1、GRE( QUANTITATIVE)练习试卷 15及答案与解析 1 If x=-8, what is the value of |x-6|? 2 Solve |4x-6|=10 for x. 3 |-15|6|=_ 4 Solve |6x+8|=|3x-7| for x. 5 GRE( QUANTITATIVE)练习试卷 15答案与解析 1 【正确答案】 First, substitute -8 for x and do the subtraction within the absolute value lines (-8-6=-14.) Absolute value is the numer
2、ical value of a real number without regard to its sign. Therefore, the absolute value of -14 is 14. 2 【正确答案】 To solve this problem, set up two equations because x has two values: 4x-6=10, and 4x-6=-10. Solve both for x. 4x=16, and 4x=-4 x=4, and x=-1 3 【正确答案】 In order to perform the multiplication i
3、n this problem, first find the absolute value of both numbers. The absolute values of -15 and 6 are 15 and 6, respectively. The answer is 156=90. 4 【正确答案】 To find the possible answers for x in this problem, set up two equations: 6x+8=3x-7, and6x+8=-(3x-7). First, distribute the minus sign in the second equation, giving you 6x+8=-3x+7. Then solve both for x: 3x=-15, and 9x=-1 5 【正确答案】 First find the absolute value of the denominator. The absolute value of -8 is 8. Now perform the division: -328=-4.