# Download CliffsTestPrep ACT (Cliffs Test Prep ACT) by Jerry, Ph.D. Bobrow, William A. Covino, David A. Kay, Harold PDF

By Jerry, Ph.D. Bobrow, William A. Covino, David A. Kay, Harold D. Nathan

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7 E. −21 You should work this problem straight through as follows. -8 + 6 + -7 = -2 + -7 =2+7 =9 Notice that a quick look at the answer choices enables you to eliminate choices D. , since they are negative. If you add two absolute values, the answer can’t be negative. Work Backward from the Answers. If you don’t immediately recognize a method or formula, or if using the method or formula would take a great deal of time, try working backward — from the answers. Since the answers are usually given in ascending or descending order, always start by plugging in the middle answer choice first if values are given.

420 E. 4,500 Simplifying this problem means first adding the like terms (xy2 + 4xy2) and (3x2y + 2x2y). After simplifying this problem to 5xy2 = 5x2y, plug in the value −3 for x and 4 for y, which gives you 5(−3)(4)2 + 5(−3)2 (4) = 5(−3)(16) + 5(9)4 = −15(16) + 45(4) = −240 + 180 = −60 The correct answer is −60, choice B. 28 Introduction to the Mathematics Test “Pulling” out Information. “Pulling” information out of the word problem structure can often give you a better look at what you’re working with, so you gain additional insight into the problem.

Taking this method a little farther, suppose that Barney could also mow the lawn in 4 hours. Then together it would take Barney and Fred 2 hours. But since Barney is a little slower than this, the total time should be a little more than 2 hours. , 22⁄ 9 hours. 27 Part I: Analysis of Exam Areas Using the equation for this problem would give the following calculations. 1 ⁄ 5 + 1⁄ 4 = 1⁄ x In 1 hour Barney could do 1⁄ 5 of the job, and in 1 hour Fred could do 1⁄ 4 of the job; unknown x is that part of the job they could do together in one hour.