Explanation for Question 1 From the Math (Calc) Section on the Official Sat Practice Test 6
Question one asks us, which expression is equivalent to two X squared, 2 minus four, minus negative three X squared, 3 plus two X minus seven. So I've written it out a little bigger below 4 here. And the first thing that we're going to want to do is distribute 5 this negative sign to each term within the parentheses right here. 6 Another way to think of this as if we leave two X squared minus 7 four, all the way out in front, and then we can say two X 8 squared or two X squared, minus four, 9 plus some term here with that term being negative one 10 times what's inside the parentheses and the negative three X squared plus two 11 X minus seven. So that's why we need to distribute it to every term. 12 It's kind of like if you're multiplying the whole thing by negative one and 13 then adding it to this first term right here. 14 So I've got two X squared minus four, I've got minus T. 15 So then we've got, excuse me, we are going to have minus negative three 16 X squared, which is going to be plus three X squared. 17 And then we have minus two X that's minus two X, 18 and then we have minus negative seven. So again, 19 that's going to become positive seven and then we can group like terms. 20 So we can group two X squared plus three X squared, 21 minus two X minus four plus seven. 22 So this becomes five X squared, and then we've got minus two X 23 and they have negative four plus seven is going to be positive three. 24 So that leaves us with answer choice a.