Practice Test, Week 7
1. Fill in the blank if you know that these points represent a function. (1,3) (3,3) (1, ____ )
2. What is the Vertical line test, and why does it work?
3. What is the slope of the following equation? 3x -2 = 5-2y + 1
4. Sketch a quick graph of the following: y – 1 = 2 - | x + 1 |
5. If you know that the slope of a line is 2 and it goes through point (3,5), find the equation for the line
6. If you have 2 lines, y = 3x + 2 and y= 3x – 1, what can you tell right away about these 2 lines?
7. Solve the following: (-3)(4)/(-6) – (2)(-3) + (-1)(3) – (-1)(1)
8. Define a practical range.
Assume that f(x) = 3(x ^2) – 2 and g(x) = 4x – 1
9. Find (2f – g) (x)
10. Find (f times 3g) (x)
11. Find f(g(x))
12. Find the inverse of g(x)
13. Solve for y: 3x + 2 – 3y/2 = 5 – x + y
14. Simplify: (x^3 – 3x)(2x^2 – 4x + 1)
15. What is x^0 + y^0
16. Write the following using square root notation: x^(5/2)
17. If you have a red 6 sided dice, a blue 6 sided dice, a coin and a deck of cards, and you roll the 2 dice, flip the coin, and draw a single card from the deck, what is the probability of getting a number less than 3 on the red dice, an even number on the blue dice, a heads on the coin, and a face card for your card?
18. Solve for x: 5 < 3 + 2x/3 < 11
19. Simplify: (x^3)^5/(x^(-2))
20. Simplify: x^(-3/4)/(x^(2/3))
21. Put the following into Scientific Notation: .00000000481
22. Reduce to a number: 4^(3/2) / 4^(1/2)
23. The tolerance for a part is .002 millimeters. The part is usually 58.7 millimeters long. Write an inequality relationship to express the acceptable range of lengths for the part.
24. What is a piecewise function?
25. If you invest $5000 at 14 percent interest for 5 years, how much money will you have after 5 years?
26. An oil spill grows in area at the rate of 18 percent per hour. How long before the size of the spill doubles, if the original spill is 2 acres?
27. What is the effective rate if you invest $10,000 at 5% for 10 years, compounded monthly?
28. If $5000 is invested at 10 percent compounded continuously, how much will you have after 15 years?
29. What is the maximum number of ‘bumps’ that the following equation could have if graphed?
4x^5 – 3x^4 + 2x^3 – 5x^2 + 8x – 9
30 Will the y value for the following equation end up getting bigger or smaller as the x gets more and more negative? 2x^3 + 100x^2 – 5x + 2. Justify your answer (will the equation end up going up or down as you go to the left of your graph)