## SAT Math Tutorial

*Heart of Algebra | Solving Linear Equations | Level 2*

#### Intro

This is question 6 from Lesson 1 of my book The Scholarly Unicorn’s SAT Math Advanced Guide.

Topic: Heart of Algebra

Subtopic: Solving Linear Equations

Level: 3

#### Sample Problem

*L*= 11 + 1.6

*M*

One end of an elastic band is taped to the bottom of a ceiling fan. When an object of mass *M* kilograms is attached to the other end of the elastic band, the band stretches to a length of *L* centimeters as shown in the equation above. What is *M* when *L* = 13 ?

#### Solution

*** Algebraic solution:** We let *L* = 13 and solve for *M*.

*M*

2 = 1.6

*M*

*M*= 2/1.6 = 20/16 = 5/4 or 1.25.

**Note:** There are lots of words in this problem that are completely unnecessary. The question could have simply been asked as follows:

If *L* = 11 + 1.6*M*, what is *M* when *L* = 13 ?

The SAT often likes to artificially create a “real world” context which is not needed when solving the problem.

Here is a video solution for this problem:

# About The Author

Expert Math Tutor, SAT Instructor, And Author |

I am a math professor, author of more than 20 math test prep books, experienced math tutor, and expert in preparing students for standardized tests. I began tutoring students in mathematics when I was a sophomore in college. By the time I began college, I had already tutored more than 100 stude... |