501 Quantitative Comparison Questions 18. a. Any number squared is positive. Therefore, p2 is positive and
( −p)2 is negative. A positive number is always greater than a negative number. Quantity A is greater. 19. b. Both sets of parentheses in quantity B are negative. Two neg-
atives multiplied yield a positive answer. Quantity A has one negative set of parentheses and one positive. A negative multiplied by a positive yields a negative answer. Since quantity B is always positive and quantity A is always negative, quantity A is greater. 20. d. The relationship cannot be determined. If x < 1, for example .5,
then quantity A is larger. If x = 1, then both quantities are equal (both 1). If x > 1, for example 3, then quantity B is larger. 21. b. Use the order of operations to simplify.
5 × (3 + 1) ÷ 2 = 5×4÷2= 20 ÷ 2 = 10 = quantity A 5×3+1÷2= 15 + .5 = 15.5 = quantity B 15
22. c. There are 15 children out of 150 people; 15 0 = 0.10 = 10%. The
percentage of people in the theater that are children is 10%. 23. c. Change .75% to a decimal by moving the decimal point two
places to the left. .75% = 0.0075. 24. b. Use the equation 5x + 3x = 96 and solve for x.
5x + 3x = 96 8x = 96 8x 96 8 = 8
x = 12 5x of the animals are dogs. Since x = 12, 5x = 60. There are 60 dogs, which is less than quantity B.
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