SAT Pastpaper with Solutions

Which table gives three values of x and their corresponding values of q(x) for function q?
q(x) = 15(3^x)

A plant nursery classifies a perennial flower species as tall if its typical height when fully grown is more than 100 centimeters. Each of the following inequalities represents the possible heights h, in centimeters, for a specific perennial flower species when fully grown.

Which inequality represents the possible heights h, in centimeters, for a tall perennial flower species?

A linear function f gives a company's profit, in dollars, for selling x items. The company's profit is $ 170 when it sells 4 items, and its profit is $ 590 when it sells 10 items. Which equation defines f?

Each year, the value of an investment increases by 0.69% of its value the previous year. Which of the following functions best models how the value of the investment changes over time?

Line p in the xy-plane is defined by and passes through the points (a,0) and (0,b), where a and b are constants. What is the value of a?

The manager of a gym selected a sample of 142 members at random to estimate the percentage of the gym's members that would continue to pay for a membership if the price increased. From the survey, the manager estimates that 89% of the gym's members would continue to pay for a membership if the price increased, with an associated margin of error of 15%. If the survey is repeated with a random sample of 284 members and the results are calculated in the same way, which of the following will be the most likely effect of using the larger random sample compared to the smaller random sample?

The function f is defined by f(x) = -9x + 9. What is the y-coordinate of the y-intercept of the graph of y = f(x) in the xy-plane?

The histogram summarizes a data set of the weights, in pounds, of 14 salmon. If an additional weight of 68 pounds is added to the original data set to create a new data set of 15 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

The table shows three values of x and their corresponding values of y, where a and b are constants. There is a linear relationship between x and y. In the xy-plane, the y-intercept of the line representing this relationship is (0,-16). What is the value of a+b?

In the given equation, k is a constant. How many distinct real olutions does this equation have?
(x+k)² + 37 = 37

For a certain circuit, its power P, in watts; current C, in amperes; voltage V, in volts; and resistance R, in ohms, are related as , where P, C, V, and R are positive. When R = 18, which equation correctly expresses P in terms of C and V?

For which of the following tables are all the values of x and their corresponding values of y solutions to the given system of inequalities?
y < -5x - 21; y > -3x - 8

A circle is inscribed in a square such that the circumference of the circle touches the midpoint of each side of the square. The length of the diagonal of the square is 228 units. What is the area, in square units, of the circle?

The expression kx represents the result of decreasing a positive force, x, acting on an object by 0.34%. What is the value of k?

A polygon has exactly 87 sides. If the measure of each of the 87 interior angles of this polygon is (180p)°, what is the value of p?

The number of bacteria in a liquid medium doubles every hour. There are 66,000 bacteria in the liquid medium at the start of an observation.

Which of the following represents the number of bacteria, y, in the liquid medium t hours after the start of the observation?

The function gives each term of a sequence as a function of the term's position, n, in the sequence, where n is a whole number. The value of the term in position 14 is p% more than the value of the term in position 10. What is the value of p.

A right square pyramid has a total surface area of 28,160 square inches, and the combined surface area of the four lateral faces of this pyramid is 16,060 square inches. What is the height, in inches, of this pyramid?

The expression 6x⁴ + 17x² + 7 can be rewritten as (3x²+a)(2x²+b), where a and b are positive integers, or as (3x²+c)(2x²+d), where c and d are positive nonintegers. What is the value of a+c?