Name:________________________
MATH 60 EXAM 2 TAKE-HOME PART (Ch. 5,6,7) DUE 10-12-10
1)
p.322 #2. Find the slope of the line that contains the points whose coordinates are (9,8)
and (2,1).
______________________________
2)
p.322 #3. Find the x- and y-intercepts for 3x – 2y = 24
x-intercept: _____________
y-intercept:______________
3)
p.322 #4. Find the ordered-pair solution of y
4
x 1 that corresponds to x=9.
3
______________________________
4)
p.322 #6
Graph: y
1
x 3
4
5
4
3
2
1
0
-5
-4
-3
-2
-1 -1 0
1
2
3
4
5
-2
-3
-4
-5
5)
p.322#8. Is (6,3) a solution of y
2
x 1?
3
______________________________
Name:________________________
MATH 60 EXAM 2 TAKE-HOME PART (Ch. 5,6,7) DUE 10-12-10
6)
p.323#10. Graph of the solution set of 2 x
y
2
5
4
3
2
1
0
-5
-4
-3
-2
-1 -1 0
1
2
3
4
5
-2
-3
-4
-5
7)
p.323 #12. Graph the line that has slope=2 and y-intercept (0,-4).
5
4
3
2
1
0
-5
-4
-3
-2
-1 -1 0
1
2
3
4
5
-2
-3
-4
-5
8) p.325#14. Find the equation of the line that contains the point whose coordinates are (3,2)
and has slope -1.
______________________________
9) p.323#16. Evaluate f ( x)
4x 2
3 at x = -2
______________________________
Name:________________________
MATH 60 EXAM 2 TAKE-HOME PART (Ch. 5,6,7) DUE 10-12-10
10)
p.323#18. Graph the solution set of y > 2.
5
4
3
2
1
0
-5
-4
-3
-2
-1 -1 0
1
2
3
4
5
-2
-3
-4
-5
11) p.323#20. Graph the line that has slope ½ and y-intercept (0,-3).
5
4
3
2
1
0
-5
-4
-3
-2
-1 -1 0
-2
-3
-4
-5
1
2
3
4
5
Name:________________________
MATH 60 EXAM 2 TAKE-HOME PART (Ch. 5,6,7) DUE 10-12-10
12)
p.323#22. Graph f(x) = -5x
5
4
3
2
1
0
-5
-4
-3
-2
-1 -1 0
1
2
3
4
5
-2
-3
-4
-5
13)
p.416#21
Graph the relation {(-8,-7), (-6,-5), (-4,-2),(-2,0)} and find the domain and
range. Is the relation a function? Circle one: Yes / No
Domain =__________________________
Range = ___________________________
10
9
8
7
6
5
4
3
2
1
-10
-9
-8
-7
-6
-5
-4
-3
-2
0
-1 -1 0
-2
-3
-4
-5
-6
-7
-8
-9
-10
1
2
3
4
5
6
7
8
9
10
Name:________________________
MATH 60 EXAM 2 TAKE-HOME PART (Ch. 5,6,7) DUE 10-12-10
14)
p.324#26.
Drivers over age of 70 years old number about 18 million today, up from about 13 million
drivers ten years ago. Find the average annual rate of change in the number of drivers over age
70 for the past decade (include all necessary units).
______________________________
15) p.324#28. A company that manufactures toasters has fixed costs of $1000 each month. The
manufacturing cost per toaster is $8. An equation that represents the total monthly cost to
manufacture the toasters is C = 8t + 1000.
a)
b)
c)
d)
Write the equation in functional notation. _ ( __ ) = __________________
What is the total cost in a month in which 500 toasters were manufactured? Express
the answer in functional notation. _ ( __ ) = ___________
Using two ordered pairs of this function and the coordinate axes below, graph the
equation for values of s between 0 and 600.
The point (340, 3720) is on the graph. Write a sentence that explains the meaning of
this ordered pair.
