Part I -
1. Draw the graph of the following linear function and give the domain and range.
f(x) = -½x + 5
2. Solve the following equation.
|x| = 3.
3. Give the inequality whose graph is shown below.
4. Evaluate the following expression when x = 3 and y = 2.
2xy - x2y
5. Completely factor the following expression.
16x4 - 81y4
6. Perform the following division.
(y2 + 10y + 21) ÷ (y + 7)
7. Solve the inequality below and write the solutions in interval notation.
|2m + 3| < 13
8. Write the numeral 0.0685 in scientific notation.
9. Given f(x) = -6x - 1, find f(2).
10. Write the equation of the line with a slope of 2 and passing through the point (-5, 3).
11. Simplify the following expression completely:
(ab-3/3a-2b2)2
12. Solve the system of equations given below.
x + 3z = 12
-x - 2y + z = 10
3x + 5y + 2z = -7
13. Do the following two lines intersect? Answer yes or no, together with the point of intersection; if any
5x - 8y = -5
-x - 1.6y= 14
14. Compute the determinant.
4 0 -1
3 6 -2
-2 5 1
15. Compute the distance between the two points (1- √2, -1) and (2 +√2, 4).
16. Rationalize the denominator of (2√7)/(x+√7).
17. At what x values does the parabola y = x2- 5x + 4 intersect the x axis?
18. The surface area (A) of a sphere with radius (r) is given by A = 4πr2. Solve this formula for r.
Part II -
Part A: Answer each of the following questions in one to three paragraphs.
1. Why is the right of private property an essential characteristic of a market system?
2. Rivalry and excludability are the two characteristics of goods that are produced through the competitive market system. Compare and contrast the difference in private and public goods based on these two characteristics Then, explain the concept of the free-rider problem with public goods.
3. How do economists distinguish between the absolute and relative sizes of the United States public debt? Why is the distinction important?
Part B: Answer each of the following questions in one to four sentences.
1. State at least one economic benefit to increased international trade.
2. Why might a corporation prefer to obtain financing through bonds instead of stocks? In contrast, why might a corporation prefer to obtain financing through stocks instead of bonds?
3. Is a credit card considered to be money? Explain.
4. Explain what is meant by a command economy.
5. What are the two main investor preferences, and how do they conflict?
Part III -
PART A: Answer each of the following questions in one or two paragraphs.
1. Describe the five types of prezygotic reproductive barriers. Give a brief description of each.
2. Ralph wants to breed two of his prize bulldogs. For the dominant alleles, he has selected small ears (E) and a curly tail (T). Linus, the male bulldog, it homozygous dominant for both traits, Lucy, the female, is heterozygous dominant for both traits.
a. What are Linus's and Lucy's genotypes?
b. What percent of their pups will have small ears and curly tails?
c. What percent will have large ears (e) and straight tails (t)?
3. Beginning with fertilization, describe the main stages of animal development, Give a brief description of each stage.
PART B: Answer each of the following questions in one to four sentences.
1. From G1 through M, what are the stages of the cell cycle, and what is the main occurrence in each stage?
2. Briefly describe the three-domain system of classification.
3. Explain the difference between e scientific theories and a scientific law.
4. Name the three types of RNA and describe their functions.
5. What are the functions of the three specialized tissues in plants? In which of these tissues does photo-synthesis occur?
6. Name the functions of four of the six types of membrane proteins.
7. Briefly explain the functions of sensory neurons, interneurons, and motor neurons in the nervous system.
8. Explain the differences between open and closed circulatory systems.
9. Explain the difference between ionic bonds and covalent bonds.
10. Explain why sex-linked traits are more common in boys than girls.