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Algebra Patterns and Sequences
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Algebra Patterns and Sequences
Choose one answer for each multiple-choice question. Complete the sequences and show your working for the problem-solving questions.
Choose the answer
1.The sequence begins 6, 10, 14, 18. Which number comes next?
- 20
- 21
- 22
- 24
2.Solve the equation 3 + p = 11.
- p = 7
- p = 8
- p = 14
- p = 33
3.Which expression means “a number t multiplied by 6”?
- t + 6
- t - 6
- 6t
- 6 ÷ t
4.The sequence 5, 9, 13, 17, ... follows which rule?
- Add 3 each time
- Add 4 each time
- Multiply by 2 each time
- Subtract 4 each time
Complete and write
5.Fill in the next two terms: 2, 7, 12, 17, , .
6.Find the value of q if q − 8 = 15.
7.A sequence starts 3, 8, 13, 18, ... What is its 9th term?
8.Write an expression for 9 more than a number m.
Solve problems
9.A tile pattern starts with 5 tiles. Each new arrangement adds 3 tiles. How many tiles will arrangement 7 have? Show how you worked it out.
10.A museum ticket costs £7 for an adult and £4 for each child. Write an expression for the cost of one adult ticket and c child tickets.
11.A tank contains 16 litres of water. It gains 5 litres each minute. Write an expression for the amount of water after t minutes, then calculate the amount after 6 minutes.
2 printable pages
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