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Algebra Patterns and Sequences
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Algebra Patterns and Sequences
📚 Part 1: Multiple Choice
1. In the sequence 5, 8, 11, 14, ?, what is the missing number?
16
17
18
19
2. If n + 4 = 10, what is the value of n?
4
6
8
14
3. Which expression represents "a number plus 7"?
n - 7
n + 7
7n
7 ÷ n
4. In the pattern 2, 6, 10, 14, ..., what is the rule?
Add 4 each time
Add 3 each time
Multiply by 2 each time
Add 5 each time
✏️ Part 2: Fill in the Blanks
5. Complete the sequence: 3, 7, 11, 15, _____, _____
6. If x - 5 = 12, then x = _____
7. The 10th term in the sequence that starts 4, 7, 10, 13, ... is _____
8. Write an expression for "5 more than a number y": _____
🧮 Part 3: Problem Solving
9. Sarah is making a pattern with squares. She uses 4 squares for the 1st shape, 7 squares for the 2nd shape, and 10 squares for the 3rd shape. How many squares will she need for the 5th shape? Show your working.
10. A cinema charges £8 for an adult ticket plus £3 for each child. Write an expression to show the total cost for 1 adult and n children.
11. The temperature increases by 3°C each hour. If it starts at 12°C, what will the temperature be after h hours? Write an expression and find the temperature after 4 hours.
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