Patterning & Relationships
What is the pattern rule?
4, 8, 12, 16
Start at 4, add 4 every time
−3 + 5?
2
x − 7 = 3
x = 10
A box contains 40 chocolates.
They are divided equally among 5 friends.
How many chocolates does each friend get?
8
2x + 3x
5x
Term number = 5, rule: multiply by 3
What is the term value?
15
−6 + (−4)?
−10
12x = 48
x = 4
A number is multiplied by 4 and then increased by 5. The result is 29.
What is the number?
6
8n − 3 + 2n + 5
10n + 2
Find the missing value:
2, 6, 12, ___, 30
20
−2 − (−8)?
6
5x + 8 = 33
x = 5
A group orders 3 burgers and pays a $6 service fee.
The total cost is $30.
What is the cost of one burger?
$8
7x − 2 + 3 − 4x + x
4x + 1
What are the first three terms of this pattern?
Use this pattern rule: Start at 4, Multiply by 2 then subtract 1
7, 13, 25
A diver is at −12 meters below sea level. He swims up 9 meters. What is his new position?
−3 meters
x − 14 + 5 = 12
x = 21
A bank account has −$17. After adding x dollars, the balance is $9.
What is x?
x = 26
7x² − 2x + 4 + 3x² + 5x − 1
10x² + 3x + 3
T = 9 + 6n
Find the value of Term 8
57
A temperature is −5°C. It drops 7 degrees. What is the new temperature?
−12°C
−6 = y − (−2)
y = -8
A customer buys 3 books and pays $12 in tax.
The total cost is $72.
What is the cost of one book?
$20
2x³ + 5x² − 3x + x² + 4x
2x³ + 6x² + x