Substituting numbers for variables can often be an aid to understanding a problem. If your calculator computes square roots, you could have used it to compute the square root and then rounded off. Since 30 ยด 30 = 900, which is too small, you can now eliminate A, B, and C as too small. In the problem above, start with choice C, 30. You may want to start working from the middle choice, since the answers are usually in increasing or decreasing order. As soon as you find the answer choice that when multiplied by itself approximates 1596, you've got the correct answer. Since you need to know what number times itself equals 1596, you can take any answer choice and multiply it by itself. By working up from the answer choices, however, the problem is easily solvable. Without the answer choices, this could be a difficult problem. SAMPLE QUESTION: What is the approximate value of the square root of 1596? Do not disregard this method because it will at least eliminate some of the choices and could give you the correct answer. In some instances, it will be easier to work from the answers. The fact about Bill's age in comparison to his sister's age was not needed, however, and was not pulled out. Notice that you pulled out the information twenty-five years of age and in 1983. Thus, the solution is simple: 1983 - 25 = 1958, answer C. The key words here are in what year and could he have been born. If Bill was twenty-five years of age in 1983, in what year could he have been born? SAMPLE QUESTION: Bill is ten years older than his sister. When pulling out information, actually write out the numbers and/or letters to the side of the problem, putting them into some helpful form and eliminating some of the wording. "Pulling" information out of the word problem structure can often give you a better look at what you are working with therefore, you gain additional insight into the problem. Make sure that you are answering the right question. You should also notice that most of the other choices would all be possible answers if you made common or simple mistakes. But remember, you are solving for 3 x + 1, not just x. The most common mistake is to solve for x, which is 3, and mistakenly choose A as your answer. Solving for x leaves x = 3, then substituting into 3 x + 1 gives 3(3) + 1, or 10. You should first circle or underline 3 x + 1 because this is what you are solving for. SAMPLE QUESTION: If x + 6 = 9, then 3x + 1 = This will ensure that you are answering the right question. Take advantage of being allowed to mark on the test booklet by always underlining or circling what you are looking for. Suggested Approaches with Samples Circle or Underline
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