SAT Pastpaper with Solutions

(x²- 3)-(- 3x²+5)

Which of the following expressions is equivalent to the one above?

A certain package requires 3 centimeters of tape to be closed securely. What is the maximum number of packages of this type that can be secured with 6 meters of tape? (1 meter = 100 cm)

A market researcher selected 200 people at random from a group of people who indicated that they liked a certain book. The 200 people were shown a movie based on the book and then asked whether they liked or disliked the movie. Of those surveyed, 95% said they disliked the movie. Which of the following inferences can appropriately be drawn from this survey result?

Which of the following ordered pairs (x, y) satisfies the inequality 5x - 3y <4?

I. (1, 1)

II . ( 2, 5)

III . ( 3, 2)

In the equation (ax + 3 )² = 36, a is a constant. If x = - 3 is one solution to the equation, what is a possible value of a?

According to the scatterplot, which of the following statements is true about the relationship between a planetoid's average distance from the Sun and its density?

An astronomer has discovered a new planetoid about 1.2 AU from the Sun. According to the line of best fit, which of the following best approximates the density of the planetoid, in grams per cubic centimeter?

9ax + 9b - 6 = 21

Based on the equation above, what is the value of ax + b?

Lani spent 15% of her 8 - hour workday in meetings. How many minutes of her workday did she spend in meetings?

A software company is selling a new game in a standard edition and a collector's edition. The box for the standard edition has a volume of 20 cubic
inches, and the box for the collector's edition has a volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume of the order to be shipped is 1,870 cubic inches. Which of the following systems of equations can be used to determine the number of standard edition games, s, and collector's edition games, c, that were ordered?

A customer paid $53.00 for a jacket after a 6 percent sales tax was added. What was the price of the jacket before the sales tax was added?

Theresa ran on a treadmill for thirty minutes, and her time and speed are shown on the graph above. According to the graph, which of the following statements is NOT true concerning Theresa's run?

In the figure above, what is the value of x?

If 50 one-cent coins were stacked on top of each other in a column, the column would be approximately 3 inches tall. At this rate, which of the following is closest to the number of one-cent coins it would take to make an 8-inch-tall column?

If a - b = 12 and b/2= 10, what is the value of a + b?

y = 19 .99 + 1 .50x

The equation above models the total cost y, in dollars, that a company charges a customer to rent a truck for one day and drive the truck x miles. The total cost consists of a flat fee plus a charge per mile driven. When the equation is graphed in the xy-plane, what does the y-intercept of the graph represent in terms of the model?

The scatterplot above shows data for ten charities along with the line of best fit. For the charity with the greatest percent of total expenses spent on programs, which of the following is closest to the difference of the actual percent and the percent predicted by the line of best fit?

Mosteller's formula: A =  Current's formula: A =  The formulas above are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimeters. Based on Current's formula, what is w in terms of A?

Mosteller's formula: A =  Current's formula: A =  The formulas above are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimeters. If Mosteller's and Current's formulas give the same estimate for A, which of the following expressions is equivalent to ?

The scatterplot above shows the numbers of grams of both total protein and total fat for eight sandwiches on a restaurant menu. The line of best fit for the data is also shown. According to the line of best fit, which of the following is closest to the predicted increase in total fat, in grams, for every increase of 1 gram in total protein?

A survey was given to residents of all 50 states asking if they had earned a bachelor's degree or higher. The results from 7 of the states are given in the table above. The median percent of residents who earned a bachelor's degree or higher for all 50 states was 26 .95%. What is the difference between the median percent of residents who earned a bachelor's degree or higher for these 7 states and the median for all 50 states?

A cylindrical can containing pieces of fruit is filled to the top with syrup before being sealed. The base of the can has an area of 75 cm², and the height of the can is 10 cm. If 110 cm³ of syrup is needed to fill the can to the top, which of the following is closest to the total volume of the pieces of fruit in the can?

h( t) = - 16t² + 110t + 72

The function above models the height h, in feet, of an object above ground t seconds after being launched straight up in the air. What does the number 72 represent in the function?

If x food calories is equivalent to k kilojoules, of the following, which best represents the relationship between x and k?

If the 180 food calories in a granola bar come entirely from p grams of protein, f grams of fat, and c grams of carbohydrate, which of the following expresses f in terms of p and c?

The world's population has grown at an average rate of 1.9 percent per year since 1945. There were approximately 4 billion people in the world in 1975. Which of the following functions represents the world's population P, in billions of people, t years since 1975? (1 billion = 1,000,000,000)

In the xy‑plane above, a point (not shown) with coordinates ( s, t) lies on the graph of the linear function f. If s and t are positive integers, what is the ratio of t to s?

A circle in the xy - plane has equation + = 25 . Which of the following points does NOT lie in the interior of the circle?

The manager of an online news service received the report above on the number of subscriptions sold by the service. The manager estimated that the percent increase from 2012 to 2013 would be double the percent increase from 2013 to 2014. How many subscriptions did the manager expect would be sold in 2014?

No contestant received the same score on two different days. If a contestant is selected at random, what is the probability that the selected contestant received a score of 5 on Day 2 or Day 3, given that the contestant received a score of 5 on one of the three days?

What was the mean score of the contestants on Day 1?

In the figure below , B tan =3/4. If BC = 15 and DA= 4 , what is the length of DE ?

y=x² - 4x +4

y=4 - x

If the ordered pair ( x, y) satisfies the system of equations above , what is one possible value of x?

Point C is the center of the circle below. What fraction of the area of the circle is the area of the shaded region?

• The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 40 questions and obtained a score of 50, how many questions did the player answer correctly?

• Line t is shown in the xy-plane below.
  
  What is the slope of line t?

• In 1854, during the California gold rush, each ounce of gold was worth $20, and the largest known mass of gold found in California was worth $62,400 in that year. What was the weight, in pounds, of this mass of gold? (16 ounces = 1 pound .

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