SAT Pastpaper with Solutions

A text messaging plan charges a flat fee of $5 per month for up to 100 text messages sent plus $0.25 for each additional text message sent that month. Which of the following graphs represents the cost, y, of sending x texts in a month?

Jake buys a bag of popcorn at a movie theater. He eats half of the popcorn during the 15 minutes of previews. After eating half of the popcorn, he stops eating for the next 30 minutes. Then he gradually eats the popcorn until he accidentally spills all of the remaining popcorn. Which of the following graphs could represent the situation?

If 20 - x = 15, what is the value of 3x?

f(x)=

For the function f defined above, what is the value of f( - 1)?

A retail company has 50 large stores located in different areas throughout a state. A researcher for the company believes that employee job satisfaction varies greatly from store to store. Which of the following sampling methods is most appropriate to estimate the proportion of all employees of the company who are satisfied with their job?

The two graphs above show the total amounts of money that Ian and Jeremy each have deposited into their savings accounts for the first seven weeks after opening their accounts. After they made their initial deposits, how much more did Ian deposit each week than Jeremy?

h(x)=

The function h is defined above. What is h (5 ) - h( 3)3?

A researcher surveyed a random sample of students from a large university about how often they see movies. Using the sample data, the researcher estimated that 23% of the students in the population saw a movie at least once per month. The margin of error for this estimation is 4%. Which of the following is the most appropriate conclusion about all students at the university, based on the given estimate and margin of error?

The table above shows two lists of numbers. Which of the following is a true statement comparing list A and list B?

A book was on sale for 40% off its original price. If the sale price of the book was $18.00, what was the original price of the book? (Assume there is no sales tax.)

Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A, B, and C were treated with Pesticides A, B, and C, respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three colonies 0, 2, 4, 6, and 8 weeks after the initial treatment. Which of the following colonies showed a decrease in size every two weeks after the initial treatment with pesticide?

I. Colony A

II. Colony B

III. Colony C

Three colonies of insects were each treated with a different pesticide over an 8-week period to test the effectiveness of the three pesticides. Colonies A, B, and C were treated with Pesticides A, B, and C, respectively. Each pesticide was applied every 2 weeks to one of the three colonies over the 8-week period. The bar graph above shows the insect counts for each of the three colonies 0, 2, 4, 6, and 8 weeks after the initial treatment. Of the following, which is closest to the ratio of the total number of insects in all three colonies in week 8 to the total number of insects at the time of initial treatment?

A right circular cone has a volume of 24π cubic inches. If the height of the cone is 2 inches, what is the radius, in inches, of the base of the cone?

In 2015 the populations of City X and City Y were equal. From 2010 to 2015, the population of City X increased by 20% and the population of City Y decreased by 10%. If the population of City X was 120,000 in 2010, what was the population of City Y in 2010?

The volume of a sphere is given by the formula V = πr³, where r is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?

The table above shows the results of a survey in which tablet users were asked how often they would watch video advertisements in order to access streaming content for free. Based on the table, which of the following is closest to the probability that a tablet user answered "Always," given that the tablet user did not answer "Never"?

y= - (x-3)²+a

In the equation above, a is a constant. The graph of the equation in the xy-plane is a parabola. Which of the following is true about the parabola?

The maximum value of a data set consisting of 25 positive integers is 84. A new data set consisting of 26 positive integers is created by including 96 in the original data set. Which of the following measures must be 12 greater for the new data set than for the original data set?

0.10x +0.20 y= 0.18 (x+y ) Clayton will mix x milliliters of a 10% by mass saline solution with y milliliters of a 20% by mass saline solution in order to create an 18% by mass saline solution. The equation above represents this situation. If Clayton uses 100 milliliters of the 20% by mass saline solution, how many milliliters of the 10% by mass saline solution must he use?

The first year Eleanor organized a fund-raising event, she invited 30 people. For each of the next 5 years, she invited double the number of people she had invited the previous year. If f (n) is the number of people invited to the fund-raiser n years after Eleanor began organizing the event, which of the following statements best describes the function f?

Some values of x and their corresponding values of y are shown in the table above, where a is a constant. If there is a linear relationship between x and y, which of the following equations represents the relationship?

The scatterplot above shows the number of registered voters, x, and the number of people who voted in the last election, y, for seven districts in a town. A line of best fit for the data is also shown. Which of the following could be the equation of the line of best fit?

2.4x- 1.5y=0.3

1.6x+0.5y=- 1.3

The system of equations above is graphed in the xy-plane. What is the x-coordinate of the intersection point (x), y of the system?

Keith modeled the growth over several hundred years of a tree population by estimating the number of the trees' pollen grains per square centimeter that were deposited each year within layers of a lake's sediment. He estimated there were 310 pollen grains per square centimeter the first year the grains were deposited, with a 1% annual increase in the number of grains per square centimeter thereafter. Which of the following functions models P( t), the number of pollen grains per square centimeter t years after the first year the grains were deposited?

(9x - 6)- 4=9x - 6

Based on the equation above, what is the value of 3x - 2?

f(x)=(x+3)(x - k)

The function f is defined above. If k is a positive integer, which of the following could represent the graph of y f = (x ) in the xy-plane?

H = 1 .88L + 32 .01

The formula above can be used to approximate the height H, in inches, of an adult male based on the length L, in inches, of his femur. What is the meaning of 1 .88 in this context?

In quadrilateral ABCD above, AD  BC and CD = AB. What is the measure of angle B?

Lynne has $8 .00 to spend on apples and oranges. Apples cost $0 .65 each, and oranges cost $0 .75 each. If there is no tax on this purchase and she buys 5 apples, what is the maximum number of whole oranges she can buy?

In the triangle above, a = 34. What is the value of b + c?

700, 1200, 1600, 2000, x

If the mean of the five numbers above is 1600, what is the value of x?

The relationship between x and y can be written as y= mx, where m is a constant. If y = 17 when x =a, what is the value of y when x = 2a?

a (x+b ) = 4x + 10

In the equation above, a and b are constants. If the equation has infinitely many solutions for x, what is the value of b?

In the xy-plane, a line that has the equation y= c for some constant c intersects a parabola at exactly one point. If the parabola has the equation y = - x² + 5x, what is the value of c?

What is a peregrine falcon's maximum speed while diving to catch prey, in feet per second? (Round your answer to the nearest whole number. 1 mile = 5280 feet) The peregrine falcon can reach speeds of up to 200 miles per hour while diving to catch prey, making it the fastest animal on the planet when in a dive.

If a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (Round your answer to the nearest second.) The peregrine falcon can reach speeds of up to 200 miles per hour while diving to catch prey, making it the fastest animal on the planet when in a dive.