Math questions

  1. Jack is 5 times old as bill. Ten years from now, Jack will be at least 3 times as old as Bill will be then. At least how old is jack now?
    a. 10 years
    b, 20 years
    c. 25 years
    d. 30 years
    e. 50 years

  2. The distance of the plane 2x-3y+5z+3=0 from the point (2,3,-1)
    a. 1.1236
    b. 2.545
    c. 3.65
    d. 8
    e. 12.45

  3. If Sap is the sum of the first four terms of an arithmetic sequence ans Sgb is the first four terms of a geometric sequence ans Sap/Sgb = 2/3. Considering r =2 for both of them, what is Sap + Sgb
    a.20
    b.30
    c.40
    d.50
    e.60

  1. J = 5B, and J+10 ≥ 3(B+10), or 5B + 10 ≥ 3B + 30. Solve to get B ≥ 10, or J ≥ 50. I would suspect the answer is E.

However this is a poorly worded problem since if E is correct, then every other answer choice is correct.

  1. Given a plane ax + by + cz + d = 0 and a point (x0, y0, z0), the distance from (x0, y0, z0) to the plane is

|ax0 + by0 + c*z0 + d| / sqrt(a^2 + b^2 + c^2).

Plug and chug.

  1. What is r? It might make sense that r is the common ratio of the geometric sequence, but this is an unfounded assumption, and you can’t define a common ratio for an arithmetic sequence, in general.

Where are these problems from? The quality seems fairly poor.

oh okay I understood 1, but I tried your way for 2 and it is none of the choices. I found this book online,s o I am using it
https://books.google.com.sa/books?id=fUUuN9Z9ZOUC&pg=PA2&lpg=PA2&dq=sat+2+math+iic+practice+test&source=bl&ots=R8sDmcmi8I&sig=S1WM74jUGUXDEDKAvkUVGWVDbj4&hl=en&sa=X&ved=0ahUKEwjGxs2goMbMAhWLbBoKHX-eD_Q4ChDoAQgaMAA#v=onepage&q=sat%202%20math%20iic%20practice%20test&f=false
I used barrons, so I need an alternative so I am using this. It has a lot of mistakes. There is a question in which itsaid: there is a rectangle with side 3,4, and 5. A rectangle is 2d, but the dimensions are for 3d. They meant a rectangular prism, but I should deal with it

@MITer94

@gameplayer yeah the answer to 2. is 7/sqrt(38) which is roughly 1.1356.

You should probably use a different book.

I’ll try to look for another one.