1)
Arithmetic sequence t1, t2.....tn. t1 = 23 and tn=tn-1 - 3 for each n>1
Find n when tn = -4

Please go through how to solve this problem. The answer is 10.

2)
Are X and Y both positive?
a)2x+ 2Y =1
b)x/y > 1

Please go through how to solve this problem. The answer is C.

3)
B


A D C

For triangle ABC find side BC. Angle A is X. Angle D is 2x and angle C is 2x.
1)Line segment AD is 6
2)X = 36

Please go through how to solve this problem. The answer is A. I understand if this isn't clear due to the image. But A (x degrees), B, and C (2x) are the corners of the triangle and there is a line between B and D (2x).

4)
For students in class A, the range in heights is r and the greatest height is g.

For students in class B, the range in height is S and the greatest height is h.

Is the least height in class A greater than the least height of students in class B?

1) r<s
2) g>h

Please go through how to solve this problem. The answer is C.

5)
If the speed of X meters per second is equivalent to the speed of Y kilometers per hour. what is Y in terms of X? (1 kilometer = 1,000 meters)

Please go through how to solve this problem. The answer is 18x/5.

6)
Equilateral triangle ABC is inscribed in a circle. The length of arc ABC is 24. What is the approx. diameter of the circle?

Please go through how to solve this problem. The answer is 11.

I know I have a lot of questions so thank you in advance. I was just shocked at how lost I was during the practice exam in which these appeared.

Please indicate the source of the problems. Also, please post only one problem per post. (Refer to the sticky for all guidelines.)

Thanks.

Rey