Recognizing Patterns
Write the rule describing the pattern.
84, 80, 76, 72, 68, 64, 60, 56
Start at 84 and subtract 4 each time.
Find the missing number.
5 - 4 = 20 - ___
19
5 - 4 = 20 - 19
13 + 7 = 32 - x
13 + 7 = 32 - x
20 = 32 - x
x = 12
A B A ___ A B A B A __
B
Look at the numbers. Write the rule describing each pattern.
7, 13, 19, 25, 31, 37, 43, 49
Start at 7 and add 6 each time.
Identify the number pattern and fill in the missing numbers.
48, 45, 42, 39, 36, ___, ____, ____, ____, ____
48, 45, 42, 39, 36, 33, 30, 27, 24, 21
Start at 48 and subtract 3 each time.
Find the missing number.
26 - 4 = 12 + ___
10
26 - 4 = 12 + 10
25 + 75 = 130 - x
25 + 75 = 130 - x
100 = 130 - x
x = 130 - 100
x = 30
C C C ___ H H H H ___
C
C
Make the scales balance by using addition and subtraction to find the values of the variables.
b + 17 = 20 + 7
b = 10
What is the last number in the pattern before it begins to repeat?
1 2 3 4 1 2 3 4 1 2 3 4 1 2 3 4
The last number is 4
56 - ____ = 20 + 36
0
56 - 0 = 20 + 36
x + 19 = 29 - 4
x + 19 = 29 - 4
x + 19 = 25
x = 25 - 19
x = 6
F ___ H F F H F F H
H
Describe the pattern followed by the hops in the number line.
Start at 5 and add 2 each time.
If the pattern continued to repeat, what would be the 12th number in the pattern?
5 6 7 8 5 6 7 8
The 12th number would be 8.
5 6 7 8 5 6 7 8 5 6 7 8
100 - 47 = 60 - ____
7
100 - 47 = 60 - 7
120 - 70 = 89 - x
120 - 70 = 89 - x
50 = 89 - x
x = 89 - 50
x = 39
A B B C C C D D D D __ __ ___ ___ ___ ___
E E E E E F
Describe the pattern followed by the hops of the number line.
What would be the next number after 150?
Start at 40 and add 30 each time.
180
If the pattern continued to repeat, what would be the 25th number in the pattern?
8 9 10 11 8 9 10 11 8 9 10 11
The 25th number would be 8.
150 - 28 = 100 + ____ = 132 - ____
22, 10
150 - 28 = 100 + 22 = 132 - 10
The sum of 15 and x is equal to the difference between 19 and 45. What is the value of x?
15 + x = 45 - 19
15 + x = 26
x = 26 - 15
x = 11
Zz Yy Xx ___ ____ ____
Ww Vv Uu
Describe the pattern followed by the hops of the number line.
What would be the next number after 70?
Start at 118 and subtract 24 each time.
46