New SAT Math (No Calculator) Practice Test 5

If $x = k^{-\frac{1}{3}}$ where x > 0 and k > 0, which of the following equations gives k in terms of x?

If g(x) = 3x – 5 and $h\left (x \right ) = \frac{7x + 10}{4}$ , at what point does the graph of g(x) intersect the graph of h(x)?

Which of the following are the roots of the equation 2x² + 4x – 3 = 0?

If p = 4x³ + x – 2, q = x² – 1, and r = 3x – 5, then what is 2p – (q + r)?

The value of 7x² + 3 is how much more than the value of 7x² – 9?

Which of the following expressions is equivalent to $\sqrt{16x^{9}y^{6}}$ ?

A hospital hosts an annual charity drive in which volunteers sell first aid kits to raise money for the pediatric ward. The hospital ordered too many kits last year, so it already has some to start this year’s drive with. The project manager estimates, based on last year’s sales, that the hospital needs to order an additional 50 boxes of kits. The function k(b) = 12b + 32, where b is the number of boxes ordered, represents the number of kits the hospital will have after the order arrives. When the project manager places the order, she is told that the company has changed the number of kits per box to 8. How many more boxes will she need to order to end up with the same number of kits that she had originally planned for?

In a certain board game, where playing involves a specific number of cards and a specific number of players, three cards are removed from the deck and kept in an envelope, while the rest of the cards are distributed equally among the players. The scenario can be represented by the equation given above. What does the variable c represent in this scenario?

If g is a function defined over the set of all real numbers and g(x – 1) = 3x² + 5x – 7, then which of the following defines g(x)?

If 0 < 1 – ^a⁄₃ ≤ ¹⁄₂, which of the following is not a possible value of a?