Sat/act math questions help!!!

<p>The graph of y= -5x^2+9 passes through (1,2a) in the standard (x,y) coordinate plane. What is the value of a?</p>

<p>Discount tickets to a basketball tourney sell for $4.00 each. Enrico spent $60.00 on discount tickets, $37.50 less than if he had bought the tickets at the regular price. what was the regular ticket price?</p>

<p>For what value of a would the following system of equations have an infinite number of solutions?
2x-y=8
6x-3y=4(a)</p>

<p>bump. bump! come on you guys, these should be simple for most of yall!</p>

<p>Ok, so I think you would just plug in the coordinates in the equations and solve for a,</p>

<p>Enrich bought 15 tickets, so $60+$37.50= x = 97.5/15= $6.50</p>

<p>The third one I’m not sure, but just solve for one variable at a time</p>

<p>bump for the last one you guys!!!</p>

<p>Multiply the top equation by three so the two match.
6x-3y=24
6x-3y=4a
For the system to have infinite solutions, the two must be equivalent to each other. Since we made the variable equal already, we just have to find a number a such that 24=4a. The answer is 6.</p>

<p>^ I agree, the answer to the third one is a = 6. This is because both equations will then be equivalent, in which the solution set is a line (infinitely many points).</p>

<p>Thanks you guys, your the best!</p>

<p>Hey, are those questions from the McGraw Hill’s prep book? Im using McGraw Hill’s and the questions are the same exact type of questions that are in my book lol</p>