1. What is the solution set for |2r – 3| = 7
a. {-5, 5} b. {-2, 5} c. {2, 5} d. {5}
2. If the vertex of a function, y = f(x), is at (-1, 4), then where would the new vertex be in the new graph was
y = f(x - 3) + 2
a. (-4, 2) b. (2, 2) c. (-4, 6) d. (2, 6)
3. When Leigh exchanged US dollars for Euros, the exchange rate from US dollars was directly proportional to the Euros. The exchange rate was 3.6 Euros for every 5 US dollars, so if she exchanged 270 US dollars, how many Euros did she receive?
a. 15.25 b. 75.5 c. 194.4 d. 375.8
4. What is the solution set for |-x + 2| = 2x – 1
a. No solution b. {-1} c. {-1, 1} d. {1}
5. What is the solution set for 2 + |x – 6| > 11
a. -15 < x < 15 b. x < -15 or x > 15 c. 2 < x < 10 d. x < 10
6. Solve |x + 3| = -4
a. {-7, 1} b. {1} c. {7, -1} d. No solution
7. If y = 3x – 1, what is y when x = {-1, 0, 1}
a. {-4, -1, 2} b. {-2, -1, 2} c. {-2, 0, 0} d. {-4, -1, 0}
8. Z varies jointly with x and y. If z = 1/3 when x = 16 and y = .5, find z when x = 21 and y = 32
a. 8 b. 14 c. 28 d. 16
9. Solve |5x + 6| > -9
a. x > - 3 b. All reals c. x > -3 or x < 3/5 d. -3 < x < 3/5
10. R varies directly as the square of S and inversely as the cube of T. If R = 2.3 when S = 4 and T = 2, find S when R = 3.5 and T = 5
a. 380.4 b. 19.5 c. 7.2 d. 18.4
11. What is the minimum value of y = |2x – 3| - 4
a. (3, -4) b. (-3, -4) c. (0, 1) d. (1.5, -4)
12. Write a system of equations represented by
a. 2x – y= -5 b. 2x + 4y = -5 c. 2x – y = 4 d. 2x + 4y = 4
4x +7y = 4 -x + 7y = 4 4x + 7y = -5 -x + 7y = -5
13. Find the area of the triangle with the vertices (-5, -4), (-8, 2), and (-2, 6).
a. -48 square units b. 48 square units c. 24 square units d. -24 square units
14. X is to be eliminated by adding the system of equations. If each side of the first equation is multiplied by 2, by what number would both sides of the second equation need to be multiplied?
a. 4 b. 2 c. -2 d. -4
15. What is an identity matrix for a 3 x 3 matrix?
a. b. c. d.
16. Solve the matrix equation
a. (9, 8) b. (-27/13, 4/3) c. (8, 9) d. (-9, -5)
17.Find the inverse of the given matrix:
a. b. c. -12 d.
18. Which of the following represent a direct variation?
a. y = 2x – 1 b. xy = 4 c. x = .5y d. y = 2x
19. For , which set describes x when y<8
a. b. c. d.
20. The graph of is given
Which is the graph of
a.
21. Which of the following would you use to solve these simultaneous equations?
a. b. c.
22. Nagel’s Bagel Shop makes a monthly report to summarize the cost of making a single bagel of each type and the price at which it is sold. Matrix C represents cost, and matrix P represents selling price.
Which matrix represents the profit on a single bagel of each type?
a. b.
c. d.
23. The national Dairy Council charges each diary an advertising fee for every gallon of milk sold. Matrix A showed the gallons of milk sold at Windsor Dairy over a two-week period. Matrix B shoes the dollar amount per gallon.
If matrix C is the product of Ab and B, which element in Matrix C represents the total advertising feed for Week 1
a. C 1,1 b. C 2,1 c. C 1,2 d. C 2,2
24.Two slices of pizza and one drink cost Mary Ann $4.50. Three
slices and two drinks cost Elmo $7.25. Set up a matrix equation
to find the cost of one slice of pizza (x) and one drink (y). What would be the inverse matrix that could be used to solve the equation?
a.
b.
c.
AWhole / Low Fat / Skim
Week 1 / 181 / 450 / 102
Week 2 / 194 / 530 / 127
B
Revenues / Adv. fee
Whole / 2.89 / 0.29
Low Fat / 2.79 / 0.32
Skim / 2.69 / 0.35
d.
25. For a campaign, a company gave away 5,000 toys to children. Toys x and y cost the company $1.29 and $0.98, respectively. The company spent a total of $5,613. How many of toy x did the company give away?
a. 229 b. 2,000
c. 2,200 d. 2,300