Hello, I know you’ve already solved practise test 2, section 4 question 29 (by either using your graphic calculator or by looking at the equation of a parabola) but how would you use backsolving? Lets say I try in option C and im getting y as 3 (which means my equations do NOT have 2 real solutions), how do I know whether to try out option B or D next?
Thank you so much!
Hi Mike! For practise test 2, section 3 Q6, how exactly could I use backsolving to solve this? Lets say I start with C and I plug in 8. My gradient of line l is 2/5. If I plug in p as 8, I’m getting gradient of line k as 4/8. Do I now compare the fractions? How do I know if I should try plugging in a bigger or smaller number to get closer towards 2/5 (initial gradient)?
Thanks!
Hi. Can you explain test 6, section 4, number 14. Thanks.
Will you please answer question # 27, Test 3, section 4. Is it possible to use real numbers in your example? Thanks!
Test 4 Section 3 #13
One third of the attendees at a concert left the show before the encore. Twenty more people left during the encore. After the encore, half as many people as had left before the encore left. If 76 people remained in the theater after the concert was over to try to get autographs from the band, how many people, in total, attended the concert? Please write it out step by step. Thank You.
Can you elaborate more on question 18 (Backsolve)? I am having trouble understanding how you got 1683000 and 1717000.
The new SAT places a heavy emphasis on the “Heart of Algebra,” which is a bizarre and tortured euphemism for, mostly, working with linear equations. One of the kinds of questions you know you’re going to see, probably more than once, on your SAT is solving systems of linear equations. For example: Which ordered pair satisfies (more…)
I made a video today that I hope will help you understand something I get asked about an awful lot. The SAT loves asking a particular kind of Venn diagram question—not so common that it appears on every test, but common enough that high scorers need to know it. The test writers keep coming back (more…)
It’s important to be ever-cognizant of the fact that on a multiple choice test, one of the 5 answers has to be right. Because of this, it’s sometimes possible to answer a question correctly by starting at the end, and ending at the start. Most in the prep world call this “backsolving,” and it’s even more (more…)
For all positive integers p and q, let the function p♮q be defined as p♮q = 2p-q. If g♮12 = g, then g = (A) 2 (B) 4 (C) 8 (D) 16 (E) 76 Answer below. The cardinal rule of function questions is this: FOLLOW THE DIRECTIONS EXACTLY. If p♮q = 2p-q, then g♮12 = 2g-12. We know (more…)
