Topic 2: Algebra and Patterning

Is this a growing, shrinking, or repeating pattern?

1, 4, 5, 6, 1, 4, 5, 6, 1, 4, 5, 6

• growing

• shrinking

• repeating

What is the pattern rule for this number pattern?

1, 4, 7, 10, 13, 16, 19, 21

Start at 1 increase by _______ each time.

What is a shrinking pattern?

• a pattern that is decreasing in value

• a pattern that is increasing in value

• a pattern that is repeating

Predict the number in this pattern.

1, 3, 7, __ , 31, 63, 127

Answer explanation

Pattern rule: start at 1, multiply by 2 and add 1 each time.

What is a?

 $7\ +\ a\ =12$  

• 19

• 2

• 4

• 5

What is the value of y?

 $y\ \times3=12$  

• 4

• -4

• 6

• 9

What is the value of b?

 $b\ -\ 14\ =\ 2$  

• 12

• 16

• 14

• 28

What is the value of a?

 $\frac{a}{2}=4$  

• 8

• 6

• 4

• 2

What is the missing number in this pattern?

100, 92, 84, ___, 68, 60, 52

• 75

• 77

• 76

• 78

What is the value of a?

 $2a\ +3\ =21$  

• 6

• 7

• 8

• 9