Digital SAT

In the figure, line n intersects lines r and s. Line r is parallel to line s. What is the value of x?

During a portion of a flight, a small airplane's cruising speed varied between 125 miles per hour and 135 miles per hour. Which inequality best represents this situation?

If 5x = 4, what is the value of 40x?

Which expression is equivalent to (x³ + 4x² − 3x) + 5(x² + 8)?

The function f is defined by f(x) = x³ + 14. What is the value of f(2)?

The function g is defined by g(x) = x/8. For what value of x does g(x) = 624?

The scatterplot shows the relationship between two variables, x and y. Which equation is the most appropriate linear model?

The function f(x) = 1/9(x − 4)² + 5 gives a toy car's height above the ground. Which is the best interpretation of the vertex?

7x − 5y = −70. For the given equation, which table gives three values of x and their corresponding values of y?

A chemist combines water and isopropanol to make a mixture with a volume of 45 milliliters. The volume of isopropanol is 10 mL. What is the volume of water?

y = −1/7x and y = 1/11x. The solution to the system is (x, y). What is the value of x?

In January 2018, there were 1,600 customers enrolled in a loyalty program. The total number enrolled each month was 5% greater than the previous month. Which equation gives the total number of customers c enrolled m months after January 2018?

The function f(t) = 10,000(2)^t/850 gives the number of bacteria. How much time, in minutes, does it take for the number of bacteria to double?

y = 5/7x + 9. One of two equations in a system is given. The system has infinitely many solutions. What is the slope of the graph of the second equation?

If x² − 3x − 4 = 0, what is the value of x² − 3x?

Raheem bought 9 shirts that were each the same price. He used a coupon for $54 off the entire purchase. The cost for the entire purchase after using the coupon was $108. What was the original price for 1 shirt?

In right triangle ABC, angles A and B are acute, side AC has a length of 21.2, and tan B = 1/6. What is the length of side BC, rounded to the nearest tenth?

f(x) = (x − 4)² + 11. What is the minimum value of the given function?

Point F lies on a unit circle in the xy-plane and has coordinates (1,0). Point G is the center of the circle (0,0). Point H lies on the circle with coordinates (−1,y). Which of the following could be the positive measure of angle FGH, in radians?

f(x) = 8x + b. For the linear function f, b is a constant and f(0) = 11. What is the value of b?

Data set A: 5, 8, 11, 11, 14, 20.
Data set B: 5, 8, 11, 11, 14, 20, 41.

Which statement best compares the medians?

A proportion is estimated to be 0.2 with a margin of error of 0.08. Which is the most appropriate conclusion?

The shaded region shown represents solutions to an inequality. Which ordered pair is a solution?

For the quadratic function f, the table shows: (-1,4), (0,12), (1,22). Which equation defines f?

The graph gives the estimated population y (in thousands) x years since 2007. Which best describes the increase from x = 0 to x = 1?

T(x) = 62 − 8x. What was the estimated decrease in temperature each hour?

In the triangle shown, what is the value of x?

There is a proportional relationship between p and t. If p = 2,340 when t = 3,120, what is p when t = 2,496?

A cube has a volume of 79,507 cubic units. What is the surface area, in square units, of the cube?

8(cx + 3) / 5 = 4x − 3. If the equation has no solution, what is c?

f(x) is defined as 17 more than 3 times a number x. If y = f(x) is graphed, what is the best interpretation of the y-intercept?

2/c − 7/d = 5. Which equation correctly expresses d in terms of c?

8 times as many people voted in favor as against. 24,500 more people voted in favor than against. How many people voted against?

f(x) = 4x². What is the value of f(11)?

√[5](p²) = t^3/4. If t = p²ⁿ⁻¹, what is the value of n?

The equation 4|x − 3| = k has exactly one solution. Which could be the value of k/4?

−4x² + bx − 25 = 0. The equation has no real solution. What is the largest possible integer value of b?

f(x) = a(3.1^x + 3.1^b). Which equation displays the y-coordinate of the y-intercept as a constant or coefficient?

Equipment rental costs $230 for the first day and $115 for each additional day. Which equation gives the total cost y for x days?

Mass of A is 498% of B, and 0.830% of C. Mass of C is p% of B. What is p?

Triangle PQR and STU have ∠P = ∠S = 30°, QR = 16 and TU = 12. Which additional information is sufficient to prove similarity?

I. PQ = 4/3 ST
II. PR = 4/3 SU