Name:_________________________
Date:___________________
Unit 2 Assessment Review Packet
**Wednesday 12/14 and Thursday 12/15**
Factors and Multiples
Remember: Factors of a number are the numbers you multiply together to get that number.
Multiples of a number are the numbers you say when counting by that number.
1. List ALL of the factors of 20.
2. List ALL the factors of 32.
3. List the first five multiples of 9.
_________, ___________, __________, __________, __________
4. List the first five multiples of 6.
_________, ___________, __________, __________, __________
Name:_________________________
Date:___________________
5. Which number is both a factor and a multiple of 9? _________________
a. Use words/numbers to explain your answer.
6. Which number is both a factor and a multiple of 3?_________________
a. Use words/numbers to explain your answer.
7. Find the GCF (Greatest Common Factor) of 16 and 18. Circle your answer!
8. Find the GCF (Greatest Common Factor) of 24 and 22. Circle your answer!
Name:_________________________
Date:___________________
9. Find the LCM (Least Common Multiple) of 4 and 7. Circle your answer!
10. Find the LCM (Least Common Multiple) of 5 and 6. Circle your answer!
Challenge: GCF and LCM Word Problems
1. The Red Train comes every 27 minutes.
The Blue Train comes every 18 minutes.
The trains are both at the same station at 3:00pm.
In how many minutes will the trains arrive at the same station again?
Name:_________________________
Date:___________________
2. The Red Train comes every 16 minutes.
The Blue Train comes every 12 minutes.
The trains are at the same station at 5:00pm.
In how many minutes will the trains arrive at the same station again?
3. Tanya had 21 graham crackers and 14 juice boxes to share with a group of her friends.
a. What is the largest number of people that can be in the group so that each person gets an equal
number of graham crackers and an equal number of juice boxes?
b. Use what you know about factors of numbers to explain how you determined your answer. Use words
and/or numbers in your explanation.
Name:_________________________
Date:___________________
4. Isabel had 36 graham crackers and 24 juice boxes to share with a group of her friends.
c. What is the largest number of people that can be in the group so that each person gets an equal
number of graham crackers and an equal number of juice boxes?
d. Use what you know about factors of numbers to explain how you determined your answer. Use words
and/or numbers in your explanation.
Equations
1. Susie has 78 stamps in her stamp collection.
She buys some more stamps.
Now, Susie has 189 stamps in her stamp collection.
Complete the following questions:
a. In this problem 78 and 189 represent the known quantities.
What does 78 represent? ________________________
What does 189 represent? ________________________
b. What is the unknown quantity?
_______________________________________________
Name:_________________________
Date:___________________
c. Write an equation that represents the relationship between 78 and 189 and the unknown quantity.
Let n=the unknown quantity.
_______________________________________
d. Solve for the unknown in your equation.
_______________________________________
e. What does your solution tell you about the situation?
__________________________________________________________________________________________
2. Jordan has 81 bows.
She puts some bows on each wrapped present.
There are 9 wrapped presents.
Complete the following questions:
f. In this problem 81 and 9 represent the known quantities.
What does 81 represent? ________________________
What does 9 represent? ________________________
g. What is the unknown quantity?
_______________________________________________
h. Write an equation that represents the relationship between 81 and 9 and the unknown quantity.
Let n=the unknown quantity.
_______________________________________
i.
Solve for the unknown in your equation.
_______________________________________
j.
What does your solution tell you about the situation?
____________________________________________________________________________________
Name:_________________________
Date:___________________
3. Susie has 38 toys in her basement.
She gives some toys away because she has too many.
Now, Susie has 7 toys in her basement.
Complete the following questions:
k. In this problem 38 and 7 represent the known quantities.
What does 38 represent? ________________________
What does 7 represent? ________________________
l.
What is the unknown quantity?
_______________________________________________
m. Write an equation that represents the relationship between 38 and 7 and the unknown quantity.
Let n=the unknown quantity.
_______________________________________
n. Solve for the unknown in your equation.
_______________________________________
o. What does your solution tell you about the situation?
__________________________________________________________________________________________
Expressions with Parentheses
Make a true number sentence by filling in the blank.
1. 19 + (3 x 6) = _________________
2. 16+ (4 / 4) = __________________
3. 4 x (6 – 4) = _________________
Name:_________________________
Date:___________________
4. (36 / 9) / 2 = _________________
5. Choose the expression below that equals 36.
a. (24 / 8) x 3
b. 32 / (8 / 2 )
c.
(40 + 12) - 16
d. 42 – (9 x 2)
Add parentheses to make each number sentence true.
6. 56 / 7 + 1 = 7
56 / 7 + 1 = 9
7. 3 x 10 – 9 = 21
3 x 10 – 9 = 3
8. 24 / 6 / 2 = 8
24 / 6 / 2 = 2
Expressions
1. Tommy put 9 boxes of pencils in his backpack with 18 other pencils.
Let n=the number of pencils in 1 box.

