This rectangle has a perimeter of 24cm. Find x.
    x = 5cm
  • Factorise fully 12m + 8m²
    4m(3 +2m)
  • Solve: 7x + 3 = x + 33
    x = 5
  • If p = 2, find the value of p³ - 2p²
    0
  • Factorise fully 18a²bc + 30abc²
    6abc (3a + 5c)