*I'll be reviewing a*

**New York State Regents Exam**Question every day from now until the Regents exams begin next month. At least, that is the plan.### August 2014, Questions 27 and 28

**27.** *
Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in
dollars, x, which can be represented by g(x) = 185 + 0.03x. Jim is paid $275 per week plus 2.5%
of his total sales in dollars, x, which can be represented by f(x) = 275 + 0.025x. Determine the
value of x, in dollars, that will make their weekly pay the same.
*

To find the value of *x* where both functions are the same, you can set them each to each other, and solve the equation.
*
*

**g(x) = f(x)**

185 + 0.03x = 275 + 0.025x

185 + 0.005x = 275

0.005x = 90

x = 90/0.005 = 18,000185 + 0.03x = 275 + 0.025x

185 + 0.005x = 275

0.005x = 90

x = 90/0.005 = 18,000

If they both have sales of $18,000, their salaries will be equal.

If you want to check, put 18,000 into each function. Both will give you $725.

**28.** *
Express the product of 2x ^{2} + 7x - 10 and x + 5 in standard form.
*

Use the Distributive Property. Then combine like terms, writing the terms starting with the highest exponent and going in descending order.

*(x)(2x*

2x

2x^{2}+ 7x - 10) + (5)(2x^{2}+ 7x - 10)2x

^{3}+ 7x^{2}- 10x + 10x^{2}+ 35x - 502x

^{3}+ 17x^{2}+ 25x - 50Any questions?

If anyone in Brooklyn is looking for an Algebra or Geometry Regents Prep tutor, send me a note. I have a couple of weekly spots available between now and June.

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