Rev

Answers to MA 15910 Review Worksheet for Exam 1, Fall 2015 4 terms, degree 3, leading term is −𝑥 3 5 terms, degree 4, leading term is 𝑛4

1)

a) b)

2)

5x  9 xy  6 x2 y  10 xy 2

3)

a)

4a 2  2a  8

c)

13 22 a 12 15

4)

15r  13

5)

a) b) c) d) e) f) a)

b)

2n3  12n2  5n  5

It is not a function. It is a function. It is a function. It is a function. It is a function. It is not a function. f (3)  7 6a  1 h(3a  2)  9a  7

D  {3, 1, 0, 1, 2, 3, 5, 9} R  {6, 0, 1, 2, 4, 5, 8, 10} D  [0, 4] R  [2, 2] D  (, ) R  [0, ) D  [5, ) R  [0, ) D  (, 2)  (2, ) , Range is difficult to determine D  [0, ) R  (, ) b) g (1)  1

d)

f (15)  241

e)

g (3)  3

f)

h

7)

a)

F (3 )  5

b)

F (h  4 )  2h  9

8)

a)

g (1)  2

b)

x  1

6)

c)

  is not a real number 1 3

c)

g

 5 1 2

The scale on each axis is 1 unit per hash mark. Graph for part (a) is the line with the positive slope (rising) and the graph for part (b) is the line with the negative slope (falling).

9) 10)

164.98 centimeters

11) 12)

6 y 6  12 y5  27 y 4  21y3 18 y 2 12a 2  11a  36

13)

90 x3  135x2  50 x

14)

12n3  5n2  5n  6

15)

24 x3  32 x2  28x 15

16)

a)

17)

8x3  34 x2  5x  12

18)

Area = 4 x2  11x  41

19)

Volume = 2 x3  31x2  110 x  63

20)

x

21)

36x 2 

1 4

b)

48 7 5 x 2

22)

144 x2  120 x  25

x  130 5 2 no solution x

23)

x=7

24)

25)

t  15

26)

27)

$4000 was invested in the bond.

28)

40 mL of the 6% solution was added.

29)

The car had been following the truck for

30)

Distance is 2 miles.

31)

Helen’s time alone is 2/3 hour or 40 minutes. 5 13 5 13 5 2 33) x  ,  x ,  2 2 2 2 2 3

32)

1 only 7

13 14

hours or approximately 55.7 minutes.

35)

5 13 5 13 x  ,  6 6 6 6

37)

5 feet

34)

x

36)

2 feet wide walkway

38)

newer worker: about 11.1 hours to clean the building alone

39)

A

(a)

𝑚=8

B

(a)

m

9

7 5

(b)

9 x  8 y  19

(b)

14 x  10 y  1

40)

vertical: x = 5,

41)

(left to right)

horizontal: y = 3 negative, zero, undefined, positive

a b

42) 43)

45)

x-intercept: (4, 0), y-intercept: (0, -2)

48)

2x  3 y  6

46)

5 31 y  x 6 6

47)

(a)

M  60 x  165

a) b) c)

(b)

$345

𝑚= 𝑃= 65%

28 5 28 5

𝑡+9

49)

(left to right) −3.68, −3.9698, −3.996998, −4.002998, −4.0298, −4.28 Limit appears to be -4.

50 (a)

8 7

(b)

1 4

(c)

1 8

(d)

2 3

(e)

0