Name:________________________
MATH 60 EXAM 2 TAKE-HOME PART (Ch. 5,6,7) DUE 10-12-10
16) p.324#30. The graph below shows the cost, in dollars, per 1000 board feet of lumber over a
six-month period. Find the slope of the line. Write a sentence that states the meaning of the
slope. Write an equation for this line using x to represent the month number and C to represent
the cost.
Slope = ___________________________________________________________
Equation: ______________________________________________
17)
p.365#2
Solve by the addition method:
4x + 3y = 11
5x – 3y = 7
____________
Name:________________________
MATH 60 EXAM 2 TAKE-HOME PART (Ch. 5,6,7) DUE 10-12-10
18) p.365#4. Solve by substitution:
x = 2y + 3
3x - 2y = 5
_______________________
19) p.365#6. Solve by graphing (label the intersection point):
3x + 2y = 6
5x + 2y = 2
20) p.365#8. Solve by substitution:
3x + 5y = 1
2x - y = 5
_______________________
21) p.365#10. Solve by substitution:
3x – 5y = 13
x + 3y = 1
_______________________
22) p.365#12. Is (2,1) a solution of the system below?
3x – 2y = 8
4x + 4y = 3
_______________________
Name:________________________
MATH 60 EXAM 2 TAKE-HOME PART (Ch. 5,6,7) DUE 10-12-10
23) p.365#23. With the wind, a plane flies 240 miles in 2 hours. Against the wind, the plane requires
3 hours to fly the same distance. Find the rate of the plane in calm air and the rate of the wind.
Choose variables to represent the unknown quantities:
_ represents ______________________ ; _ represents _____________________
Use these variables to form equations with the given information.
Rate
Time
Distance
With the wind
Against the wind
Equation to solve for variables:
Conclusion:_________________________________________________________
Name:________________________
MATH 60 EXAM 2 TAKE-HOME PART (Ch. 5,6,7) DUE 10-12-10
24) p.416#25 Subtract:
(5b3 – 4b2 – 7) – (3b2 - 8b + 3)
=_______________________
25) p.416#25 Multiply: (3x – 4)(5x2 – 2x + 1) = ________________________
26) p.416 #27 Multiply (4b – 3)(5b – 8)
= ________________________
27) p. 416 #28 Simplify: (5b + 3)2
= ________________________
28) p. 416 #29
3a 3 b 2
Simplify:
12 a 4 b 2
= ________________________
Name:________________________
MATH 60 EXAM 2 TAKE-HOME PART (Ch. 5,6,7) DUE 10-12-10
29) p.416#30 Divide:
30) p.416#31 Divide:
15 y 2 12 y 3
3y
=_____________________
(a 2 3a 28 ) (a 4)
31) p.416#32 Simplify: ( 3x
4
y )( 3x 2 y )
=__________________
Write answer using only positive exponents.
=__________________
32) p. 400#114 One light year is the distance traveled by light in one year: One light-year is
5,880,000,000,000 miles. Write this number in scientific notation.
=_________________________
33) p.400 #116 Multiply and write answer in scientific notation: (4.2 X 107)(1.8 X 10-5)
=__________________________
Name:________________________
MATH 60 EXAM 2 TAKE-HOME PART (Ch. 5,6,7) DUE 10-12-10
34) At sea level, the boiling point of water is 100° C. At an altitude of 2 km, the boiling point of water
is 93° C. This data can be written in table format, where the input represents the altitude above sea level
and the output represents the boiling point of water.
Altitude above sea level (km), x
0
2
Boiling point of water (°C), y
100°
93°
(a) Plot the two points on the grid below and sketch the line containing them. Extend the line so
that it intersects the vertical axis.
(b) Determine the slope of the line. What are its units of measurement? What is the practical
meaning of the slope in this situation?
(c) Write an equation for the line containing the two points you graphed.
(d) What is the vertical intercept of the line you graphed and whose equation you wrote? What
is the practical meaning of the vertical intercept in this situation?
(e) Use your equation to predict the boiling point of water on the top of Mount Everest, which is
approximately 8.85 km above the sea level. Round to the nearest degree. Write your answer
as a complete sentence.
(f) Use your equation to determine the altitude above the sea level if the boiling point of water is
81 C. Write your answer as a complete sentence.