Question

math

Answer 1

1. Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 90 pounds of algae, how much algae will be in the pond after 12 hours? (1 point)720 pounds
360 pounds
1,440 pounds
114 pounds






2. What is the order of the numbers from least to greatest?

A = 4.6 x 10–4 B = 2.4 x 10–3 C = 3.5 x 105 D = 6.3 x 10–4 (1 point)C < A < B < D
D < A < C < B
B < C < A < D
A < D < B < C






3. Dorothy has decided to raise rabbits but has been warned that the number of rabbits she will have will grow very quickly. Dorothy started out with 20 rabbits and the function y = 20 • 2.3x models the number of rabbits she will have after x months. Which graph represents this function? (1 point)graph
graph
graph
graph






4. Multiply. Give your answer in standard form.

(3n2 + 2n + 4)(2n – 1) (1 point)6n3 + n2 + 6n – 4
6n3 + 7n2 + 6n – 4
6n3 – n2 + 10n – 4
6n3 + n2 + 10n – 4






5. Multiply. (2n + 2)(2n – 2) (1 point)4n2 – 4
4n2 – 4n – 4
4n2 + 2n – 4
4n2 + 4n – 4






6. The area of a rectangular painting is given by the trinomial x2 + 4x – 21. What are the possible dimensions of the painting? Use factoring. (1 point)(x + 7) and (x + 3)
(x – 7) and (x + 3)
(x – 7) and ( x – 3)
(x + 7) and (x – 3)






7. Graph the function and identify the domain and range.

y = –6x2 (1 point)graph

domain: (–∞,∞)

range: y ≤ 0
graph

domain: (–∞,∞)

range: y ≥ 0
graph

domain: (–∞,∞)

range: y ≥ 0
graph

domain: (–∞,∞)

range: y ≥ 0






8. A catapult launches a boulder with an upward velocity of 148 ft/s. The height of the boulder, h, in feet after t seconds is given by the function h = –16t2 + 148t + 30. How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary. (1 point)Reaches a maximum height of 30 feet in 9.25 seconds.
Reaches a maximum height of 640.5 feet in 4.63 seconds.
Reaches a maximum height of 1,056.75 feet in 4.63 seconds.
Reaches a maximum height of 372.25 feet in 4.63 seconds.






9. Solve the equation using the Zero-Product Property.

–2x(5x – 2) = 0 (1 point)x = 0, 2 over 5
x = 0, 2
x = 0, negative 2 over 5
x = 0, –2






10. Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth.

x2 + 10 = –7x (1 point)x = 2, 5
x = –2, 5
x = 2, –5
x = –2, –5



The item below has been reviewed and is scheduled to be updated. All students will receive full credit for any response to the following.


11. A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = 0.06x2 + 10.1x + 5, where x is the horizontal distance, in meters, from the starting point on the roof and y is the height, in meters, of the rocket above the ground. How far horizontally from its starting point will the rocket land? (1 point)168.83 m
5.00 m
84.17 m
168.34 m






12. How many real-number solutions does the equation have?

–7x2 + 6x + 3 = 0 (1 point)one solution
two solutions
no solutions
infinitely many solutions






13. Since opening night, attendance at Play A has increased steadily, while attendance at Play B first rose and then fell. Equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. On what day(s) was the attendance the same at both plays? What was the attendance?

Play A: y = 15x + 76

Play B: y = –x2 + 36x – 4 (1 point)The attendance was the same on day 5. The attendance was 151 at both plays on that day.
The attendance was the same on day 16. The attendance was 316 at both plays on that day.
The attendance was the same on days 5 and 16. The attendance at both plays on those days was 151 and 316 respectively.
The attendance was never the same at both plays.






14. What are the solutions of the system?

y = x2 + 3x – 4
y = 2x + 2 (1 point)(–3, 6) and (2, –4)
(–3, –4) and (2, 6)
(–3, –4) and (–2, –2)
no solution






15. Simplify the radical expression.

square root 405 (1 point)5 square root 9
9 square root 5
negative 9 square root 5
45






16. Simplify the expression.

5 square root 3 plus 3 (1 point)6 square root 3
6 square root 6
5 square root 3
5 square root 6






17. What is the value of sin(83°) to the nearest ten-thousandth? (1 point)0.9925
0.4963
0.1219
0.0609






18. What is the simpler form of the following expression?

(–18x3 + 17x + 6) ÷ (3x + 2) (1 point)–6x2 + 4x + 3
6x2 + 4x – 3
–6x2 + 4x – 3
6x2 – 4x + 3






