New SAT Math (No Calculator) Practice Test 3

If 2√x = x – 3, which of the following is the solution set for x ?

What is the value of (2 + 8i)(1 – 4i) – (3 – 2i)(6 + 4i) ?
(Note: i = √-1 )

Cuthbert is conducting a chemistry experiment that calls for a number of chemicals to be mixed in various quantities. The one amount of which he is unsure is grams of potassium, p . If Cuthbert is certain that (3p² + 14p + 24) – 2(p² + 7p + 20) = 0, what is one possible value of 3p + 6, the exact number of grams of potassium that Cuthbert would like to use for this experiment?

Samantha offers two different packages of yoga classes at her yoga studio. She offers two hot yoga sessions and three zero gravity yoga sessions at a total cost of $400. She also offers four hot yoga sessions and two zero gravity sessions at a price of $440. Samantha wants to offer a larger package for long-time clients in which the cost must exceed $800. If Samantha does not wish to include more than 13 sessions for the long-time client package, will she be able to create this package for her clients?

If x² + 2xy + y² = 64 and y – x = 12, which of the following could be the value of x ?

2c + 3d = 17
6c + 5d = 39
In the system of linear equations above, what is the value of 4c – 4d ?

Steven needs to buy t theme park tickets for himself and his family. Each ticket costs $80, and the number of tickets he needs to buy can be modeled by the expression t² – 4t – 90 = 6 when t > 0. What is the total cost of the theme park tickets that Steven purchased?

Given the equation y = 3x² + 4, what is the function of the coefficient of 3 ?

If 3a + 2b = 24 and 4a + 5b = 53, what is the value of a + b ?

Ryan and Allison build a ramp to help their elderly cat, Simms, walk up to their bed. They need the ramp to make a 35° angle with their bedroom floor. How long must the ramp be to reach the top of their bed that is exactly three feet off the ground?

Ohm’s Law, which can be written as IR = V, relates the current I in amperes that flows through a conductive material with resistance R ohms to the voltage V between the two ends. The power P in watts can be related to I and R by the equation I = $\sqrt{\frac{P}{R}}$ . Which of the following gives P in terms of V and R ?

Clark’s Rule is a formula used to determine the correct dosage of adult over-the-counter medicine a child can receive. The child’s weight, in pounds, is divided by 150, and the result is multiplied by the adult dose of the medicine. A mother needs to give her daughter acetaminophen, which has an adult dose of 1,000 milligrams. She does not know her daughter’s exact weight, but she knows the weight is between 75 and 90 pounds. Which of the following gives the range of correct dosage, d, in milligrams of acetaminophen the daughter could receive?

The price of an item that cost $43 in 2010 always increases by $3 per year. The current price in dollars, P, of the item can be represented by the equation P = 3t + 10, where t is the number of years since the item was first manufactured. Which of the following best explains the meaning of the number 10 in the equation?

Régine is measuring how many solutions from Batch x and Batch y are acidic. She measured a total of 100 solutions from both batches. 40% of the solutions from Batch x and 70% of the solutions from Batch y were acidic, for a total of 48 acidic solutions. Solving which of the following systems of equations yields the number of solutions in Batch x and Batch y ?

Which of the following is equivalent to the expression $\frac{x^{3} + x^{2}}{x^{4} + x^{3}}$ ?

If f is a function and f(4) = 5, which of the following CANNOT be the definition of f ?

A website hopes to sign up 100,000 subscribers. So far, the website has signed up an average of 500 subscribers per day for d days. Which of the following represents the number of additional subscribers, W, the website must sign up to reach its goal?

Marco is ordering salt, which is only sold in 30-pound bags. He currently has 75 pounds of salt, and he needs to have a minimum of 200 pounds. Which of the following inequalities shows all possible values for the number of bags, b, that Marco needs to order to meet his minimum requirement?