Hi Mile,
In your PWN Math Book Fourth Edition on page 87 question 5, I do not understand why 6.5 changed to negative 6.5 when you took the absolute value of both sides. Wouldn’t it stay 6.5?
Thank you

Woops! Forgot part of first equation in question just submitted. Here is the full question:

(x + 2)^2 + (y – 3)^2 = 40
y = -2x + 4

Which could be the x-coordinate of a solution to the system of equations above?

A) √7

B) √35 / 2

C) (6 + 2√34) /5

D) (4 + 2√191) /5

Could you please explain number 7 on page 29?

Hi Mike. I had a question about question 10 on page 218 from your PWN 4th edition Math guide book. If percent means divide by 100, why is it 8 x10^-4 instead of 8 x 10^-8? I thought I had to divide 8 x 10^-6 by a 100. Could you clear this up for me?

On SAT Practice Test 8, I got marked incorrect on Question 7 of the Math No-Calculator section. This is because I said -1 is a valid solution when it isn’t supposed to be. However, if you plug in -1 into the original equation, and say that the square root of 4 is -2, the solution remains true.

So my question is, on the SAT, are you only ever supposed to use the principle square root of numbers? Saying that the square root of 4 = -2 is what rendered my answer incorrect.

This is a question from April 2018 QAS, Calculator Section, Problem 29.

I can’t figure out why choice D is the correct answer. I was stuck bw choice A and B, and picked A. Why is A wrong and D correct?

Thank you!

Hi Mike. I had a question about problem 3 on page 284 of your PWN 4th edition book. I don’t understand how you can put values of a, b, c, or d on to the sides. How do you determine which side is which letter?

On pg. 96 question 11 I’m confused with how you came up with your answer even with the explanation. What am I supposed to do there?

On pg. 96 question 10 I’m confused with how you came up with the answer 6, I got the answer -15. How did you come up with 6 I don’t understand?

On pg. 96 question 9 I’m confused with how you came up with the answer 2, I got the answer 4. How did you come up with 2 I don’t understand?

I had a question about practice question #3 of the Angles, Triangles, and Polygons chapter. I understand the logic behind why A)15 is the answer (Triangle Inequality Theorem), but I think that C)22 could also be a possible answer because the problem never specifies whether RS is one of the two congruent sides or the non-congruent side. If RS were the non-congruent side, and 22 was the perimeter, the remaining sides would each be 6.5, which are not integers. Is my reasoning correct?

I had a question about Example 7 on Page 270 in the PWN Math Guide book fourth edition. I don’t understand how sin (15) is equal to cos (5pi/12). Could you explain this ?