Lesson 198 of 1524
1.7 Explaining Steps for Rewriting Equations
Illustrate that dividing by a variable is not used in solving equations because it can lead to equations that have fewer solutions than the original equation
Practice this chapterIllustrate that dividing by a variable is not used in solving equations because it can lead to equations that have fewer solutions than the original equation Demonstrate that equations that are not true for any value of the variable(s) do not have solutions
Through these discussions you had the opportunity to construct logical arguments
Be able to explain why some algebraic moves create equivalent equations but some do not.
Worked example
What does this chapter state?
- 1Illustrate that dividing by a variable is not used in solving equations because it can lead to equations that have fewer solutions than the original equation
- 2That claim is the chapter’s own statement.
- 3Answer from the claim, not from where the chapter sits in the book.
Result: Illustrate that dividing by a variable is not used in solving equations because it can lead to equations that have fewer solutions than the original equation
Why. The sentence is taken from this chapter’s summary or key concepts.
Answer with the meaning this chapter gives. A nearby idea from the same book is a different term.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.