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PR7.1.4 Relationships in Patterns

Total questions: 15

Worksheet time: 21mins

Name
Class
Date
1.

Evaluate the expression?

n=6

12 + 2n

2.

There are n students in class. Write a relations for this statement:

the total number of pencils, if each student has 5 pencils.

a)

5n

b)

3n

c)

5+n

d)

3n+5

3.

There are n students in class. Write a relations for this statement:

the total number of desks, if there are 4 more desks than students

a)

n +2

b)

n + 4

c)

5+n

d)

4n

4.

There are n students in class. Write a relations for this statement:

the total number of stickers if each student gets 3 stickers and there are 10 stickers left over.

a)

3n + 10

b)

n + 3(10)

c)

3n-10

d)

3n

5.

A pizza with cheese and tomato toppings costs $10. If each topping costs $3 more, write a relation for the cost of pizza with n toppings on top.

(a)  

6.

A pizza with cheese and tomato toppings costs $10. If each topping costs $3 more, which expression represents a pizza with 6 extra toppings?

a)

3n+10

3(6)+10

b)

3+n+10

3+6+10

c)

10n+3

10(6)+3

7.

On Tuesdays, the cost of the same pizza with cheese and tomato toppings is $8.00.

Write a relation for the cost of a pizza with χ toppings. Each extra topping is $3.00.

8.

On Tuesdays, the cost of the same pizza with cheese and tomato toppings is $8.00.

Each extra topping is $3.00. What is the cost of a pizza with 5 extra toppings on Tuesday?

a)

3n+8

3(5)+8

15+8

$23.00

b)

3+n+8

3+5+8

$16.00

c)

3(8)+5

24+8

$32.00

9.

A variable is . . .

a)

an awesome number

b)

a number represented by a letter

c)

an infinite number

d)

a number multiplied by another number

10.
5p + 4h - 2
Which are the variables? 
a)
5p, 4h, 2
b)
2
c)
p, h
d)
5, 4
11.

Identify the constant in the expression
3x +  9

a)
x
b)
y
c)

+9

d)
3x
12.
Find the coefficient in the algebraic expression.
a)
x
b)
4
c)
5
d)
9
13.

Which is the best choice to describe this pattern rule:

38

32

26

20

14

8

a)

Add 6 each time

b)

Subtract 2 each time

c)

Subtract 6 each time

d)

Add 2 each time

14.

What is the process happening in this input/output machine?

a)

multiply by 5

b)

add 5

c)

divide by 3

d)

add 3

15.

How well did you understand this lesson and the concepts covered?

a)

b)

c)

d)