Download Math 1141 Exam 2 Review chapters 4

Math 1141 Exam 2 Review chapters 4-6
This review does not include all of the material that will be on the exam. Anything
covered in the book, in class, on homework, or on handouts may be on the exam.
Material covered in the labs will not be on the exam. You will not be allowed to use
a calculator on the exam.
1. Find the prime factorization of 10,800.
2. Test 6,543,210 for divisibility by 2, 3, 4, 5, 6, 8, 9, 10, and 11.
3. Determine the number of factors of 216.
4. Find the GCF and LCM of each of the following pairs of numbers.
a. 144, 120
b. 2 3 ⋅ 35 ⋅ 5 7 , 2 7 ⋅ 34 ⋅ 53
5. Find the LCM(18, 24) using the (i) set intersection method and the (ii) prime
factorization method.
6. If a number is divisible by 4 and 2, is it divisible by 8?
7. Find the smallest number that has the factors 2, 3, 4, 5, 6, 7, 8, 9, and 10.
8. Model using the number line model and the chip model.
a. − 4 + (− 5)
b. 5 + (− 3)
c. − 4 − (− 5)
d. 3 − 5
e. 0 − 3
f.
5 × −3
10. True or False
a. For any integer a, − (− a) is a positive integer.
b. Every whole number is an integer.
c. Every integer is a whole number.
d.
− 7 < −5
e.
3
−6
=
−4
8
f.
15 − 13
>
−9
4
11. Dixie had a balance of $115 in her checking account at the beginning of the
month. She deposited $384 in the account and then wrote checks for $153, $86,
$196, $34, and $79. Then she made a deposit of $123. If at any time during the
month the account is overdrawn, a $10 service charge is deducted. At the end of
the month, what was Dixie’s balance?
12. List 3 rational numbers.
13. List 3 integers.
14. Calculate
a. 3 − 7
b.
(− 2) + 3
c.
(− 7 ) − (− 8)
d. 8 − (− 4 )
e.
(− 6)(− 7 )
f.
− 2 13
+
5 20
g.
2 7
⋅
3 9
h.
−3 5
÷
8 6
15. Write out in words.
a. 5 − 2
b. − 6
c. − (− 5)
d. − p
16. Which of the following properties hold for integer subtraction?
a. Closure
b. Commutative
c. Associative
d. Identity
17. Show how to compute 9 − (− 4 ) using the
a. Adding the Opposite Approach
b. Missing Addend Approach
c. Show how to find the quotient (− 16 ) ÷ (− 2 ) .
18. Compute
a. 3.71 + 13.809
b. 14.3 – 7.961
c. 7.3 x 11.41
d. 6.5 ÷ .0013
19. Write 32.198 in expanded form.
20. Write as a decimal or a fraction.
a. .48
b.
1
8
21. Write 3.674 as a fraction.
22. Write
132
as a decimal.
333
23. Inga was making a cake that called for 4 cups of flour. However, she could only
find a two-thirds measuring cup. How many two-thirds measuring cups of flour
will she need to make her cake?
24. Find three fractions that are greater than
25. Are
2
15
and
equivalent?
12
20
26. Write 5
27. Write
28. Find
2
as an improper fraction.
7
91
as a mixed number.
16
12 1
÷ in two different ways.
25 5
29. Illustrate
30.
17 34
÷
19 57
31.
16 15
×
25 36
2 4
×
3 5
2
3
and less than .
5
7
32.
17 7
−
25 15
33.
12 13
+
27 15
34. − − 5 − 4
35. Use the definition of < to verify that –7 < -5.
36. True or False
a. 12 is a factor of 6.
b. 24 is a divisor of 8.
c. 60 is a multiple of 15.
d. 4 | 0.
e. If 12 divides a number, 6 must also divide the number.