This document contains a review for a math unit test covering topics like divisibility rules, prime factorization, factor trees, greatest common factors, and algebraic properties. It provides example problems and questions for students to complete involving these concepts, with spaces left for them to show their work and write their answers. The review is intended to help prepare students for an upcoming quiz over lessons 1 through 4 of the math unit.

1. Name ______________________________________ Date ________________
Mrs. Labuski / Mrs. Portsmore Period ____________ Unit 4 Quiz Review Lessons 1-4
Lesson 1
Tell whether each number is divisible by 2,3,4,5,6,9, and 10.
Use your divisibility rules, do not use division.
List the numbers on the line.
1.) 542, 3, 6, 9 2.) 2702, 3, 5, 6, 9, 10
Tell whether each number is prime or composite.
(Use your divisibility rules to help you.)
3.) 51composite 4.) 153composite
Lesson 2
Use a factor tree to find the prime factorization of each number. Show all
work below the line. Write your answer in exponential form on the line.
5.) 108 ______________________ 6.) 81 _______________________
108 81
9 12 9 9
3 3 3 4 3 3 3 3
2 2
108 = 3 • 3 • 3• 2 • 2 81= 3 • 3 • 3• 3
2 3
108 = 2 •3 81= 34
Lesson 3
Use factor trees to find the greatest common factor of each set of numbers.
Show all work below the line. Write your answer on the line.
7. )32 and 42 ___2__________
32 42
4 8 6 7
2 2 2 4 2 3
2 2
32 = 2 • 2• 2• 2• 2
32 = 2 • 3 • 7

2. Use the list method to find the greatest common factor of each set of numbers.
Show all work below the line. Write your answer on the line.
8.) 24 and 36 ___12_____________
24 = 1, 2, 3, 4, 6, 8, 12, 24
36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
Lesson 4
Match.
a. (8 • 2) • 7 = 8 • ( 2 • 7)
9. __a___ Associative Property
b. 24•3 = 3•24
10. __b___ Commutative Property
c. 9 x 1 = 9
11. __c___ Identity Property of One
d. 43 x 0 = 0
12. __e___ Identity Property of Zero
e. 27 + 0 = 27
13. __d__ Property of Zero
Identify the property shown and the missing number in each equation.
14.) 5 + 7 = x + 5 property: _communtative_______; x = 7___________
15.) 6+(9+8) = (b+9)+8 property: _associative___________; b = _6_________
16.)42 + s= 42 property: _identity property of zero; s = _0________
17.) 9 x m = 9 property: _identity propertyof one; m = 1_________
18.) 12 x r = 0 property: property of zero ; r = ___0_____

3. Name ______________________________________ Date ________________
Mrs. Labuski / Mrs. Portsmore Period ____________ Unit 4 Quiz Review Lessons 1-4
Lesson 1
Tell whether each number is divisible by 2,3,4,5,6,9, and 10.
Use your divisibility rules, do not use division.
List the numbers on the line.
1.) 54 _______________________________________
2.) 270 ______________________________________
Tell whether each number is prime or composite.
(Use your divisibility rules to help you.)
3.) 51 ______________________________________
4.) 153 ______________________________________
Lesson 2
Use a factor tree to find the prime factorization of each number. Show all
work below the line. Write your answer in exponential form on the line.
5.) 108 ______________________ 6.) 81 _______________________

4. Lesson 3
Use factor trees to find the greatest common factor of each set of numbers.
Show all work below the line. Write your answer on the line.
7. )32 and 42 _______________
Use the list method to find the greatest common factor of each set of numbers.
Show all work below the line. Write your answer on the line.
8.) 24 and 36 ________________

5. Lesson 4
Match.
a. (8 • 2) • 7 = 8 • ( 2 • 7)
9. _____ Associative Property
b. 24•3 = 3•24
10. _____ Commutative Property
c. 9 x 1 = 9
11. _____ Identity Property of One
d. 43 x 0 = 0
12. _____ Identity Property of Zero
e. 27 + 0 = 27
13. _____ Property of Zero
Identify the property shown and the missing number in each equation.
14.) 5 + 7 = x + 5 property: _____________________; x = ____________
15.) 6+(9+8) = (b+9)+8 property: _____________________; b = ___________
16.) 42 + s= 42 property: _____________________; s = ____________
17.) 9 x m = 9 property: _____________________; m = ___________
18.) 12 x r = 0 property: _____________________; r = ____________