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SAT2数学考试题目:Absolute Value

2019-09-23 16:33:00来源:网络

  为了帮助大家高效备考SAT,新东方在线SAT频道为大家带来SAT2数学考试题目:Absolute Value,希望对大家SAT备考有所帮助。更多精彩尽请关注新东方在线SAT频道!

  To solve an equation in which the variable is within absolute value brackets, you must divide the equation into two equations.

  The most basic example of this is an equation of the form |x| = c. In this case, either x = c or x = –c.

  A slightly more complicated example is this:

  In this problem, you must solve two equations: First, solve for x in the equation x + 3 = 5. In this case, x = 2. Then, solve for x in the equation x + 3 = –5. In this case, x = –8. So the solutions to the equation |x + 3| = 5 are x = {–8, 2}.

  Generally speaking, to solve an equation in which the variable is within absolute value brackets, first isolate the expression within the absolute value brackets and then divide the equation into two. Keep one of these two equations the same, while in the other negate one side of the equation. In either case, the absolute value of the expression within brackets will be the same. This is why there are always two solutions to absolute value problems (unless the variable is equal to 0).

  Here is one more example:

  Solve for x in terms of y in the equation 3 = y2 – 1.

  First, isolate the expression within the absolute value brackets:

  Then solve for the variable as if the expression within absolute value brackets were positive:

  Next, solve for the variable as if the expression within absolute value brackets were negative:

  The solution set for x is {y2 – 3, –y2 –1}.

  以上就是关于“SAT2数学考试题目:Absolute Value”的内容,更多精彩内容,请关注SAT频道!


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