PCAT-SECTION3 Online Practice Questions and Answers

Correct Answer: C

The number 239 is expressed in scientific notation by first expressing the value in terms of a real number such that 1 a < 10. In this case, the number becomes 2.39. In order to retain the original number, the number must be multiplied by 100 which, in terms of exponents, is 102. Thus, in scientific notation, 239 =

2.39 × 100 = 2.39 × 102.

Correct Answer: B

, the goal is to isolate the unknown variablexon one side of the equation with all other terms on the

other side. You begin by multiplying both sides of the equation by 4x+ 8:

You then divide both sides by 1/8 which, in essence, means you multiply both sides of theequation

by 8/1 its reciprocal:

You then subtract 8 from both sides with the final step of dividing both sides by 4, giving you the desired

result.

Correct Answer: A

Correct Answer: C

The derivative of a polynomial is the sum of the derivatives of the terms of the polynomial, or:

Correct Answer: B

Correct Answer: A

Correct Answer: C

You are asked to determine the probability of randomly selecting one face card (king, queen, or jack) of a spade suit from two standard decks of cards. Because there are two decks of cards, a single card can be selected from two decks inn= 104 different ways. Since there are 3 face cards of a spade suit in one deck of cards, such a card can be drawn from the two decks ins= 6 different ways. Thus, the probability that the selected card is a face card of a spade suit is:p=s/n= 6/104

Correct Answer: D

The range or the difference between the largest and smallest values in this data set is 12.2mL2.4mL=9.8mL.

Correct Answer: A

In order to solve the equationx3 64x= 0 forx, you can apply factor analysis and solve for x in each term:

Correct Answer: A

If the first point (5 , 2) = (x1,y1) and the second point ( 8 , 3 ) = (x2,y2), then substituting these coordinate values into the definition for the slope yields

Correct Answer: B

The slope can be identified by adapting the equation to the formal equation of a line or y=mx+bor

Correct Answer: A

When the equation is Adapted to the equation of a line, it can readily be seen that the slopeis.However, because the equation has physical significance, it is important that the units associated with the slope are clearly indicated. Because the slope is the ratio.

Correct Answer: C

Correct Answer: A

Correct Answer: B