[Video] Q20: (7532 + 100y^2) + 10(10y^2 − 110) the expression above can be written in the form ay^2 + b, where a and b are constants. what is the value of a + b?

Explanation for Question 20 From the Math (No Calc) Section on the Official Sat Practice Test 7

Question 20 says the expression above can be written in the form, 2 a Y squared plus B, where a and B are constants. 3 What is the value of a plus B? 4 So the first thing I'm going to do is I'm just going to factor 5 out this original expression at the top here. 6 So this can be rewritten as 7,532 plus 7 a hundred Y squared plus 10 tens, 8 10 Y squared, which is a hundred Y squared plus 10 times, 9 negative 110, which is negative 1,100. 10 Next I can add and subtract to like terms to get 200 Y squared 11 plus 600 or 6,432. 12 And this is in the a Y squared plus B form, 13 which tells me that a is equal to 200 and B is equal 14 to 6,432. 15 And this question asks what a plus B is equal to. 16 So to find that I'm going to do 6,432 plus 200 17 to get 6,632, 18 which is the correct answer to this.