Tag Archives: Combining Like Terms

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SAT/ACT problem of the week, January 26, 2017 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/ACT problem of the week, January 26, 2017

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 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.

Continue reading

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.