Download Math 120 Exam 1

Math 120 Exam 1
1. Plot the point −2. 5, −5. 5
2. a. Find the following five ordered pairs to the equation y  x  2.
−2, ____, −1, _____, 0, _____, 1, _____, 2, _____
b. Graph the line y  x  2
3. Write the following English sentence as an equation in two variables. Then graph the
equation.
The y-value is three more than twice the x-value.
4. The line graph shown to the right shows the attendance at each championship football game
from 1995 through 2003. Find the year on the graph with the greatest attendance, and
approximate the attendance. (I WILL HAVE TO FIGURE OUT A WAY TO GET THIS
GRAPH INTO THE DOCUMENT. AT THE MOMENT, I CAN’T GET IT TO WORK. IF
WE HAVE TO GO OVER THIS ONE IN CLASS MANUALLY, WE CAN DO THAT ON
THURSDAY. SORRY).
5. Solve the equation. Be sure to check your proposed solution by substituting it for the
variable in the original equation.
7x-(3x3)29
6. Solve and check the linear equation.
x6  5  x−1
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7. The average cost of tuition and fees at public four-year colleges in the United States can be
modeled by the following formula, T  165x  2771, where T represents the average cost of
tuition and fees for the school year ending x years after 1996. When will tuition and fees at
public US colleges average $7556?
8. One number exceeds another by 3. The sum of the numbers is 31. What are the numbers?
9. You are choosing between two health clubs. Club A offers membership for a fee of $23
plus a monthly fee of $20. Club B offers membership for a fee of $18 plus a monthly fee of
$21. After how many months will the total cost of each health club be the same? What will be
the total cost for each club?
10. Including a 6% sales tax, an inn charges $136.75 per night. Find the inn’s nightly cost
before tax is added.
11. The length of a new rectangular playing field is 4 yards longer than quadruple the width.
If the perimeter of the rectangular playing field is 548 yards, what are its dimensions?
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12. Solve v  n a  H for H.
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13. Multiply using the product rule.
4x 2 y 2 7x 2 y 3 
14. Evaluate the following: −6x − 7 0
15. Write the expression with positive exponents only. Then simplify, if possible.
16. Simplify the expression using the quotients-to-powers rule.
− 6x
y
x −1
y −5
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17. Simplify the exponential expression. Assume that the variable represents a nonzero real
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number. 30z12
15z
18. Perform the indicated computation. Write the answer in scientific notation.
4  10 5 2. 2  10 4 
19. Perform the indicated computation. Write the answer in scientific notation.
8. 6  10 −2
4. 3  10 8
20. The mass of one methane molecule is 2. 7  10 −12 gram. find the mass of 80, 000
molecules of methane. Express the answer in scientific notation.
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