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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.

# 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)

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# 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.