MATH HOMEWORK 5
Answers in red.
A. State whether each of the following statements is true or false.
1. Zero is not an integer . false
2. The number 0 is a rational number . true
3. 1.625 is a rational number. true
4. - | - e | = e. false
5. The distance between the points -4 and -7 on the number
line is 11. false
B. Place the proper symbol ( >, < , = ) between the two given numbers to make
a true statement.
6. | 5 | ___<___ | -7 |
7. - | -8 | __>____ - (10)
8. | 3 - e | __>____ ( e – 3 ) hint: e ≈ 2.78
C. Evaluate each of the following.
9. – 6 - | - 3.1 | - | - 4.3 | - 5.6 – (-7) -12
10.
11.
12.
13.
D. Name the property exemplified by each of the following. You must state if
it applies to addition (+)
or multiplication (X), unless it is the distributive property .
14. –zy + zy = 0 Inverse property of addition
15. a ( x + y + z ) = ax + ay + az Distributive Property
16. 2abc + (- 2abc ) = 0 Inverse property of addition
17.
Inverse property of multiplication
18. 0 + ( m + n ) = m + n Identity property of addition
E. Evaluate each of the following.
19.
20.
21. 7 + 4 [9 – 6 (10 – 13)2 – 15] ÷ 12 -13
22. 6 – 9 [1 – 3 (5 – 8)2 – (4 – 63 + 3)] ÷ 27 - 1 -56
23
24.-3 [3x + 2 (4 – x) – (5x + 4) – 8] 12x + 12
25. 25 – 5 [6a – 4 (5 – 3a) + 10 – 3 (4 + a) + 12] -75a
+ 75
F. Evaluate each of the following formulas .
26. F = 
C + 32, when C = 20. 68
27. A=
, when P = 22,000, r = 0.06, n = 6, and
t = 1. $23353.44
28. Sn = [2a1 + (n – 1) d], when a1 = 2, d = 3, and n = 8. 25
29. 
+ , when r = 15, R = 25, and V = 48. 1440
G. Translate each of the following into mathematical expressions .
30. The sum of two numbers is 72. If one number is x, what the other number?
72 - x
31. The difference of a number and its reciprocal is equal to two-thirds of the
number. x – 1/x = 2/3 x
32. Twice a number increased by ten, and the sum divided by seven .
33.The product of two numbers , if one number is three less than twice the other
number. x(2x – 3)
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