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# Tag Archives: Combining Like Terms

# 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.

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

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

- $latex 5a $ (check answer)
- $latex 5a – 2b +2 $ (check answer)
- $latex 5a – 10b $ (check answer)
- $latex 5a – 15b^2 – 6b $ (check answer)
- $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.

# SAT problem of the week, January 26, 2015

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

- $latex 5a $ (check answer)
- $latex 5a – 2b +2 $ (check answer)
- $latex 5a – 10b $ (check answer)
- $latex 5a – 15b^2 – 6b $ (check answer)
- $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.