New SAT Math (Calculator) Practice Test 3

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Câu 1: 1 điểm

In the 1990s, the park rangers at Yellowstone National Park implemented a program aimed at increasing the dwindling coyote population in Montana. Results of studies of the coyote population in the park are shown in the scatterplot below.

Hình ảnh

According to the data in the scatterplot, which of the following best represents the percent increase between the median of the results of the studies from 1995 and the median of the results of the studies from 1996 ?

A.  

50%

B.  

100%

C.  

150%

D.  

200%

Câu 2: 1 điểm

In the 1990s, the park rangers at Yellowstone National Park implemented a program aimed at increasing the dwindling coyote population in Montana. Results of studies of the coyote population in the park are shown in the scatterplot below.

Hình ảnh

Based on the line of best fit in the scatterplot above, which of the following is the closest to the average annual increase in coyotes in Yellowstone Park between 1995 and 2000 ?

A.  

22

B.  

24

C.  

26

D.  

28

Câu 3: 1 điểm

Luciano measured the amount of water that evaporated over a period of time from a container holding w ounces of water, where w is greater than 12. By the end of the first day, the cup had lost 2 ounces of water. By the end of the 7th day, the cup had lost an additional 8 ounces of water. By the end of the 11th day, the cup had lost half of the water that remained after the 7th day. Which of the following represents the remaining amount of water, in ounces, in Luciano’s container at the end of the 11th day?

A.  

w28\frac{w - 2}{8}

B.  

w2210\frac{w - 2}{2} - 10

C.  

1⁄2w - 10

D.  

w102\frac{w - 10}{2}

Câu 4: 1 điểm

Priya is planning to send her favorite dry rub recipe to a friend who lives in France. Before sending the recipe, Priya wants to convert the American customary units in the instructions into metric units so that her friend will easily be able to understand the measurements. If the recipe calls for a ratio of four ounces of paprika to every seven ounces of chili powder, and if Priya’s friend is planning to make a large batch of dry rub with 91 total ounces of chili powder, approximately how many total grams of paprika and chili powder will the recipe require? (1 ounce = 28.3 grams)

A.  

4,047 grams

B.  

4,521 grams

C.  

4,925 grams

D.  

,149 grams

Câu 5: 1 điểm

Dogs need 8.5 to 17 ounces of water each day for every 10 pounds of their weight. Everett has two dogs-Ringo is a 35-pound black lab mix, and Elvis is a 55-pound beagle. Which of the following ranges represents the approximate total number of ounces of water, w, that Elvis and Ringo need in a week?

A.  

77 ≤ w ≤ 153

B.  

109 ≤ w ≤ 218

C.  

536 ≤ w ≤ 1,071

D.  

765 ≤ w ≤ 1,530

Câu 6: 1 điểm

(12)t + 4 = (34)t – 5

In the equation above, what is the value of t ?

A.  

4

B.  

9

C.  

36

D.  

18

Câu 7: 1 điểm

An advertisement for Royal Rat Rations states: “7 out of 8 veterinarians recommend Royal Rat Rations for your fancy rat.” No other information about the data is provided by the company.

Based on this data, which of the following inferences is most valid?

A.  

Royal Rat Rations provides the best nutrition for fancy rats.

B.  

If you do not feed your rat Royal Rat Rations, your rat will be unhealthy.

C.  

Only one veterinarian does not recommend Royal Rat Rations for your fancy rat.

D.  

Of the veterinarians surveyed by Royal Rat Rations, the majority recommend Royal Rat Rations for your fancy rat.

Câu 8: 1 điểm

Which of the following is equivalent to (12x2 + 4x + 5y) + (3x2 – 2x + 3y) ?

A.  

2x2 - 2x + 8y

B.  

2x2 + 15x + 8y

C.  

15x2 - 2x + 8y

D.  

15x2 + 2x + 8y

Câu 9: 1 điểm

Once a certain plant begins to grow, its height increases at a linear rate. After six weeks, the plant is 54 centimeters tall. Which of the following functions best models the relationship between h(w), the height, in centimeters, of the plant, and w, the number of weeks that the plant has been growing?

A.  

h(w) = 6w

B.  

h(w) = 9w

C.  

h(w) = 54w

D.  

h(w) = 54 + w

Câu 10: 1 điểm

Hannah placed an online order for shirts that cost $24.50 per shirt. A tax of 7% is added to the cost of the shirts, before a flat, untaxed shipping rate of $6 is charged. Which of the following represents Hannah’s total cost for s shirts, in dollars?

A.  

0.07(24.50s + 6)

B.  

1.07(24.50 + 6)s

C.  

1.07(24.50s) + 6

D.  

