【新SAT考试资料】新SAT数学OG数学真题详细讲解

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第一题:

Content: Heart of Algebra

Key: B

Objective: You must make a connection between the graphical form of a

relationship and a numerical description of a key feature.

Explanation: Choice B is correct. The slope of a line can be determined by

finding the difference in the y-coordinates divided by the difference in the

x-coordinates for any two points on the line. Using the points indicated, the

slope of line l is - 3/2. Translating line l moves all the points on the line

the same distance in the same direction, and the image will be a line parallel

to £. Therefore, the slope of the image is also - 3/2.

第二题：

Content: Passport to Advanced Math

Key: A

Objective: You must complete operations with multipleterms and manipulate

an equation to isolate the variable of interest.

Explanation: Choice A is correct. Multiplying both sidesof the equation by

the denominators of the rational expressions in the equation gives 2y = 4a - 4.

You should then divide both sides by 2 to isolate the y variable, yielding the

equation y = 2a - 2.

第三题：

Content: Heart of Algebra

Key: D

Objective: You must interpret the slope of an equationin relation to the

realworld situation it models. Also, when themodels are created from data, you

must recognize that these models only estimate the independent variable, y, for

a given value of x.

Explanation: Choice D is correct. When an equation is written in the form y

= mx + b, the coefficient of the x-term (in this case 0.8636) is theslope. The

slope of this linear equation gives the amount that the mean number of students

per classroom (represented by y) changes per year (represented by x).

第四题：