SAT数学练习2.1

1.The following function gives the amount of money owed on a short term loan after t weeks.
Which numerical expression best approximates the annual interest rate, excluding any late fees? (1 year=52 weeks.)
A.
B.
C.26·0.25
D.26 · 1.25
2.The rabbit population in an isolated forest rises and falls depending on the population of predators.
Within the year 2014, the population, p, in thousands of rabbits mmm months after January 1, 2014 is: p=0.05(m−1.5)(m−8.5)+10
The population reached ten thousand some time in February. At what other time, given as months after January 1, 2014, did the rabbit population reach ten thousand?
3.The "hang time" of a football is the amount of time the football stays in the air after being kicked. The
height, in meters, of the football above the ground at time t can be modeled by the quadratic function: Which of the following equivalent expressions displays the hang time of the football as a constant or coefficient?
A.
B.
C.
D.
4.Kaia throws a stone vertically upward from a bridge. The height, in meters, of the stone above the
water at time t can be modeled by the quadratic function:
After how many seconds does the stone hit the water?
A. 1 second
B. 2 seconds
C. 4 seconds
D.8 seconds
5.More than 450 students traveled to a state park for a field trip. The school allowed 6 students to travel
by car, and the rest traveled on 11 buses, each of which held the same number of students. If there were s students in each bus, which inequality best represents this situation?
A.
B.
C.
D.
6. A barber charges $12 for a haircut. His operating expenses are, on average, $37 per day. He calculates
his profit by subtracting his operating costs from the money he earns from the haircuts he gives. In a given day, the barber expects to make a profit of at least $86. If the barber gives h haircuts in a day, which inequality best models this situation?
A.
B.
C.
D.
7. A distributor ships DVDs to several stores. The shipping boxes contain several DVDs (in their cases)
plus a layer of padding at each end of the box. The DVD cases and layers of padding can be arranged neatly inside each box. Each DVD case is 14 mm (millimeters) thick, each layer of padding is 10 mm thick, and the length of the interior of the box is 132 mm. If d represents the number of DVDs that the distributor can fit into one box with two layers of padding, which of the following inequalities best models the situation?
A.
B.
C.
D.
8.To rent a car for one week, a car rental company charges a $200 base price as well as $0.45 per mile.
Jennifer will rent a vehicle at this company, but she has a $275 budget. Which of the following is a possible number of miles that Jennifer can drive without exceeding her budget?
A.166 miles
B.167 miles
C.168 miles
D.169 miles
9.Woo-Jin would like to bring several books from his favorite series in his backpack. The backpack can
hold up to a depth of inches of materials. Woo-Jin's laptop and a notebook fill a total of 3 inches of that depth. Each book would fill 1.5 inches of the depth of the backpack. Only one stack of books can fit the height and width of the backpack. If x represents the number of books that Woo-Jin could carry in his backpack, which of the following inequalities best models the situation described above?
A.
B.
C.
D.
10.In the year 2000, the average American consumed 8.3 gallons of whole milk per year. This amount has
been decreasing by 0.3 gallons per year. Which inequality can be used to find the number of years, t, since 2000 when whole milk consumption was greater than 6.0 gallons per person per year?
A.
B.
C.
D.
11.An amusement center charges a $45 flat fee for any birthday party plus $3.50 for each guest after the
first one. Josiah wants to spend no more than $200 for his birthday party. If there are x guests, which of the following inequalities best models the situation above?
A.
B.
C.
D.
12.Hamadi is renting a car. With his extreme coupons, the rental charge is $17.50 per day plus $0.16 per
mile. His company will reimburse Hamadi for $33 of this portion of the travel expenses. If he rents the car for one day, what is one possible number of miles paid for by the company?
A.53
B.97
C.110
D.150
13.Dalia makes a cranberry apple punch that contains 20% real juice by mixing x gallons of
a cranberry drink with y gallons of an apple drink. The cranberry drink contains 40% real
juice and the apple drink contains 10% real juice. Which of the following equations represents the relationship between x and y?
