2017年GRE考试数学考点讲解11

　　Solve Equation of One Variable

　　To solve a linear equation isolate the variable, that is bring the variable to one side with arithmetic operations.

　　Example:

　　To solve ax+b=c use the following steps:

　　1.ax+b=c, subtract b from both sides

　　2.ax=c-b, divide both sides by a

　　3.x=(c-b)/a

　　Remember:

　　All linear equations of one variable can be written as ax+b=c and the solution is x=(c-b)/a.

　　GRE考试数学考点：Substitution

　　Substitution

　　Substitution is a method where one or more variables in an expression is replaced by numbers or another set of variables.To evaluate an expression specific numbers are used as substitute. To express in terms of another set of variables, variables are replaced by the new set of variables.

　　Example:

　　If x=3, then 2x2+4x+1 can be evaluated by substituting 3 for x.

　　Replacing all x by 3, we get 2*32+4*3+1=31.

　　If x=2+y, then x2-3 can be expressed in terms of y by replacing all x by (2+y):(2+y)2-3=y2+4y+1.

　　Remember:

　　Do not forget to replace all occurrences of the variable.

　　After substitution the variable does not appear anywhere in the expression.