1.07(24.50 + s) + 6

Câu 11: 1 điểm

Hình ảnh

The graph of f(x) is shown above in the xy-plane. The points (0, 3), (5b, b), and (10b, -b) are on the line described by f(x). If b is a positive constant, what are the coordinates of point C ?

A.  

(5, 1)

B.  

(10, -1)

C.  

(15, -0.5)

D.  

(20, -2)

Câu 12: 1 điểm

(x – 2)2 + y2 = 36
y = -x + 2

The equations above represent a circle and a line that intersects the circle across its diameter. What is the point of intersection of the two equations that lies in quadrant II?

A.  

(-3√2 , 3√2)

B.  

(-4, 2)

C.  

(2 + √3 , 2)

D.  

(2 - 3√2 , 3√2)

Câu 13: 1 điểm

United States Investment in
Alternative Energy Sources

Actual 2007 InvestmentProjected 2017 Investment
Biofuels0.310.34
Wind0.400.32
Solar0.270.30
Fuel Cells0.020.04
Total1.001.00

The table above shows the relative investment in alternative energy sources in the United States by type. One column shows the relative investment in 2007 of $75 million total invested in alternative energy. The other column shows the projected relative investment in 2017 given current trends. The total projected investment in alternative energy in 2017 is $254 million. Suppose that a new source of alternative energy, Cold Fusion, is perfected. It is projected that by 2017 that $57 million will be invested in Cold Fusion in the United States, without any corresponding reduction in investment for any other form of alternative energy. What portion of the total investment of alternative energy in the United States will be spent on biofuels?

A.  

0.18

B.  

0.22

C.  

0.28

D.  

0.34

Câu 14: 1 điểm

-24 – 8j = 12k
3 + 53k = –76j

Which of the following ordered pairs (j, k) is the solution to the system of equations above?

A.  

(6, -6)

B.  

(3, 0)

C.  

(0, 2)

D.  

(-4, 1)

Câu 15: 1 điểm

If –207 < -3z + 6 < –115, what is the greatest possible integer value of 9z – 18 ?

A.  

6

B.  

7

C.  

8

D.  

9

Câu 16: 1 điểm

In a certain sporting goods manufacturing company, a quality control expert tests a randomly selected group of 1,000 tennis balls in order to determine how many contain defects. If this quality control expert discovered that 13 of the randomly selected tennis balls were defective, which of the following inferences would be most supported?

A.  

98.7% of the company's tennis balls are defective

B.  

98.7% of the company's tennis balls are not defective

C.  

9.87% of the company's tennis balls are defective

D.  

9.87% of the company's tennis balls are not defective

Câu 17: 1 điểm

Lennon has 6 hours to spend in Ha Ha Tonka State Park. He plans to drive around the park at an average speed of 20 miles per hour, looking for a good trail to hike. Once he finds a trail he likes, he will spend the remainder of his time hiking it. He hopes to travel more than 60 miles total while in the park. If he hikes at an average speed of 1.5 miles per hour, which of the following systems of inequalities can be solved for the number of hours Lennon spends driving, d, and the number of hours he spends hiking, h, while he is at the park?

A.  

1.5h + 20d > 60 h + d ≤ 6

B.  

1.5h + 20d > 60 h + d ≥ 6

C.  

1.5h + 20d < 60 h + d ≥ 360

D.  

20h + 1.5d > 6 h + d ≤ 60

Câu 18: 1 điểm

If (C+x)x3=x+83\frac{\left(C + x \right)}{x – 3} = \frac{x + 8}{3} , which of the following could be an expression of C in terms of x ?

A.  

3(1 + x)

B.  

x2 + 2x - 24

C.  

1⁄3(x + 6)(x - 4)

D.  

1⁄3(x - 3)(x + 8)

Câu 19: 1 điểm

Bryan, who works in a high-end jewelry store, earns a base pay of $10.00 per hour plus a certain percent commission on the sales that he helps to broker in the store. Bryan worked an average of 35 hours per week over the past two weeks and helped to broker sales of $5,000.00 worth of jewelry during that same two-week period. If Bryan’s earnings for the two-week period were $850.00, what percent commission on sales does Bryan earn?

A.  

1%

B.  

2%

C.  

3%

D.  

4%

Câu 20: 1 điểm

Bailey’s Boutique Clothing is having a 20% off sale during which shirts cost $30.00 and pants cost $60.00. On the day of the sale, Bailey’s sells 23 a total of 60 shirts and pants and earned a total of $2,250. On a regular day, Bailey’s sells the number of shirts and pants sold during the sale and earns a total of $1,875. Solving which of the following systems of equations yields the number of shirts, s, and the number of pants, p, sold during a regular day?

A.  

s + p = 40 37.5s + 75p = 1,875

B.  

s + p = 40 30s + 60p = 2,250

C.  

s + p = 60 30s + 60p = 2,250

D.  

s + p = 2,250 30s + 60p = 60


 

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