Number Patterns
Algebraic Expressions
a = 2, b = 5
Simplify
Mixed Bag
100

What are the next 2 numbers of the pattern 1, 2, 3, ...

4, 5

100
What is an expression for the sum of y and 9?
y + 9
100

a + b

7

100
a x b
ab
100

What is 7d in expanded form?

7 x d

200

What are the next 2 numbers of the pattern 5, 12, 19, ...

26, 33

200
What is an expression for the product of 8 and h?
8 x h or 8h
200
2b - a
8
200
4 x a - 2
4a - 2
200

The rule is T = 4n - 6. When n = 10, T =

34

300

What are the next 2 numbers of the pattern 44, 36, 28, ...

20, 12

300
What is an expression for the difference between p and 8?
p - 8
300
4(b - a)
12
300
7 x y - 6 x k
7y - 6k
300
What are the next 3 consecutive even numbers after 16?
18, 20, 22
400
What are the next 2 numbers of the pattern 2, 7, 22, ...
67, 202
400
What is an expression for 5 times the sum of a and 3?
5 x (a + 3) or 5(a + 3)
400

a2 + b2

29

400
6 x g x 3 x h
18gh
400
What is the algebraic expression for 8 less than x?
x - 8
500

When x = 1, 2 and 3, y = 2, 3 and 4. What is the rule?

y = x + 1

500

When x = 1, 2 and 3, y = 2, 4 and 6. What is the rule?

y = 2x

500

2a + 2b / a + b

2

500

a + a + a + a + b + b + b

4a + 3b

500

When x = 1, 2 and 3, y = 4, 7 and 10. What is the rule?

y = 3x + 1

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