Patterns Recognition
Find the next term in the sequence:
3, 6, 9, 12, ___
15
In the expression 5x + 3, identify the variable, coefficient, and constant.
Variable: x
Coefficient: 5
Constant: 3
For the following, please write an expression.
A movie theatre charges $12 for each ticket. Let t represent the number of tickets.
12t
For the following, please write an expression. Be sure to define your variable.
The length of a rectangle is 3 times its width.
Let w = width of the rectangle
Expression: 3w
For the following, substitute t = 4 into the expression:
5t+3
23
Find the next term in the sequence:
50, 45, 40, 35, ___
30
In the expression 12y − 7, identify the variable, coefficient, and constant.
Variable: y
Coefficient: 12
Constant: −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
For the following, please write an expression. Be sure to define your variable.
A gardener plants 5 rows of flowers, with f flowers in each row.
Let f = number of flowers in one row
Expression: 5f
For the following, substitute b = 6 into the expression:
9b+5
59
Find the next term in the sequence:
2, 4, 8, 16, ___
32
In the expression −4a + 10, identify the variable, coefficient, and constant.
Variable: a
Coefficient: −4
Constant: 10
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
For the following, please write an expression. Be sure to define your variable.
A library has 120 books and a number of books are borrowed.
Let b = number of books borrowed
Expression: 120 - b
For the following, substitute h = 3 into the expression:
20+6h
38
Find the next term in the sequence:
1, 4, 9, 16, ___
25
In the expression 8m, identify the variable, coefficient, and constant.
Variable: m
Coefficient: 8
Constant: 0 (no constant term)
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
For the following, please write an expression. Be sure to define your variable.
A student had $30. He finds some money on the playground.
Let f = amount of money found
Expression: 30+f
For the following, substitute x = 12 into the expression:
(x÷4)+5
8
Find the next term in the sequence:
5, 10, 20, 40, ___
80
In the expression x + 9, identify the variable, coefficient, and constant.
Variable: x
Coefficient: 1
Constant: 9
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
For the following, please write an expression. Be sure to define your variable.
A toy costs $12 more than twice the price of another toy.
Let p = price of the other toy
Expression: 2p + 12
For the following, substitute x = 6 and y = 4 into the expression:
((2x+8)÷y)−3
2