首页 > SAT > SAT数学

新SAT数学OG模拟题-Multiple choice题型例题(1)

今天课窝小编为大家带来新SAT数学OG模拟题，希望可以帮助考生们提升数学技能的运用和解决问题。接下来就让我们一起来学习吧!

Line £ is graphed in the xv-plane below.

If line l is translated up 5 units and right 7 units, then what is the slope of

the new line?

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 - . 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 - .

The mean number of students per classroom, y, at Central High School can be estimated using the equation y = 0.8636x + 27.227, where x represents the number of years since 2004 and x 10. Which of the following statements is the best interpretation of the number 0.8636 in the context of this problem?

A. The estimated mean number of students per classroom in 2004

B. The estimated mean number of students per classroom in 2014

C. The estimated yearly decrease in the mean number of students per classroom

D. The estimated yearly increase in the mean number of students per classroom

Content: Heart of Algebra

Key: D

Objective: You must interpret the slope of an equation in relation to the real-

world situation it models. Also, when the models 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 the slope.