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If 9 > 4x + 1, which inequality represents the possible range of values of 12x + 3?
A.
12x + 3 > or = 17
B.
12x + 3 < or = to 17
C.
12x + 3 > or = 27
D.
12x + 3 < or = 27
Correct Answer D. 12x + 3 < or = 27
Explanation Review Solving Linear Inequalities.
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2.
C = 290 + 155hA team of painters is hired to paint the exterior of a museum. The total cost, C, in dollars, incurred by the museum for h hours of painting is given by the equation above. What is the best interpretation of 155 in the equation?
A.
The total cost can be at most $155.
B.
It takes the team 155 hours to paint the exterior.
C.
Each additional hour of painting the exterior costs $155.
D.
$155 is the base cost regardless of how many hours it takes to paint the exterior.
Correct Answer C. Each additional hour of painting the exterior costs $155.
Explanation Review Interpreting Linear Functions.
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3.
Dimitri is helping to plan the school talent show. Each performer for the talent show has 6 minutes for his or her performance, which includes transition time between performances. If the introduction for the talent show is 24 minutes long and the entire show, including the introduction, will last 150 minutes, how many different performances can the talent show accommodate?
A.
21
B.
24
C.
25
D.
29
Correct Answer A. 21
Explanation Review Linear Equation Word Problems.
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4.
A line is graphed in the xy-plane as shown. Which of the following is an equation of the line?
A.
Y = 2/5 x + 2
B.
Y= 2/5 x - 2
C.
Y = -2/5 x + 2
D.
Y = - 2/5x - 2
Correct Answer D. Y = - 2/5x - 2
Explanation Review Graphing Linear Functions
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5.
-5x - 4y = 2a4x - 5y = 2Which of the following choices of a will result in a system of linear equations with exactly one solution?
A.
A can be any number
B.
A can be any number except 0.8
C.
A can be any number except -0.8
D.
A = 0.8
Correct Answer A. A can be any number
Explanation Review Systems of Linear Equations.
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6.
(x + 13/2)(x - 13/2) = 0How many distinct real solutions does the equation above have?
A.
0
B.
1
C.
2
D.
3
Correct Answer C. 2
Explanation Review Solving Quadratic Equations.
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7.
Sqrt(8) * [2sqrt(2) + 8]Which of the following is equivalent to the expression above?
A.
16
B.
40
C.
8 + 16sqrt(2)
D.
32 + 8sqrt(8)
Correct Answer C. 8 + 16sqrt(2)
Explanation Review Radicals and Rational Exponents.
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8.
F(t) = 1,500(1.045)^tThe future value, F(t), of an investment after t years is given by the function defined above. What is the initial value of the investment?
Which of the following expressions is equivalent to (4x^3 - 5x) + (8x - 3x^3) ?
A.
X^3 + 3x
B.
X^3 - 3x
C.
7x^3 - 3x
D.
7x^3 + 3x
Correct Answer A. X^3 + 3x
Explanation Review Operations with Polynomials.
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10.
Which of the following represents all solutions (x,y) to the system of equations shown below? y + x = 6 and y = x^2 -2x - 6
A.
(-4,10) and (3,3)
B.
(4,2) and (-3,9)
C.
(4,-3)
D.
(-4,3)
Correct Answer B. (4,2) and (-3,9)
Explanation Review Linear and Quadratic Systems.
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11.
4^2(20k) - 7Which of the following is equivalent to the expression above?
A.
4^2(20 + k) - 7
B.
4^2(20/k) - 7
C.
20k * 4^2 - 7
D.
(4^2 * 20)/k - 7
Correct Answer C. 20k * 4^2 - 7
Explanation Review Structure in Expressions.
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12.
What is the approximate value of g(f(5))?
A.
3.5
B.
5
C.
7
D.
9
Correct Answer C. 7
Explanation Review Function Notation.
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13.
When driving from Orlando, Florida to Tampa, Florida, a family travels 6 miles in 5 minutes. If they travel at the same rate for the next half hour, approximately how many miles will they travel in that half hour?
A.
30 miles
B.
36 miles
C.
60 miles
D.
72 miles
Correct Answer B. 36 miles
Explanation Review Ratios, Rates, and Proportions.
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14.
Mr. Edwards hired a new employee to work in his bakeshop. In one hour, this employee burned 439 chocolate chip cookies, which represented 25% of all the cookies the employee burned in that day. How many cookies did the new employee burn in the course of the day?
A.
110
B.
351
C.
549
D.
1756
Correct Answer D. 1756
Explanation Review Percents.
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15.
