Basic Mathematics for College Students

Chapter 8 Test 707

14. Simplify by combining like terms, if possible.

a.

b. 34 aa 7 a

c.  8 b^2  29 b^2

d. 9 z 6  2 z 19

15. Simplify:


16. Use a check to determine whether 7 is a solution of
    .

Solve each equation and check the result.

17. 
    

18. 
    

19. 
    

20. 
    

21. 
    

22. 
    

23. 
    

24. 
    

25. 
    

26. 
    

27. 
    

28. 
    

Form an equation and solve it to answer each question.

29. HEARING PROTECTION When an airplane
    mechanic wears ear plugs, the sound intensity that he
    experiences from a jet engine is only 81 decibels. If
    the ear plugs reduce sound intensity by 29 decibels,
    what is the actual sound intensity of a jet engine?


30. PARKING After many student complaints, a college
    decided to triple the number of parking spaces on
    campus by constructing a parking structure. That
    increase will bring the total number of spaces up to
    6,240. How many parking spaces does the college
    have at this time?

b 15



15

16

x 15  0

2(4x1)3(4 3 x) 3 x

3.6r9.8

8 x 6  3 x 7

15 a 10  20

7

8

n 21

d

1

3



1

6

q

3

 27

5 t 55

1.8y1.3

x 6  10

2 y 1 y 8

4(2y3)5(y3)

20 y 8 y

31. ORCHESTRAS A 98-member orchestra is made up
    of a woodwind section with 19 musicians, a brass
    section with 23 players, a 2-person percussion section,
    and a large string section. How many musicians make
    up the string section of the orchestra?

32. RECREATION A

developer donated a

large plot of land to a

city for a park. Half of

the acres will be used

for sports fields. From

the other half, 4 acres

will be used for

parking. This will leave 18 acres for a nature habitat.

How many acres of land did the developer donate to

the city?

33. NUMBER PROBLEM The sum of two numbers is
    63. One number is 17 more than the other. What are
    the numbers?


34. PICTURE FRAMING A rectangular picture frame
    is twice as long as it is wide. If 144 inches of framing
    material were used to make it, what is the width and
    what is the length of the frame?


35. Identify the base and the exponent of each
    expression.
    a.
    b.


36. Simplify each expression, if possible.
    a. b.
    c. d.


37. Simplify each expression.
    a. h^2 h^4 b.
    c. d.
    e. f. (12a^9 b)^2
    g. (2x^2 )^3 (3x^3 )^3 h.(t^2 t^3 )^3


38. Explain what is wrong with the following work:

54  53  257

(a^2 b^3 )(a^4 b^7 )

b^2 bb^5 (x^3 )^4 (x^2 )^3

(m^10 )^2

x^2 x x^2 x

x^2 x^2 x^2 x^2

7 b^4

65

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