2015年SAT測驗,勤於演習,控制數學答題方法,成就才有晉升空間,下面是小編為考生預備的SAT數學選取演習,願望能對眾人有所贊助!
Read the following SAT test question and then click on a button to select your answer.
If x + y = 3 and x - y = 5 , then x 2- y 2 =____
(A) 4
(B) 8
(C) 15
(D) 16
(E) 64
The correct answer is C
Explanation:
Recall that x 2- y 2 can be factored as (x + y) (x -y) . Since x + y = 3 and x - y = 5 , their product, x 2 -y 2 , is (3) (5) , or 15 .
Another method of solution is to solve the two equations x + y = 3 and x - y = 5 simultaneously to get x = 4 and y = -1 . Then x 2- y 2 is 4 2- (-1) 2 = 16 - 1 = 15 .