PCAT PCAT-SECTION3 - Questions & Answers

The quotient of the two fractions can be found by writing the fractions as:

The average of a set of numbers is calculated by:

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 x 100 = 2.39 x 102.

To divide the two numbers in scientific notation, you have:

To solve the inequality 3x 9 > 1 2x, you need to collect like terms ofxon one side of the inequality and all other values to the other side. You first add 9 to both sides of the inequality:

You then add 2xto both sides of the inequality:

Dividing both sides by 5 yieldsx> 2.

, 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.

The equation is in the form of a quadratic equationax2 +bx+c= 0, where a = 1, b=2, and c=1. To solve this problem, you use the quadratic formula or

The sum of

Canbe found by first computing the value of each term

From the first equation, multiply both sides byyresulting in x= 8y.
Becausex= 64, you can write
64 = 8y
Y=8
Substituting the given information regardingxandyinto its sum yields: x+y= 64 + 8 = 72.