New SAT Math (Calculator) Practice Test 7
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The complete graph of the function f and a table of values for the function g are shown above. The maximum value of f is k. What is the value of g(k) ?
7
6
3
zero
A photocopy machine is initially loaded with 5,000 sheets of paper. The machine starts a large job and copies at a constant rate. After 20 minutes, it has used 30% of the paper. Which of the following equations models the number of sheets of paper, p, remaining in the machine m minutes after the machine started printing?
p = 5,000 − 20m
p = 5,000 − 75m
p = 5,000(0.3)
p = 5,000(0.7)
The 22 students in a health class conducted an experiment in which they each recorded their pulse rates, in beats per minute, before and after completing a light exercise routine. The dot plots below display the results.
Let s1 and r1 be the standard deviation and range, respectively, of the data before exercise, and let s2 and r2 be the standard deviation and range, respectively, of the data after exercise. Which of the following is true?
s1 = s2 and r1 = r2
s1 < s2 and r1 > r2
s1 > s2 and r1 > r2
s1 ≠ s2 and r1 = r2
In the xy-plane, the point (p,r) lies on the line with equation y = x + b, where b is a constant. The point with coordinates (2p,5r) lies on the line with equation y = 2x + b. If p ≠ 0, what is the value of r⁄2p?
2⁄5
3⁄4
4⁄3
5⁄2
To determine the mean number of children per household in a community, Tabitha surveyed 20 families at a playground. For the 20 families surveyed, the mean number of children per household was 2.4. Which of the following statements must be true?
The mean number of children per household in the community is 2.4.
A determination about the mean number of children per household in the community should not be made because the sample size is too small.
The sampling method is flawed and may produce a biased estimate of the mean number of children per household in the community.
The sampling method is not flawed and is likely to produce an unbiased estimate of the mean number of children per household in the community.
Population of Greenleaf, Idaho
The table above shows the population of Greenleaf, Idaho, for the years 2000 and 2010. If the relationship between population and year is linear, which of the following functions P models the population of Greenleaf t years after 2000?
P(t) t = 862 − 1.6
P(t) = 862 − 16
P(t) = 862 + 16(t − 2,000)
P(t) = 862 − 1.6(t − 2,000)
For the finale of a TV show, viewers could use either social media or a text message to vote for their favorite of two contestants. The contestant receiving more than 50% of the vote won. An estimated 10% of the viewers voted, and 30% of the votes were cast on social media. Contestant 2 earned 70% of the votes cast using social media and 40% of the votes cast using a text message. Based on this information, which of the following is an accurate conclusion?
If all viewers had voted, Contestant 2 would have won.
Viewers voting by social media were likely to be younger than viewers voting by text message.
If all viewers who voted had voted by social media instead of by text message, ontestant 2 would have won.
Viewers voting by social media were more likely to prefer Contestant 2 than were viewers voting by text message.
M = 1,800(1.02)t
The equation above models the number of members, M, of a gym t years after the gym opens. Of the following, which equation models the number of members of the gym q quarter years after the gym opens?
M = 1,800(1.02)q⁄4
M = 1,800(1.02)4q
M = 1,800(1.005)4q
M = 1,800(1.082)q
Which of the following is closest to the percent increase in the billions of pounds of plastic produced in the United States from 2000 to 2003?
10%
44%
77%
110%
refer to the following information.
Between 1985 and 2003, data were collected every three years on the amount of plastic produced annually in the United States, in billions of pounds. The graph below shows the data and a line of best fit. The equation of the line of best fit is y = 3.39 + 46.89 x , where x is the number of years since 1985 and y is the amount of plastic produced annually, in billions of pounds.
Which of the following is the best interpretation of the number 3.39 in the context of the problem?
The amount of plastic, in billions of pounds, produced in the United States during the year 1985
The number of years it took the United States to produce 1 billion pounds of plastic
The average annual plastic production, in billions of pounds, in the United States from 1985 to 2003
The average annual increase, in billions of pounds, of plastic produced per year in the United States from 1985 to 2003
(x2 – 3)(- 3x2 + 5)
Which of the following expressions is equivalent to the one above?
4 −8 x2
4 −2 x2
−2 − 8 x2
−2 − 2
Feeding Information for Boarded Pets
The table above shows the kinds of foods that are fed to the cats and dogs currently boarded at a pet care facility. What fraction of the dogs are fed only dry food?
2⁄7
refer to the following information.
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
The penicillin concentration, in micrograms per milliliter, in the patient’s bloodstream t minutes after the penicillin injection is modeled by the function P defined by P(t) = 200bt⁄5.If P approximates the values in the table to within 10 micrograms per milliliter, what is the value of b, rounded to the nearest tenth?
refer to the following information.
When a patient receives a penicillin injection, the kidneys begin removing the penicillin from the body. The table and graph above show the penicillin concentration in a patient’s bloodstream at 5-minute intervals for the 20 minutes immediately following a one-time penicillin injection.
According to the table, how many more micrograms of penicillin are present in 10 milliliters of blood drawn from the patient 5 minutes after the injection than are present in 8 milliliters of blood drawn 10 minutes after the injection?
In triangle RST above, point W (not shown) lies on . What is the value of cos(∠RSW) − sin(∠WST) ?
The graph of the function f, defined by f(x) x = − 1⁄2(x − 4)2 + 10, is shown in the xy-plane above. If the function g (not shown) is defined by g(x) = −x + 10, what is one possible value of a such that f(a) = g(a)?
On April 18, 1775, Paul Revere set off on his midnight ride from Charlestown to Lexington. If he had ridden straight to Lexington without stopping, he would have traveled 11 miles in 26 minutes. In such a ride, what would the average speed of his horse have been, to the nearest tenth of a mile per hour?
In the xy-plane, the equations x + 2 = 10 y and 3 +6 = x y c represent the same line for some constant c. What is the value of c ?
There are two atoms of hydrogen and one atom of oxygen in one molecule of water. How many atoms of hydrogen are there in 51 molecules of water?
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