Download Chapter 4 Practice Problems

Integrated Mathematics 1
Chapter 4 Review Problems
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1. Write all the factors of 36.
2. Which of the numbers 5, 12, 13, or 17 is composite? Explain your reasoning using the
definition of a composite number.
[A] 17
[B] 13
[C] 12
[D] 5
3. Which of the following numbers is prime? Explain your reasoning using the definition of a
prime number.
[A] 21
[B] 15
[C] 47
[D] 25
4. Which factor completes the factor tree?
70
7
7

10

?

5
5. Make a factor tree for 420.
6. Write the prime factorization of the number 60
7. Factor the monomial. 10m2 n
8. Davin and Troy wanted to find out which numbers between 1 and 9 were prime. They tested 2,
3, 4, 5, 6, 7, and 8. Which numbers did they find out were prime?
[A] 2, 3, 5, and 7
[B] 2, 4, 6, and 8
IM 1 Chapter 4 Practice Problems
[C] 3 and 6
[D] 5 and 7
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Find the greatest common factor of the numbers. Show reasoning.
9.
60, 70
[A] 6
[B] 10
[C] 84
[D] 2
Find the greatest common factor of the numbers.
10. 60, 45, 75
Decide whether the numbers are relatively prime. If not, find the greatest common factor.
11.
16, 24
12.
45, 18
Find the greatest common factor of the monomials. Show reasoning
13. 24a 3b 3 , 32a 4b
[A] 4a 3b
[B] a 2b
[C] 8a 3b
[D] 8a 2b
14. 15 f 6 g 5 , 60 f 2 g 8
15. The greatest common factor of two numbers is 10. Both of these numbers are greater than 17
and less than 31. What are the numbers?
[A] 30, 21
[B] 20, 39
[C] 40, 20
[D] 30, 20
16. The prime factorizations of 24, 36, and 270 are shown below.
24  2  2  2  3
36  2  2  3  3
270  2  3  3  3  5
Which of the following is the greatest common factor of 24, 36, and 270?
[A] 6
[B] 30
[C] 216
IM 1 Chapter 4 Practice Problems
[D] 5
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17. A teacher has 28 nails, 98 bolts, and 196 washers. She wants to divide them so that each
portion has an equal number of nails, an equal number of bolts, and an equal number of washers.
What is the maximum number of portions she can make? Show reasoning.
[A] 14
[B] 28
[C] 2
[D] 7
18. Simplify the fraction fully to find an equivalent fraction to
19. Write three fractions equivalent to
80
?
104
2
.
12
Write the fraction in simplest form.
20.
21.
12c 2
30c
[A]
2c
5
[B] 18c
[C]
5
2c
[D] 2c
9b 4
27b
Write the fractions in simplest form. Tell whether they are equivalent.
22.
25 200
,
45 360
23.
3ab 2 3a 2b
,
4ab
4a
IM 1 Chapter 4 Practice Problems
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24. Marietta is repairing her bike and wants to remove a bolt that measures
4
of an inch. She
8
4
. Since wrenches are always stamped with
8
simplified fractions, what size wrench should Marietta use?
cannot find a wrench in her tool box labeled
25.
Jane has 80 flowers that she wants to put into rows. Write at least 4 ways (in numbers of
rows and columns) that she can arrange her flowers so that every row has the same
number of flowers. For example, she could do 1 row of 80 flowers or 80 rows of 1
flower.
IM 1 Chapter 4 Practice Problems
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