Patterns & Rules
What comes next? 2, 4, 6, 8, ___, ___
10, 12
Solve: x + 6 = 10
4
A pizza costs $12. How much for 3 pizzas? (Write as an equation)
12x → for 3 pizzas = $36
What does the G stand for
Grouping or brackets
Rule for the pattern: 5, 10, 15, 20, ___
Solve: 3x = 21
7
A farmer packs eggs in boxes of 12. She sells x boxes and has 72 eggs. Solve for x.
12x = 72 → x = 6
A pattern starts at 3 and goes +5 each time. What is the 10th number?
48
Solve: 2x + 5 = 19
7
A bus has 50 seats. Each row has 5 seats. How many rows?
10 rows
A shape pattern has 4 triangles in step 1, 8 in step 2, 12 in step 3. How many in step 7?
28
Solve: x – 9 = 34
43
A phone plan costs $10 + $3 per gigabyte. Write the equation for g gigabytes.
C = 10 + 3g
A pattern doubles each time. Step 1 = 2. How many at Step 8?
256
Sam has x marbles. He buys 8 more and now has 25. Write and solve the equation
x + 8 = 25 → x = 17
A concert ticket costs $25 plus $2 per service fee. Write the equation and find the cost for 7 tickets
C = 25n + 2n = 27n; for 7 tickets = $189