All posts by Juan Rodriguez

SAT problem of the week, January 26, 2015 solution

Hint for process of elimination: Taking test values such as $latex a=3 $ and $latex b=5 $ and carefully using order of operations will help you eliminate most or all answers. If your own choice of values of $latex a $ and $latex b $ do not eliminate all choices, making a second choice (or in very extreme cases even a third choice) will finish off all remaining incorrect answers.

Another hint is, variables are never being multiplied with other variables, this eliminates choices D and E. Also, there is nothing in the original expression which can combine with and eliminate the number 2 from the expression. This eliminates choices A and C, leaving you with the correct answer, B.

Read on for a full solution.

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SAT problem of the week, January 26, 2015

Which of the following is equal to $latex 5a + 3b -(5b -2) $?

  1. $latex 5a $ (check answer)
  2. $latex 5a – 2b +2 $ (check answer)
  3. $latex 5a – 10b $ (check answer)
  4. $latex 5a – 15b^2 – 6b $ (check answer)
  5. $latex 8ab – 5b + 2 $ (check answer)

Have a solution? Hint? Question? Drop it below. We’d love to hear from you. A full solution will be posted on February 1st. If you would like to learn how to enter fancy math formulas into this blog, visit the WordPress LaTeX tutorial page.

SAT problem of the week, January 19, 2015 solution

Hint for process of elimination: Use the keyword “despite” as a hint that the word in the blank must produce a statement that says that Isiah did the opposite of what might be expected after repeated failure. This should at least eliminate choices A, B, and D, giving you a 50% chance of getting this problem correct. Any time you can eliminate at least one answer, it is most advantageous to guess.

Read on for a full solution.

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SAT problem of the week, January 19, 2015

Despite the fact that all his attempts to capture the massive Goliath Tigerfish had failed, Isiah ——— in his attempts to capture the fish during his outing.

  1. failed (check answer)
  2. languished (check answer)
  3. cemented (check answer)
  4. was defeated (check answer)
  5. persevered (check answer)

Have a solution? Hint? Question? Drop it below. We’d love to hear from you. A full solution will be posted on January 25th.

SAT problem of the week, January 12, 2015 solution

Hint for process of elimination: This is considered a difficult problem to solve on the SAT directly, since the test makers don’t necessarily expect you to know logarithms. However, they do expect you to know the equation for percent growth, so you should have an equation to plug into. The equation is described below in the full solution.

Notice that the investment grows from $10,000 to $100,000, which is a tenfold increase in value of the investment. In this case, you might get a hint that the growth rate of the investment is pretty big. If the investment grows at a rate of 20% per year, then it takes less than 5 years for the value of the investment to double. That means it takes less than 15 years for the investment to double three times, which is a factor of $latex 2^3 = 8$. To grow by a factor of 10, it really should not take more than 15 years, at the roughest estimate. This leaves choices A (5 years), B (10 years), and C (12.6 years). Clearly 5 years is too short. After all, an investment that grows at 20% per year cannot grow 1000% in five years. This leaves choice B and C, giving you a 50% chance of getting the answer right. Even if you can’t decide on which answer is correct at this point, you should still give an answer.

Read on for a full solution.

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SAT problem of the week, January 12, 2015

A $10 thousand investment in a stock is expected to achieve a rate of return of 20% per year. At this rate, approximately how much time is expected to pass for the investment expected to be valued at $100 thousand?

  1. 5.0 years (check answer)
  2. 10.0 years (check answer)
  3. 12.6 years (check answer)
  4. 16.3 years (check answer)
  5. 50.0 years (check answer)

Have a solution? Hint? Question? Drop it below. We’d love to hear from you. A full solution will be posted on January 18th. If you would like to learn how to enter fancy math formulas into this blog, visit the WordPress LaTeX tutorial page.