Forbest Academy

免费资源 > SAT-数学 > SAT数学:代数例题 10

SAT数学:代数例题 10

2019-09-12 SAT-数学 阅读

SAT Question
Rank: Medium
Topic: Plane Geometry, Algebra, Factorizing Quadratics

Below is a question from a recent SAT exam. It is a non-calculator question that would typically take a student 1-2 minutes to complete.

In the xy-plane, the graph of the function
has two x-intercepts. What is the distance between the x-intercepts?

This curve will the x-axis at the points where y=0. These are the x-intercepts.
So we will set our function equal to 0.

Now we have a quadratic equation which we can factorize.
We are looking for 2 numbers which add together to make 5 and multiply together to make 4.
Only 2 numbers satisfy these conditions. +4 and +1.
Therefore, we can place these numbers into double bracket form.

We can divide through by each bracket individually to get two solve able equations.
So, our solutions are:

Now we just need to find the difference between these numbers.

As a distance cannot be negative, we use the absolute value of 3.
So, the answer is C.


  • 地址:401-5811 Cooney Rd, Richmond, BC
  • 地址:3030-8171 Ackroyd Rd, Richmond, BC
  • 客服热线:604-370-0579 & 604-370-2569
  • 联系邮箱
  • 地址:江苏省无锡市滨湖区绣溪路50号K-PARK商务大楼3号楼3楼317室
  • 客服热线:181-1861-8855
  • 官方公众号
  • 加拿大官方客服
  • 中国官方客服

Copyright 2021 Forbest Academy  福拜思教育

电话咨询 置顶 English