SAT Math Problems Thread

Whew! Thanks a lot Dr. Steve, you are a life saver :D…I was starting to get worried.
I tried Y1 2 without the brackets and got the wrong answer. So brackets do matter. …
Just to clear up, (3) Does’t an “ordered pair” mean that order matters?

Can I use the CASIO fx-82ES Plus on my SAT exam?
It’s just a scientific calculator.

Yes, it can be.
Where are you taking your SAT?

Yes, in an ordered pair order matters. This means that (2,3) and (3,2) are different ordered pairs. An unordered pair is just a set consisting of 2 elements: {2,3} and {3,2} are the same unordered pair.

The ordered pair (x,y) where x=2 and y=3 is (2,3). The ordered pair (3,2) is a different ordered pair that does not satisfy the condition I just expressed.

Ok, Thank you Dr. Steve. 2 hours left for the exam ! 0_0

@WhiteFlameAB Sorry I didn’t really explain this, but the answer is no. One way to see it is, a and b are positive, but if you solve a-b = 7 and a+b = 1, you get b = -3 (and a = 4).

No worries MITer94, thanks for all the help!

Hit me up on a math question, I want to make myself feel better after taking that math level 2 test…

Check this out : https://gyazo.com/0e1789700ca5acce86d22aad0aabefc7

Most of these were above Algebra I right? I made a 99 on my exam and seeing these questions make me queasy.

@WhiteFlameAB Is it 13?

@Synonyms: That’s what I got as well so I’m pretty sure it is.

Can someone help me out with this hard math question?

In the figure above, a circle is inside of and outside of a square. if a point is chosen at random from the square abcd, what is the probability that the point is chosen from the shaded region?

Its from Dr Chung’s Tip 9 #3. Ive been stuck trying to understand it for the past 45 minutes.

a) 1/4
b) (pi-50)/(100)
c) (2pi-50)/(100)
d) (PI-2)/(8)
e) (pi-2)/(4)

^ The same problem is #21 on this worksheet
http://www.korpisworld.com/Mathematics/SIT%20for%20SAT/WS%2003%20Skills%206-10.pdf

@AmericanPride assume the side length of ABCD is 1. You want to find the area of the shaded region.

Start by finding the area of the circle and of the smaller square. The area of the shaded region is simply the positive difference.

Hint: to find the side length of the smaller square, consider its diagonal and the relationship with the diameter of the circle.

I’ll solve a little bit of it and let you solve the rest. First, denote one side of the larger square as ‘s’. Thus, it’s area is s^2. The radius of the circle is (s/2) so its area is (pi*(s^2/4)). Finally, the area of the smallest square is found by using the fact that its diagonal is equal to the diameter of the circle. So create a 45-45-90 triangle by drawing half a diagonal to the center of the small square (2 lines from adjacent vertices) and so the side of the square is opposite the 90 angle which means you multiply (s/2) *(root of 2). Then square that answer and you get the area of the smaller square (s^2/2). I’ll leave it up to you to figure out how to manipulate these areas and find a way to represent the probability which will give you the answer.

If you are still having trouble with this question, let me know and I’ll give you the full answer. But I want you to try to solve it because on the test you and only you will solve the questions :).

Thank you both for answering my question!

I have another question for y’all!

  1. In 5 years the ratio of Julie’s age to song’s age will be 3:5. in 10 years the ration of julie’s age to song’s age will be 2:3. what is the sum of the current ages?

In 5 years they will be 15:25 which is 3:5. Then you add those 5 years. 20:30 which is 2:3 so the current age is 10:20 1:2. 10+20=30. @AmericanPride.

If a^3 = b^2 , which of the following statements could be true?

I: a < 0 and b > 0
II: a > 0 and b < 0
III: a > 0 and b > 0

I’ve answered III only but the answer says both II and III
How do I prove the second one?

@finest319 a = 4 and b = -8