A.0.4x+0.1y=20
B.0.4x+0.1y=x+y
C.0.20(x+y)=x+y
D.0.2(x+y)=0.4x+0.1y
14.Gary learned that the value of his car depreciates by 15% per year. Which of the
following functions best describes the value of his car the year after the car is worth m dollars?
A.f(m)=0.15m
B.f(m)=0.85m
C.f(m)=1−0.15m
D.f(m)=1−0.85m
15.Javier has a cell phone plan that allows him to use up to 4 gigabyte (GB) of data per
month. Streaming videos is the only action he does on his phone which uses up this data.
Each time he streams a video, the amount of gigabytes of his phone's data plan decreases.
Specifically, his cell phone company estimates that approximately 0.12 GB of data are used for every 30minutes of video streaming. If Javier has spent m minutes this month streaming videos, which of the following best approximates the amount of data, d, he has remaining on his plan?
A.d=4−0.12m
B.d=4+0.12m
C.d=4−0.004m
D.d=4+0.004m
16.Li Jing has already read of her 384 page book. She figures that she reads at a constant
rate and can read about 45 pages in 11 hour. If m m is the amount of time, in minutes, that Li Jing has spent reading the final of the book, which of the following best approximates the number of pages, p, that she has left?
A.p=128−45m
B.p=256−45m
C.p=128−43m
D.p=256−43m
17.Between 2008 and 2012, the revenue obtained from digital music album downloads, r, in
millions of dollars, in the United States increased by approximately 132 million dollars per year. In 2010, the digital music revenue in the U.S. was about 872 million dollars. If t represents years since 2008, which of the following best models the situation for
?
A.r(t)=132t
B.r(t)=132t+608
C.r(t)=132t+872
D.r(t)=132t+1136
18.David's vehicle has a 21 gallon gas tank. If he drives only on highways, he can go
about 525miles on one tank of gas. If he drives only in the city, he can go about 378 miles on one tank of gas. David drove 455 miles on his last tank of gas. If x is the amount of gallons used on highway driving and y is the gallons used on city driving, which of the following best models the relationship between x and y in this situation?
A.25x+18y=21
B.25x+18y=455
C.525x+378y=21
D.525x+378y=455
19.Mikayla is a waitress who makes a guaranteed $50 per day in addition to tips of 20% of
all her customer receipts, t. She works six days per week. Which of the following functions best represents the amount of money that Mikayla makes in one week?
A.f(t)=50+20t
B.f(t)=300+20t
C.f(t)=50+0.2t
D.f(t)=300+0.2t
20.John's seafood restaurant is trying to estimate its profits. John has found that on average,
each meal served costs the restaurant $14.56 and takes in $17.12. John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40.
If c customers order a meal, and half of those customers order a beverage, which of the following functions models the restaurant's total profit?
A.f(c)=17.12c−14.56c+5.40(c)−1.20(c)
B.f(c)=17.12c−14.56c+5.40c−1.20c
C.f(c)=14.56c−17.12c+1.20c−5.40c
D.f(c)=14.56c−17.12c+1.20(c)−5.40(c)
21.z+w−3=k
6z−10w=8
Consider the system of equations above, where k is a constant. For which value of k are there infinitely many (w, z) solutions?
A.
B. 5
C.8
D.None of the above
22.−5x−4y=2a
4x−5y=2
Which 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
23.
Consider the system of equations above. Which of the following statements about this system is true?
A.There is only one (x, y) solution and x+y is positive.
B.There is only one (x, y) solution and x+y is negative.
C.There are infinitely many (x, y) solutions.
D.There are no (x, y) solutions.
24.
Consider the system of equations above. Which of the following statements is true?
A.There is only one solution (x, y) and x+y is positive.
B.There is only one solution (x, y) and x+y is negative.
C.There are infinitely many solutions.
D.There are no solutions.。