# January 2019 Algebra I Regents, THE WHOLE TEST SOLUTIONS, Premiering now!

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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)

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/ACT problem of the week, August 25, 2016 Solution

Hint for process of elimination: Since \$latex y &s=1\$ and \$latex xy &s=1\$ are both positive, \$latex x &s=1\$ is also positive. Therefore \$latex y-x<y=15 &s=1\$. This eliminates choice E, leaving you with four choices. Some awareness about how big or small the answer should be, for example noting that \$latex x=8 &s=1\$, may help you eliminate choice D for being too big, and choice A for being too small.

Read on for a full solution

# SAT/ACT problem of the week, August 25, 2016

If \$latex xy = 120 &s=1\$ and \$latex y = 15 &s=1\$, then \$latex y-x= &s=1\$

Solutions, hints, and questions are welcomed. A full solution will be posted on the August 31st. If you would like to learn how to enter math formulas into this blog, visit the WordPress LaTeX tutorial page.

# SAT/ACT problem of the week, August 18, 2016 Solution

Hint for process of elimination: If we read carefully, we notice that the price of a single pair of shoes at the shoe store is \$latex a &s=1\$. The problem asks for the difference involving the cost of eight pairs of shoes at the shoe store. Therefore, the answer must have a term of \$latex 8a &s=1\$. This eliminates choices A, C, and E.

You can now try to reason through choices B and D. Since you eliminated three choices, you are statistically likely to improve your score by not leaving the answer blank, so you have to choose either B or D.

Read on for a full solution.

# SAT problem of the week, August 18, 2014

A pair of shoes costs customers \$latex a &s=1\$ dollars at the shoe store. The shoe store pays \$latex b &s=1\$ dollars for a box of eight pairs of shoes wholesale. If the cost of eight pairs of shoes purchased wholesale is \$latex c &s=1\$ dollars less than the cost of eight pairs of shoes at the shoe store, which of the following equations must be true?

1. \$latex a-8b+c=0 &s=1\$ (check answer)
2. \$latex 8a-b+c=0 &s=1\$ (check answer)
3. \$latex a-b-c=0 &s=1\$ (check answer)
4. \$latex 8a-b-c=0 &s=1\$ (check answer)
5. \$latex a+8b-c=0 &s=1\$ (check answer)

Solutions, hints, and questions are welcomed. A full solution will be posted on August 24th. If you would like to learn how to enter 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) \$?

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, August 25, 2014 Solution

Hint for process of elimination: Since \$latex y &s=1\$ and \$latex xy &s=1\$ are both positive, \$latex x &s=1\$ is also positive. Therefore \$latex y-x<y=15 &s=1\$. This eliminates choice E, leaving you with four choices. Some awareness about how big or small the answer should be, for example noting that \$latex x=8 &s=1\$, may help you eliminate choice D for being too big, and choice A for being too small.

Read on for a full solution