Patterns Recognition
Find the next term in the sequence:
3, 6, 12, 24, ___
48
A movie theater charges $8 per ticket plus a $5 booking fee.
Liam spent $37 total.
How many tickets did Liam buy?
4 tickets
For the following, please write an expression.
A movie theatre charges $12 for each ticket. Let t represent the number of tickets.
12t
2x + 5 = 17
x = 6
For the following, substitute t = 4 into the expression:
25t+ 17
117
Find the next term in the sequence:
50, 45, 35, 15, ___
Jordan scored 3 points for each 3 pointer he made and also made 4 free throws worth 1 point each.
Jordan scored 25 points total.
How many 3 pointers did Jordan make?
7
For the following, please write an expression.
A pizza has 12 slices. If s people share it equally, write an expression for the number of slices each person gets.
12 ÷ s
30x - 70 = 200
x = 9
For the following, substitute b = 6 into the expression:
9b+5
59
Find the next term in the sequence:
2, 4, 6, 10, ___
16
A group buys t tickets to a concert. Each ticket costs $15, and they also pay a $12 service fee.
The total cost was $147.
How many tickets did they buy?
9 tickets
For the following, please write an expression.
A library has 200 books. Each week, it removes one damaged book. Let w represent the number of weeks.
200−w
4(x - 3) = 20
x = 8
For the following, substitute h = 3 into the expression:
20+6h
38
Find the next term in the sequence:
1, 4, 9, 16, ___
25
A school rents buses for a field trip. Each bus holds 24 students, but 6 seats on each bus must stay empty for teachers.
There are 180 students going.
How many buses are needed?
10 buses
For the following, please write an expression.
A student has $50 and spends $8 on each notebook. Let n represent the number of notebooks bought.
50−8n
5x + 4 = 3x + 8
x = 2
For the following, substitute x = 12 into the expression:
(x÷4)+5
8
Find the next term in the sequence:
3, 6, 2, 5, 1, 4, 0, 3 ___
A bike shop charges $10 to rent a bike plus $4 per hour.
Another shop charges $6 to rent a bike plus $5 per hour.
After how many hours will the cost be the same at both shops?
After 4 hours
For the following, please write an expression.
A book costs $9, and there is a $5 shipping fee. Let b represent the number of books.
9b+5
3(x - 5) +7 = 10
x = 6
For the following, substitute x = 6 and y = 4 into the expression:
((2x+8)÷y)−3
2