Write an expression to show how many pencils are in his backpack.
______________________________________________________

Each box contains 6 pencils. Use substitution to write a numerical expression for the number of toys
on the table.
______________________________________________________

How many pencils does Tommy have in his backpack?____________________________________
2. Samantha put 8 boxes of toys on her desk with 4 other toys.
Let n=the number of toys in 1 box.

Write an expression to show how many toys are on the table.
______________________________________________________
Name:_________________________

Date:___________________
Each box contains 5 toys. Use substitution to write a numerical expression for the number of toys on
the table.
______________________________________________________

How many toys does Samantha have on the table?_____________________________________
Basic Facts
You should know your 0-10 basic facts for this assessment! Write the answer to make each number sentence
true.
2 X 9=
5 X 7=
9 X 10 =
8 X 8=
6 X 9=
4 X 0=
3 X 10=
7 X 8=
0 X 1=
6 X 1=
8 X 6=
10 X 6=
9 X 9=
1 X 9=
1 X 4=
2 X 5=
5 X 0=
3 X 2=
10 X 4=
1 X 1=
1 X 1=
5 X 5=
8 X 0=
2 X 7=
5 X 9=
0 x 0=
Name:_________________________
Date:___________________
Write the answer to each problem and then write the three related facts. Use the fact triangle next to each one
if it helps you.
7 X 8=
36 ÷ 4=
54 ÷ 6=
9 X 7=
7 X 6=
Name:_________________________
Date:___________________
Write the answer to make each number sentence true.
54 ÷ 6=
12 ÷ 6=
64 ÷ 8=
18 ÷ 9=
24 ÷ 3=
36 ÷ 6=
30 ÷ 10=
21 ÷ 7=
54 ÷ 6=
16 ÷ 4=
81 ÷ 9=
20 ÷ 5=
32 ÷ 4=
48 ÷ 8=
27 ÷ 3=
42 ÷ 7=
56 ÷ 8=
36 ÷ 6=
45 ÷ 5=
25 ÷ 5=
28 ÷ 4=
90 ÷ 9=
63 ÷ 7=
72 ÷ 8=
15 ÷ 3=
60 ÷ 6=
Equations
Solve for the unknown (the letter) in each equation.
1. 168 = a + 37
a=
Name:_________________________
Date:___________________
2. 76 + b =294
b=
3. c + 35 =423
c=
4. 85 = e - 48
e=
5. f – 90 = 31
f=
6. g – 11 = 212
g=
7. 243=589-n
n=
Divisibility Rules
You should know the divisibility rules for 2, 3, 5, 6, and 10! Write YES or NO on the lines below.
1. Is 342, 498 divisible by 6? _____________________________
Use words/numbers to explain how you know.
Divisibility Rules
2: The number ends in 0, 2, 4, 6, or 8
3: The sum of the digits is divisible by 3
5: The number ends in 0 or 5
6: The number is divisibly by 2 and 3
10: The number ends in 0
Name:_________________________
Date:___________________
2. Is 51 divisible by 3? _____________________________
Use words/numbers to explain how you know.
3. Is 55, 510, 234 divisible by 2?_____________________
Use words/numbers to explain how you know.
4. Is 875 divisible by 10?_________________________
Use words/numbers to explain how you know.
5. Is 920 divisible by 5?________________________
Use words/numbers to explain how you know.
Patterns
Write the rule for each pattern. DON’T FORGET THE STARTING NUMBER!
1. 6, 12, 24, 48
2. 1, 3, 9, 27
3. 40, 20, 10, 5
Rule:____________________________
Rule:____________________________
Rule:____________________________
Fill in the next number of the pattern.
