New SAT Math (No Calculator) Practice Test 4

Which of the following expressions is equivalent to $\left(4s \right)^{\frac{1}{3}}$ ?

Newton’s law of gravitation describes the strength of the force F between two objects with masses M and m separated by a distance of r units and is defined as. F = $\frac{GMm}{r^{2}}$ . Which of the following gives the value of Newton’s gravitational constant G, in terms of F, M, m, and r ?

During the month of July, the number of units, y, of a certain product sold per day can be modeled by the function y = -3.65x + 915, where x is the average daily temperature in degrees Fahrenheit. Which of the following statements must be true?

When a virus breaks out, each infected person can infect multiple new people. In a particularly bad flu outbreak at an elementary school, the number of infected people triples each day in the first school week of January. If 5 people were sick with the flu on Monday, which of the following equations best predicts the number of infected people, I(d), d days after Monday?

David is planning a dinner for his birthday. At one restaurant, the cost per person for dinner is $15, with an additional one-time set-up charge of $35. David has a maximum budget of $150. If p represents the number of people (including David) who will attend the dinner, which of the following inequalities represents the number of people who can attend within budget?

Which of the following lines contains all points equidistant from the points (0, 4) and (8, 0) in the xy-plane?

If r = (¹⁄₂a + b)² and s = -4ab + 3b, what is r – 2s in terms of a and b ?

For which of the following values of w does $\sqrt[4]{16w^{3}x^{\frac{9}{w}}} = \left ( 2 \right )\left ( 3^{\frac{3}{4}} \right )\left ( x^{\frac{3}{4}} \right )$ ?

A 40-foot tall arch with a parabolic shape has a line drawn between the bases of the two legs of the arch. If the height above the ground, y, of the arch can be written as the function y(x) = a(x – 20)(x + 20), where x represents the horizontal distance along the line between the bases from a point on the ground directly under the highest point of the arch, then what is the value of negative constant a ?

If the equation for a parabola is y = 5(x – 3)² – 3, which of the following points represents the parabola’s vertex?

What is the result of multiplying 8s² – 6s + 2 by 4s – 1 ?

Oil is being drained from an oil tank at a constant linear rate. Four hours after draining of the tank began, the volume of oil in the tank was 740 gallons, and seven hours after draining of the tank began, the volume was 545 gallons. Which of the following functions best models v(t), the volume of oil in the tank, in gallons, t hours after draining of the tank began?

If A and B both lie on a circle with an area of 16π, and the length of $\widehat{AB}$ is 2π, what is the radian measure of the central angle between A and B ?