New SAT Math (Calculator) Practice Test 6
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refer to the following information.
The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces.
Water pours into the glass slowly and at a constant rate. Which of the following graphs best illustrates the height of the water level in the glass as it fills?
refer to the following information.
The glass pictured above can hold a maximum volume of 473 cubic centimeters, which is approximately 16 fluid ounces.
What is the value of k, in centimeters?
2.52
7.67
7.79
10.11
x + 1 =
In the equation above, which of the following is a possible value of x + 1 ?
1 − √2
√2
2
4
In the xy-plane, the graph of which of the following equations is a line with a slope of 3 ?
y = 1⁄3x
y = −3 x
y = 3 + 2 x
y = 6 + 3
Two types of tickets were sold for a concert held at an amphitheater. Tickets to sit on a bench during the concert cost $75 each, and tickets to sit on the lawn during the concert cost $40 each. Organizers of the concert announced that 350 tickets had been sold and that $19,250 had been raised through ticket sales alone. Which of the following systems of equations could be used to find the number of tickets for bench seats, B, and the number of tickets for lawn seats, L, that were sold for the concert?
40 + 75L = 19,250 + L = 350
75B + 40L = 350 B + L = 19,250
75B + 40L = 19,250 B + L = 350
In the figure above, lines A and m are parallel, y = 20, and z = 60. What is the value of x ?
120
100
90
80
The scatterplot above shows data collected on the lengths and widths of Iris setosa petals. A line of best fit for the data is also shown. Based on the line of best fit, if the width of an Iris setosa petal is 19 millimeters, what is the predicted length, in millimeters, of the petal?
21.10
31.73
52.83
55.27
In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?
150
200
250
300
Tracy collects, sells, and trades figurines, and she tracks the number of figurines in her collection on the graph below.
On what interval did the number of figurines decrease the fastest?
Between 1 and 2 months
etween 2 and 3 months
Between 3 and 4 months
Between 4 and 5 months
One pound of grapes costs $2. At this rate, how many dollars will c pounds of grapes cost?
2c
2 + c
2⁄c
c⁄2
The average annual energy cost for a certain home is $4,334. The homeowner plans to spend $25,000 to install a geothermal heating system. The homeowner estimates that the average annual energy cost will then be $2,712. Which of the following inequalities can be solved to find t, the number of years after installation at which the total amount of energy cost savings will exceed the installation cost?
25,000 > (4,334 − 2,712)t
25,000 < (4,334 − 2,712)t
25,000 − 4,334 > 2,712t
25,000 > t
The range of the polynomial function f is the set of real numbers less than or equal to 4. If the zeros of f are −3 and 1, which of the following could be the graph of y = f(x) in the xy-plane?
The figure below shows the relationship between the percent of leaf litter mass remaining after decomposing for 3 years and the mean annual temperature, in degrees Celsius (°C), in 18 forests in Canada. A line of best fit is also shown.
A particular forest in Canada, whose data is not included in the figure, had a mean annual temperature of −2°C. Based on the line of best fit, which of the following is closest to the predicted percent of leaf litter mass remaining in this particular forest after decomposing for 3 years?
50%
63%
70%
82%
Ages of 20 Students Enrolled in a College Class
The table above shows the distribution of ages of the 20 students enrolled in a college class. Which of the following gives the correct order of the mean, median, and mode of the ages?
mode < median < mean
mode < mean < median
median < mode < mean
mean < mode < median
Number of Adults Contracting Colds
The table shows the results of a research study that investigated the therapeutic value of vitamin C in preventing colds. A random sample of 300 adults received either a vitamin C pill or a sugar pill each day during a 2-week period, and the adults reported whether they contracted a cold during that time period. What proportion of adults who received a sugar pill reported contracting a cold?
A granite block in the shape of a right rectangular prism has dimensions 30 centimeters by 40 centimeters by 50 centimeters. The block has a density of 2.8 grams per cubic centimeter. What is the mass of the block, in grams? (Density is mass per unit volume.)
336
3,360
16,800
168,000
Which of the following is a value of x for which the expression is undefined?
−3
−2
zero
2
If a–1⁄2 = x, where a > 0, what is a in terms of x ?
√x
−√x
1⁄x2
− 1⁄x2
Roberto is an insurance agent who sells two types of policies: a $50,000 policy and a $100,000 policy. Last month, his goal was to sell at least 57 insurance policies. While he did not meet his goal, the total value of the policies he sold was over $3,000,000. Which of the following systems of inequalities describes x, the possible number of $50,000 policies, and y, the possible number of $100,000 policies, that Roberto sold last month?
x + y < 57 50,000x + 100,000y < 3,000,000
x + y > 57 50,000x + 100,000y > 3,000,000
x + y < 57 50,000x + 100,000y > 3,000,000
x + y > 57 50,000 + 100,000 < 3,000,000
refer to the following information.
Jenny has a pitcher that contains 1 gallon of water. How many times could Jenny completely fill the glass with 1 gallon of water? (1 gallon = 128 fluid ounces)
16
8
4
3
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