SAT Pastpaper with Solutions

A line in the xy-plane goes through the points and . Which equation defines this line?

The equation represents the number of dollars a gardener spent on daffodil bulbs, x, and tulip bulbs, y, for a particular garden. What does the number 3 represent in this equation?

Which of the following statements is true about the graph of the equation  2y -3 x = −4 in the xy-plane?

Which of the following represents all the possible values of x that satisfy the equation below?

A certain neighborhood had a population of 1340 in 2009. Each year for the next 5 years, the population of the neighborhood increased by approximately of the population the previous year. Which of the following equations represents the population, N, of the neighborhood t years after 2009, where ?

In which of the following does the shaded region represent the solution set in the xy-plane to the system of inequalities below?
y ≥ x + 2
2x + 3y ≤ 6

In the given equation, a is a constant. If x = - 3 is one solution to the equation, what is a possible value of a?

The side of square A is 12 meters. The side of square B is 3 times the side of square A. What is the area of square B, in square meters?

If , what is the value of ?

A car travels at a speed of at least 38 miles per hour but no more than 63 miles per hour for a certain part of a trip. Which inequality represents this situation, where x is the speed of the car, in miles per hour, on this part of the trip?

In the figure shown, lines m and n are parallel. AB = 48, BC = 55, AC = 73 and DF = 219. What is the length of DE?

A rock is thrown from a bridge so that it lands in the river below. The equation represents this situation, where h is the height of the rock above the river, in meters, t seconds after it is thrown. According to the equation, what is the maximum height, in meters, that the rock reaches?

A bottle of cough syrup is 200 milliliters, of which is pure sugar. The bottle is created by adding mixture A to mixture B. Mixture A is pure sugar, and mixture B is pure sugar. Of the pure sugar in the entire cough syrup bottle, how many milliliters are from mixture B?

The histogram summarizes a data set of the weights, in pounds, of 15 salmon. If an additional weight of 68 pounds is added to the original data set to create a new data set of 16 weights of salmon, which of the following measures must be greater for the new data set than for the original data set?

I. The median

II. The mean

A store buys sweaters wholesale for x dollars and sells them for a sticker price that is 1.65 times the wholesale price. If a sweater is on sale for off of the sticker price and the customer pays less than x dollars for the sweater, what is the smallest possible whole number value for p?

Circle A is defined by the equation . Circle B is the result of shifting circle A 2 units to the left and decreasing the radius so that the radius of circle B is half the radius of circle A. Which equation defines circle B?

On a plot of land, 48.0% of the square footage is farmland and the remaining square footage is pasture. There are buildings on exactly 25.5% of the square footage of the farmland, and there are buildings on exactly 16.0% of the square footage of the pasture. If there are buildings on exactly p% of the square footage of the plot of land, what is the value of p?

The function f is defined by , where a and b are constants. In the xy-plane, the graph of contains the points and . What is the maximum value of f(x)?