SAT Pastpaper with Solutions

The function is defined by . What is the value of ?

An aquarium uses small and large tanks to temporarily hold a total of 37 fish. Each small tank holds 1 fish, and each large tank holds 2 fish.
Which equation represents this situation, where is the number of small tanks and is the number of large tanks the aquarium uses?

The growth of the number of bacteria in a certain population is modeled by a function that increases exponentially over time. Which of the following could describe how the number of bacteria in the population changes each hour?

To win a game show, a contestant needs to score at least 100 total points from two rounds. Correct responses in the first round are worth 2 points each, and correct responses in the second round are worth 5 points each. Which inequality models this situation, where is the number of correct responses in the first round and is the number of correct responses in the second round?

The function W gives the total time, in minutes, it takes for a gardener to water X plants and mow the grass. According to the function, how many minutes does it take the gardener to mow the grass?

Triangles and are congruent, where corresponds to , and corresponds to . The measure of angle is , the measure of angle is , and the measure of angle is . What is the measure, in degrees, of angle  ?

At how many points do the graphs of the given equations intersect in the -plane?

The table shows three values of and their corresponding values of for the equation , In the table, is a constant. What is the value of ?

The number of bacteria in a liquid medium doubles every day. There are 72,000 bacteria in the liquid medium at the start of an observation.
Which of the following represents the number of bacteria, , in the liquid medium days after the start of the observation?

A rectangle has a width of yards and a length of yards. If the rectangle has an area of 204 square yards, what is the value of ?

The function is defined by , For what value of is equal to 38 ?

The function is defined by the given equation. Which of the following equivalent forms of the equation displays the zeros of the function as constants or coefficients?

For the linear function , the table shows four values of and their corresponding values of . The function can be written as, where and are constants. What is the value of ?

The solution to the given system of equations is . What is the value of ?

The table gives the distribution of flavor and type of topping for customer orders at an ice cream shop.

If a customer order is selected at random, what is the probability of selecting an order with sprinkles, given the flavor of ice cream is vanilla?

In the given equation, is a positive integer. If the given equation has exactly one solution, what CANNOT be the value of ?

A real estate company offers a series of three webinars. 2,000 people attended the first webinar. 65% of the people who attended the first webinar attended the second webinar, and 44% of the people who attended both the first and second webinar attended the third webinar. Of those who attended the first but did not attend the second webinar, 31% attended the third webinar. How many people attended both the first and third webinars but did not attend the second webinar?

In the -plane, circle is the graph of the equation , where is a positive constant. Circle V is obtained by shifting circle M units to the right. Which equation represents circle ?

The dot plot shows the distribution of capacity for a set of capacitors, set A, which a researcher used for a certain experiment. For another experiment, the researcher used a different set of capacitors, set B. Set B has the same number of capacitors as set A but the capacity of each capacitor of set B is 14 microfarads ( F) greater than the capacity of each respective capacitor in set . Which of the following is true about the capacities of the capacitors in set B?