New SAT Math (Calculator) Practice Test 11
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The line with the equation 4⁄5x + 1⁄3y = 1 is graphed in the xy‑plane. What is the x-coordinate of the x‑intercept of the line?
In the xy-plane, the graph of y = 3x2 − 14x intersects the graph of y = x at the points (0, 0) and (a, a). What is the value of a ?
A laboratory supply company produces graduated cylinders, each with an internal radius of 2 inches and an internal height between 7.75 inches and 8 inches. What is one possible volume, rounded to the nearest cubic inch, of a graduated cylinder produced by this company?
2(5x – 20) – (15 + 8x) = 7
What value of x satisfies the equation above?
A group of friends decided to divide the $800 cost of a trip equally among themselves. When two of the friends decided not to go on the trip, those remaining still divided the $800 cost equally, but each friend’s share of the cost increased by $20. How many friends were in the group originally?
The scatterplot below shows the amount of electric energy generated, in millions of megawatt-hours, by nuclear sources over a 10‑year period.
Of the following equations, which best models the data in the scatterplot?
y = 1.674x2 + 19.76x − 745.7
y = -1.674x2 - 19.76x − 745.7
y = 1.674x2 + 19.76x + 745.7
y = -1.674x2 + 19.76x + 745.7
A motor powers a model car so that after starting from rest, the car travels s inches in t seconds, where s = 16t√t. Which of the following gives the average speed of the car, in inches per second, over the first t seconds after it starts?
4√t
16√t
16t
Two different points on a number line are both 3 units from the point with coordinate −4. The solution to which of the following equations gives the coordinates of both points?
|x + 4| =3
|x − 4| =3
|x + 3| =4
|x − 3| =4
In the xy-plane, the graph of 2x2 − 6x + 2y2 + 2y = 45 is a circle. What is the radius of the circle?
5
6.5
A gear ratio r:s is the ratio of the number of teeth of two connected gears. The ratio of the number of revolutions per minute (rpm) of two gear wheels is s:r. In the diagram below, Gear A is turned by a motor. The turning of Gear A causes Gears B and C to turn as well.
If Gear A is rotated by the motor at a rate of 100 rpm, what is the number of revolutions per minute for Gear C?
50
110
200
1,000
The Downtown Business Association (DBA) in a certain city plans to increase its membership by a total of n businesses per year. There were b businesses in the DBA at the beginning of this year. Which function best models the total number of businesses, y, the DBA plans to have as members x years from now?
y = nx + b
y = nx - b
y = b(n)x
y = n(x)x
An online bookstore sells novels and magazines. Each novel sells for $4, and each magazine sells for $1. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $20, how many novels did she purchase?
2
3
4
5
The weight of an object on Venus is approximately of its weight on Earth. The weight of an object on Jupiter is approximately of its weight on Earth. If an object weighs 100 pounds on Earth, approximately how many more pounds does it weigh on Jupiter than it weighs on Venus?
90
111
140
230
If 3(c + d) = 5, what is the value of c + d?
3⁄5
5⁄3
3
5
To make a bakery’s signature chocolate muffins, a baker needs 2.5 ounces of chocolate for each muffin. How many pounds of chocolate are needed to make 48 signature chocolate muffins?
(1 pound = 16 ounces)
7.5
10
50.5
120
Some values of the linear function f are shown in the table above. Which of the following defines f ?
f(x) = 2x +3
f(x) = 3x +2
f(x) = 4x +1
f(x) = 5x
According to the line graph above, between which two consecutive years was there the greatest change in the number of 3‑D movies released?
2003–2004
2008–2009
2009–2010
2010–2011
A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee, 15% are parents of students, 45% are teachers from the current high school, 25% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?
Jeremy deposited x dollars in his investment account on January 1, 2001. The amount of money in the account doubled each year until Jeremy had 480 dollars in his investment account on January 1, 2005. What is the value of x ?
Andrew and Maria each collected six rocks, and the masses of the rocks are shown in the table above. The mean of the masses of the rocks Maria collected is 0.1 kilogram greater than the mean of the masses of the rocks Andrew collected. What is the value of x ?
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