4. 1, 5, 10, 50, ______
5. 5, 9, 13, 17, ______
6. 16, 14, 12, 10, _______
Name:_________________________
Comparing Patterns
1. 5, 8, 11, 14
72, 75, 78, 81
How are the patterns above similar?
How are the patterns above different?
2. 4, 8, 16, 32
4, 14, 24, 34
How are the patterns above similar?
How are the patterns above different?
Function Tables
Complete the function tables below using the given rule.
1. Rule: b = a - 3
a
9
10
11
12
b
Date:___________________
Name:_________________________
2. Rule: a = b / 3
a
b
9
12
21
30
3. Rule: b = a x 7
a
b
1
2
3
4
4. Rule: b = a + 10
a
b
21
22
23
24
5. Write a rule for the function table below.
a
b
63
7
81
9
90
10
99
11
Rule:_________________________
Date:___________________
Name:_________________________
Date:___________________
Graphing Function Tables
1. Susie collects 2 shells every hour while walking on the beach.
a. Complete the function table to show the relationship between the hours Susie walks on the beach (x)
and how many shells she collects (y).
Hours (x)
1
2
3
4
5
Shells (y)
b. Write an equation that shows the rule for the relationship between x and y in the table.
_______________________________
c. Use the grid below to graph the rule.
Name:_________________________
Date:___________________
2. Susie collects 5 shells every hour while walking on the beach.
d. Complete the function table to show the relationship between the hours Susie walks on the beach (x)
and how many shells she collects (y).
Hours (x)
1
2
3
4
5
Shells (y)
e. Write an equation that shows the rule for the relationship between x and y in the table.
_______________________________
f. Use the grid below to graph the rule.
Name:_________________________
Date:___________________
Prime or Composite
Remember: A number is prime if it has only 2 factors (1 and itself).
A number is composite if it has 3 or more factors.
Hint: Divisibility rules can help you determine if a number is prime or not!
1. Is the number 57 prime or composite? _________________
2. Write one odd composite number. ____________________________
3. Is the number 43 prime or composite?_________________________
4. Write one even composite number. ___________________________
5. Is the number 87 prime or composite?__________________________
6. Write one odd prime number. ________________________________
Grouping Property of Multiplication and Addition
1. Jacob says that (3 x 4) x 5 is different than 3 x (4 x 5). Do you agree or disagree with him? Make sure
to use words/numbers in your explanation.
2. 9 + (8 + 7) = (9 + 8) + 7
Circle: True or
False?
Show your work to prove your answer below.
Name:_________________________
Date:___________________
Ordering Property of Multiplication and Addition
1. Jacob says that 4 x 5 x 2 is the same as 5 x 2 x 4. Do you agree or disagree with him? Make sure
you use words/numbers in your explanation.
2. 6 + 1 + 8 = 1+ 6+ 8
Circle: True or
False?
Show your work to prove your answer below.
Grouping/Ordering with Addition
Use what you know about the grouping and ordering properties of addition to complete the problems below.
1. 63 + 32 + 97 + 28=
2. 89+ 24 + 21 + 76=