Algebra Regents 2

1. On a particular day in New York City, the temperature was $20^{\circ}$ Celsius(C). Using the formula F = $\frac{9}{5}$ C + 32, convert this temperature to degrees Fahrenheit(F).

(a) -6

(b) 44

(d) 102

Question 1 of 30

2. What is the speed, in feet per second, of a runner that runs 56 feet in 7 seconds?

(a) 4

(b) 8

(d) 392

Question 2 of 30

3. A die is numbered from 1 to 6. If the die is rolled once, which outcome is least likely to occur?

(a) an odd number

(b) a number greater than 3

(d) a perfect square

Question 3 of 30

4. Alan scored 8, 8, 11, 16, 19 on his first five chemistry quizzes. What is the relationship between the measures of central tendency of these scores?

(a) mode < median < mean

(b) median < mode < mean

(d) median < mean < mode

Question 4 of 30

5. What is an equation of a line that passes through the points (2, -2) and (-2, -2)?

(a) x = y

(b) y = 2

(d) x = -2

Question 5 of 30

6. What is the slope of the line that passes through the points (3, 1) and (4, 3)?

(a) -2

(b) 2

(d) - $\frac{1}{2}$

Question 6 of 30

7. In the right triangle shown in the diagram below, find the value of x to the nearest tenth.

(a) 12.3

(b) 18.8

(d) 25.9

Question 7 of 30

8. James has $1.15 in change. If he has 2 more dimes than quarters, and 3 more nickels than quarters, which equation can be used to determine x, the number of quarters he has?

(a) 3x + 5 = 1.15

(b) 0.40(x + 5) = 1.15

(d) 0.25(x) + 0.10(x + 2) + 0.05(x + 3) = 1.15

Question 8 of 30

9. The function y = $\frac{x}{x^2 - 4}$ is undefined when the value of x is

(a) 0 or 2

(b) -2 or 2

(d) -2, 0, and 2

Question 9 of 30

10. The length of a rectangle is 5 less than four times the width, w. Which expression represents the perimeter of the rectangle?

(a) 10w - 10

(b) 4w - 5

(d) 10w - 20

Question 10 of 30

11. What is the product of 5.1 x $10^7$ and 7.4 x $10^{-3}$ written in scientific notation?

(a) 37.74 x $10^4$

(b) 3.774 x $10^5$

(d) 3.774 x $10^6$

Question 11 of 30

12. The box-and-whisker plot below represents the scores for a biology quiz in Steven's class.

Which statement is false?

(a) The first quartile is 3.

(b) The third quartile is 6.

(d) The median is 4.

Question 12 of 30

13. What is the solution of $\frac{x + 7}{2}$ = $\frac{7x - 1}{4}$ ?

(a) 0

(b) 1

(d) 3

Question 13 of 30

14. Which expression represents $\frac{15x^9y^8}{3x^3y^2}$

in simplest form?

(a) $5x^3y^4$

(b) $5x^6y^6$

(d) $12x^6v^6$

Question 14 of 30

15. Alex collects baseball cards. He currently has a collection of 75 baseball cards. If he continues to collect b amount of baseball cards each month for m months, which expression represents the total number of baseball cards he will have?

(a) 75bm

(b) 75b + m

(d) 75 + b + m

Question 15 of 30

16. In order to go skydiving, you must weigh at least 85 pounds. If w represents the weight you must weigh, what is the correct translation of this statement?

(a) w > 85

(b) w $\ge$ 85

(d) w $\le$ 85

Question 16 of 30

17. What is $\sqrt{54}$ expressed in simplest radical form?

(a) 3 $\sqrt{6}$

(b) 9 $\sqrt{6}$

(d) 9 $\sqrt{5}$

Question 17 of 30

18. If a car is going 23 meters per second, what is the speed of the car, in meters per hour?

(a) 1,380

(b) 2,760

(d) 82,800

Question 18 of 30

19. The local fitness gym has a total of 90 members. If there are 38 more men than women, how many members are women?

(a) 12

(b) 26

(d) 64

Question 19 of 30

20. What is the additive inverse of a - b?

(a) a + b

(b) a - b

(d) -a - b

Question 20 of 30

21. Which expression represents (2 $x^3y^4$ )( $6x^2y^2$ ) in simplest form?

(a) $12x^5y^6$

(b) $12x^6y^8$

(d) $8x^6y^8$

Question 21 of 30

22. An electronic book website has a one-time registration fee of $17.95 and charges $3.25 to buy each book. If Robert has $65.00 to join the website and buy books, what is the maximum number of books he can buy?

(a) 14

(b) 15

(d) 19

Question 22 of 30

23. The local sandwich shop offers three types of meat: ham, turkey, and salami; three types of bread: white, wheat, and sourdough; and two types of sauces: mayonnaise and honey mustard. If Samantha does not order salami, how many different choices can she make that have one type of meat, one type of bread and one sauce?

(a) 7

(b) 8

(d) 18

Question 23 of 30

24. Beth is lining up her seven CDs on a shelf. How many different possible arrangements can she make?

(a) 16

(b) 27

(d) 5040

Question 24 of 30

25. A bag of M&M's contains seven reds, five greens, three blues, and six yellows. What is the probability of drawing anything but a yellow?

(a) $\frac{2}{7}$

(b) $\frac{5}{7}$

(d) $\frac{3}{5}$

Question 25 of 30

26. Given:
X = {0, 1, 2, 3}
Y = {0, 2, 4, 6}
What is the union of sets X and Y?

(a) {0}

(b) {0, 2}

(d) {0, 1, 2, 3, 4, 6}

Question 26 of 30

27. Steven has strep throat. The doctor prescribes him antibodies to decrease the amount of bacteria in his body. The antibodies work by decreasing the amount of bacteria in his body by half, every hour. The table below shows the amount of bacteria in Steven's body in successive hours.

Which fractional part of bacteria will remain in 8 hours?

(a) $\frac{1}{32}$

(b) $\frac{1}{64}$

(d) $\frac{1}{256}$

Question 27 of 30

28. In the diagram below, what is the slope of the line passing through points A and B?

(a) $\frac{5}{6}$

(b) $-\frac{5}{6}$

(d) $\frac{6}{5}$

Question 28 of 30

29. What is the perimeter of a square whose area is $x^2$ + 4x + 4?

(a) 4x + 8

(b) $2x^2 + 16$

(d) $x^2$ + 8

Question 29 of 30

30. The height, y of a ball tossed into the air can be represented by the equation $y - (x-3)^2 + 4$ , where x is the elapsed time. What is the equation of the axis of symmetry of this parabola?

(a) x = -3

(b) x = 3

(d) y = 3

Question 30 of 30