19. Solve the equation.

(1 over 3x + 9 ) – (2 over x + 3) = 2 (1 point)x = 1
x = –23/6
x = –5/2
x = –5






20. The time t required to drive a certain distance varies inversely with the speed, r. If it takes 2 hours to drive the distance at 67 miles per hour, how long will it take to drive the same distance at 55 miles per hour? (1 point)about 1.64 hours
about 134.00 hours
about 2.45 hours
about 61.00 hours






21. Graph the function and identify the vertical asymptote.

y =( 1 over 1 – 4) – 2 (1 point)graph
x = –4
graph
y = –4
graph
x = 4
graph
y = 4






22. Find the sum or difference.

equation (1 point)13 negative 1 and 1 equation
13 and 1 and 1 equation
13 and negative 1 and 1 equation
13 and negative 1 and 1 over -6 equation






23. The number of hours a group of contestants spent preparing for a quiz show are listed below. What is a frequency table that represents the data?

60 25 86 56 45 48 90 75 30 67 90 36 80 15 32 65 61 (1 point)hours/ frequency table
hours/ frequency table
hours/ frequency table
hours/ frequency table






24. Is the histogram uniform, symmetric, or skewed?

histogram (1 point)uniform
symmetric
skewed






25. What are the minimum, first quartile, median, third quartile, and maximum of the data set?

40, 7, 2, 35, 12, 23, 18, 28 (1 point)minimum = 2

first quartile = 7

median = 20.5

third quartile = 35

maximum = 40
minimum = 2

first quartile = 7

median = 18

third quartile = 31.5

maximum = 40
minimum = 2

first quartile = 9.5

median = 23

third quartile = 35

maximum = 40
minimum = 2

first quartile = 9.5

median = 20.5

third quartile = 31.5

maximum = 40






26. Identify the sampling method.

You want to determine the number of text messages students at your school send in a month. You go to the cafeteria and ask every fourth student that walks in. (1 point)random
systematic
stratified
none of these






27. Simplify.

negative (2xy cubed) times -5 (1 point)negative 32x5y15
negative 32 over x5y15
negative 1 over 32x5y15
negative 1 over 32x4y2






28. What is the simplified form of the expression?

2b–6 • b12 (1 point)3b–72
2b6
2b–72
3b6






29. What is the degree of the monomial?

6x5 (1 point)6
30
5
11






30. What is the factored form of the expression?

s2 – 81 (1 point)(s – 9)(s – 9)
(s – 9)(s + 11)
(s – 9)(s + 9)
(s + 9)(s + 9)






31. Solve the equation by completing the square. Round to the nearest hundredth if necessary.

x2 – 6x = –8 (1 point)x = 4, –2
x = –4, 2
x = 4, 2
x = –4, –2






32. What is the length of the hypotenuse of the right triangle shown below?
hypotenuse (1 point)29
6.4
41
20.5






33. What is the side length b in the triangle shown below?
triangle (1 point)2
4
11.7
8






34. Simplify the radical expression by rationalizing the denominator.

2 over square root 42 (1 point)square root 84 over 42
square root 42 over 21
21 square root 42
square root 2






35. Solve the equation. Identify any extraneous solutions.

square root d equals negative 6 (1 point)36 is a solution to the original equation.
36 is a solution to the original equation. −36 is an extraneous solution.
−36 is a solution to the original equation. 36 is an extraneous solution.
no solution






36. Simplify the rational expression. State any excluded values.

4x – 4 over x – 1 (1 point)x
4; where xdoes not equal4
0
4; where xdoes not equal1






37. Divide.

(10x2 – 13x + 12) ÷ (5x + 1) (1 point)2x minus 3 plus 15 over 5x plus 1
2x minus 5 plus 6 over 5x plus 1
2x minus 3 minus 15 over 5x plus 1
2x + 12






38. Suppose that y varies inversely with x and that y = 2 when x = 8. What is an equation for the inverse variation? (1 point)y equals 8 over 2x
y equals 2 over 8x
y equals x over 16
y equals 16 over x






39. You roll a standard number cube. Find P(number less than 3). (1 point)one over three
2 over 3
3 over 2
5 over 6






40. The box-and-whisker plot shows the average temperatures in Tucson, Arizona in December.

box and whisker plot

Which statement about the temperatures in Tucson must be true? (1 point)About half of the days in December had average temperatures above 60 degrees.
About half of the days in December had average temperatures between 52 and 60 degrees.
The coldest day in December was 52 degrees.
The hottest day in December was 65 degrees.






41. In a word game you choose a tile from a bag, replace it, and then choose another. If there are 14 vowels and 32 consonants, what is the probability you will choose a consonant and then a vowel? (1 point)224 over 1035
112 over 529
529 over 112
9 over 23

Answer 2

wew

Answer 3

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