Name: 
 

Lesson 4 - Comparing Expressions



 1. 

Complete the following table using the rule “Start with the number 3 and add 5 each time.”

Column 1
Column 2
0
3
1
 
2
 
3
 
4
 
 

 2. 

Select the expression that can be used for the pattern rule from question 1.
a.
5n
b.
3n + 5
c.
3n
d.
5n + 3
 

 3. 

Complete the following table using the rule “Start with the number 4 and add 5 each time.”

Column 1
Column 2
0
4
1
 
2
 
3
 
4
 
 

 4. 

Select the expression that can be used for the pattern rule from question 3.
a.
4n + 5
b.
5n + 4
c.
4n
d.
5n
 

 5. 

Complete the following table using the rule “Start with the number 3 and add 2 each time.”

Column 1
Column 2
0
3
1
 
2
 
3
 
4
 
 

 6. 

Select the expression that can be used for the pattern rule from question 5.
a.
3n
b.
2n + 3
c.
3n + 2
d.
2n
 

 7. 

How did the expressions from question 2 and question 4 change when the starting number changed?
 

 8. 

How did the expressions from question 2 and question 6 change when the amount added each time changed?
 

 9. 

The expression for the pattern rule for this cube pattern is 4n + 1.

            mc009-1.jpg

What would the new expression be if the starting number changed to 5?
a.
5n + 1
b.
5n
c.
4n + 5
d.
5n + 4
 

 10. 

The expression for the pattern rule for this cube pattern is 3n + 2.

         mc010-1.jpg

What would the new expression be if the amount being added each time changes to 7?
a.
7n + 3
b.
3n + 7
c.
7n
d.
7n + 2
 



 
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