The houses in the "historic district" of a particular town are either historically protected or not. The table partially represents these homes and whether they have foundations made from poured concrete, mortar and field stone, or a combination of both. If only 4.5% of the non-historically-protected homes have a field stone and mortar foundation, how many homes is this? Round to the nearest whole number.
Correct Answer 6
Explanation Review Table Data.
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16.
The scatterplot drawn at left depicts the price of 1 gallon of gasoline in the United States (U.S.), y, in dollars, from 1980 to 2008. If x represents the number of years since 1980, the graph of a quadratic model that fits this data has a vertex at (17.24, 1.33). What does the vertex tell us about U.S. gas prices?
A.
In the year 1997, the price for 1 gallon of gasoline reached its exact maximum value of $1.33.
B.
In the year 1997, the price for 1 gallon of gasoline reached its exact minimum value of $1.33.
C.
In approximately the year 1997, the price for 1 gallon of gasoline reached its approximate maximum value of $1.33.
D.
In approximately the year 1997, the price for 1 gallon of gasoline reached its approximate minimum value of $1.33.
Correct Answer D. In approximately the year 1997, the price for 1 gallon of gasoline reached its approximate minimum value of $1.33.
Explanation Review Scatterplots.
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17.
The cell cycle is the process by which a single cell replicates itself. A student investigates whether cell growth during the cell cycle is linear or exponential. The table at the left gives the length, in micrometers, of an S. pombe (yeast) cell at different times after the cell cycle begins. Which of the following best describes the relationship between time and length of this cell?
A.
It is linear because the length increases by the same factor every 10 minutes.
B.
It is linear because the length increases by the same number of micrometers every 10 minutes.
C.
It is exponential because the length increases by the same factor every 10 minutes.
D.
It is exponential because the length increases by the same number of micrometers every 10 minutes.
Correct Answer C. It is exponential because the length increases by the same factor every 10 minutes.
Explanation Review Linear and Exponential Growth.
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18.
The box-and-whisker plot above shows the average outdoor temperature of a North American City at noon, in degrees Fahrenheit, for each month of the year. What is the range of the temperatures?
A.
17
B.
27
C.
61
D.
111
Correct Answer C. 61
Explanation Review Center, Spread, and Shape of Distributions.
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19.
A random sample of international flights in 2013 showed that 79% of the flights arrived within 15 minutes of their scheduled arrival time, and this estimate had a margin of error of 3% at a 95% confidence level. Which of the following conclusions is best?
A.
Exactly 79% arrived within 15 minutes of their scheduled times.
B.
Exactly 76% arrived within 15 minutes of their scheduled times.
C.
Between 76% and 82% arrived within 15 minutes of their scheduled times.
D.
Between 92% and 98% arrived within 15 minutes of their scheduled times.
Correct Answer A. Exactly 79% arrived within 15 minutes of their scheduled times.
Explanation Review Data Inferences.
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20.
A cake pan is in the shape of a right rectangular prism 20 centimeters (cm) long by 20 cm wide by 5 cm high. The pan contains 1,000 cubic centimeters (cm^3) of batter. Approximately how far is the cake batter from the top of the pan?
A.
1 cm
B.
2.5 cm
C.
5 cm
D.
7 cm
Correct Answer B. 2.5 cm
Explanation Review Volume Word Problems.
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21.
Abby is buying a rectangular widescreen TV that she will hang on the wall between two windows such that the longer side of the TV is horizontal. The windows are 36 inches apart horizontally, and a wide screen TV is approximately twice as wide as it is tall. Of the following, which is the longest that the diagonal of a widescreen TV can measure and still fit between the windows?
A.
32 inches
B.
42 inches
C.
55 inches
D.
60 inches
Correct Answer A. 32 inches
Explanation Review Right Triangle Word Problems.
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22.
What is the value of sin(60)?
A.
- sqrt(3)/2
B.
-1/2
C.
1/2
D.
Sqrt(3)/2
Correct Answer D. Sqrt(3)/2
Explanation Review Angles, Arc Lengths, and Trig Functions
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23.
In the figure shown here, point CCC is the center of the circle, and points AAA, BBB,DDD, and EEE lie on the circle. Line segment \overline{AC}start overline, A, C, end overline has length 101010, and angleBCE BCEB, C, E measures 0.80.80, point, 8 radians. What is the length of arc BDEBDEB, D, E?
Correct Answer 8
Explanation Review Circle Theorems.
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24.
I^4 + 4i^2 + 4Which of the following is equivalent to the complex number shown above?Note: i = sqrt(-1)