New SAT Math (Calculator) Practice Test 8
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Theresa ran on a treadmill for thirty minutes, and her time and speed are shown on the graph above. According to the graph, which of the following statements is NOT true concerning Theresa’s run?
Theresa ran at a constant speed for five minutes.
Theresa’s speed was increasing for a longer period of time than it was decreasing.
Theresa’s speed decreased at a constant rate during the last five minutes.
Theresa’s speed reached its maximum during the last ten minutes.
A customer paid $53.00 for a jacket after a 6 percent sales tax was added. What was the price of the jacket before the sales tax was added?
$47.60
$50.00
$52.60
$52.84
A software company is selling a new game in a standard edition and a collector’s edition. The box for the standard edition has a volume of 20 cubic inches, and the box for the collector’s edition has a volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, s, and collector’s edition games, c, that were ordered?
75 − s = c 20s + 30c = 1,870
75 − s = c 30s + 20c = 1,870
s − c = 75 25(s + c) = 1,870
s − c = 75 30s + 20c = 1,870
Lani spent 15% of her 8-hour workday in meetings. How many minutes of her workday did she spend in meetings?
1.2
15
48
72
9ax + 9b − 6 = 21
Based on the equation above, what is the value of ax + b ?
3
6
8
12
refer to the following information.
The scatterplot above shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown.
An astronomer has discovered a new planetoid about 1.2 AU from the Sun. According to the line of best fit, which of the following best approximates the density of the planetoid, in grams per cubic centimeter?
3.6
4.1
4.6
5.5
refer to the following information.
The scatterplot above shows the densities of 7 planetoids, in grams per cubic centimeter, with respect to their average distances from the Sun in astronomical units (AU). The line of best fit is also shown.
According to the scatterplot, which of the following statements is true about the relationship between a planetoid’s average distance from the Sun and its density?
Planetoids that are more distant from the Sun tend to have lesser densities.
Planetoids that are more distant from the Sun tend to have greater densities.
The density of a planetoid that is twice as far from the Sun as another planetoid is half the density of that other planetoid.
The distance from a planetoid to the Sun is unrelated to its density.
Which of the following ordered pairs (x , y) satisfies the inequality 5x −3y < 4?
I. (1, 1)
II. (2, 5)
III. (3, 2)
I only
II only
I and II only
I and III only
A market researcher selected 200 people at random from a group of people who indicated that they liked a certain book. The 200 people were shown a movie based on the book and then asked whether they liked or disliked the movie. Of those surveyed, 95% said they disliked the movie. Which of the following inferences can appropriately be drawn from this survey result?
t least 95% of people who go see movies will dislike this movie.
At least 95% of people who read books will dislike this movie.
Most people who dislike this book will like this movie.
Most people who like this book will dislike this movie.
A certain package requires 3 centimeters of tape to be closed securely. What is the maximum number of packages of this type that can be secured with 6 meters of tape? (1 meter = 100 cm)
100
150
200
300
A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an area of 75 cm2, and the height of the can is 10 cm. If 110 cm3 of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?
7.5 cm3
185 cm3
640 cm3
750 cm3
A survey was given to residents of all 50 states asking if they had earned a bachelor’s degree or higher. The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor’s degree or higher for all 50 states was 26.95%. What is the difference between the median percent of residents who earned a bachelor’s degree or higher for these 7 states and the median for all 50 states?
0.05%
0.95%
1.22%
7.45%
The scatterplot above shows the numbers of grams of both total protein and total fat for eight sandwiches on a restaurant menu. The line of best fit for the data is also shown. According to the line of best fit, which of the following is closest to the predicted increase in total fat, in grams, for every increase of 1 gram in total protein?
2.5
2.0
1.5
1.0
refer to the following information.
Mosteller’s formula: A =
Current’s formula: A =
The formulas above are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimeters.
If Mosteller’s and Current’s formulas give the same estimate for A, which of the following expressions is equivalent to ?
2 (4 + w)
refer to the following information.
Mosteller’s formula: A =
Current’s formula: A =
The formulas above are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimeters.
Based on Current’s formula, what is w in terms of A ?
w = 30 − 4
w = 30A + 4
w = 30(A − 4)
w = 30 + 4 (A + 4 )
The scatterplot above shows data for ten charities along with the line of best fit. For the charity with the greatest percent of total expenses spent on programs, which of the following is closest to the difference of the actual percent and the percent predicted by the line of best fit?
10%
7%
4%
1%
y = 19.99 + 1.50x
The equation above models the total cost y, in dollars, that a company charges a customer to rent a truck for one day and drive the truck x miles.The total cost consists of a flat fee plus a charge per mile riven. When the equation is graphed in the xy-plane, what does the y-intercept of the graph represent in terms of the model?
flat fee of $19.99
A charge per mile of $1.50
A charge per mile of $19.99
Total daily charges of $21.49
If a − b = 12 and b⁄2 = 10, what is the value of a + b ?
2
12
32
52
If 50 one-cent coins were stacked on top of each other in a column, the column would be approximately 37⁄8 inches tall. At this rate, which of the following is closest to the number of one-cent coins it would take to make an 8-inch-tall column?
75
100
200
390
In the figure above, what is the value of x ?
45
90
100
105
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