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Linear Equations in Disguise




 

Video solutions to help Grade 8 students learn how to solve equations that are not obviously linear equations.

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Lesson Plans and Worksheets for Grade 8

Lesson Plans and Worksheets for all Grades

More Lessons for Grade 8

Common Core For Grade 8


New York State Common Core Math Module 4, Grade 8, Lesson 8
Lesson 8 Outcome

•Students rewrite and solve equations that are not obviously linear equations using properties of equality.

Lesson 8 Summary

•Proportions are linear equations in disguise and are solved the same way we normally solve proportions.
•When multiplying a fraction with more than one term in the numerator and/or denominator by a number, put the expressions with more than one term in parentheses so you remember to use the distributive property when transforming the equation.
NYS Math Module 4 Grade 8 Lesson 8 Classwork and Examples
Concept Development
Some linear equations may not look like linear equations upon first glance. A simple example that you should recognize is
x/5 = 6/12
What do we call this kind of problem and how do we solve it?

Theorem. Given rational numbers A, B, C, and D, so that B ≠ 0 and D ≠ 0, the property states
If A/B = C/D, then AD = BC.

Example 1 - Example 4: Given a linear equation in disguise, we will try to solve it.

Example 5: In the diagram below, △ABC ∼ △A'B'C'. Using what we know about similar triangles, we can determine the value of x.




Lesson 8 Exercises 1 - 4
Solve the following equations of rational expressions, if possible.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.




 

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