# 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. S_{n} = [2a_{1} + (n – 1) d], when a_{1} = 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)**

Prev | Next |