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Solving Radical Equations & Extraneous Solutions (Notes, WS, PopQuizzes w/Keys)
Solving Radical Equations & Extraneous Solutions (Notes, WS, PopQuizzes w/Keys)
Solving Radical Equations & Extraneous Solutions (Notes, WS, PopQuizzes w/Keys)
Solving Radical Equations & Extraneous Solutions (Notes, WS, PopQuizzes w/Keys)
Solving Radical Equations & Extraneous Solutions (Notes, WS, PopQuizzes w/Keys)
Solving Radical Equations & Extraneous Solutions (Notes, WS, PopQuizzes w/Keys)
Solving Radical Equations & Extraneous Solutions (Notes, WS, PopQuizzes w/Keys)
Solving Radical Equations & Extraneous Solutions (Notes, WS, PopQuizzes w/Keys)
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Description

- A page of Class Notes regarding solving radical equations, which includes a new concept called EXTRANEOUS SOLUTIONS (Solutions in certain algebraic problems that appear correct mathematically, but do not 'check out' if you were to attempt to verify an answer's accuracy/existence with its original equation). This topic is designed to be presented after the completion of certain Algebra 1 and/or Algebra 2 topics.
-- A 3-page worksheet of practice (With detailed answer key). See "View Preview" to view page one of this worksheet series.
-- 2 similar "Pop Quizzes" (With detailed answer keys) to assess how much information students retained of this topic.

**Note: For this topic, a modest to strong background knowledge of certain Algebra 1 and 2 concepts is already implied, such as the basic knowledge of radicals (simplifying, index and radicands), along with solving for variables through the use of squaring both sides of an equation, and factoring, for example.

Please also consider my precursor to this entry, the previous section:
"Binomial Radical Expressions, Multiply & Rationalize" (Click to view)

Student tested, teacher approved!**

**I have been a teacher now for over a collective 20 years, 15+ of those teaching each mathematical level in Pennsylvania schools ranging from Pre-Algebra to Pre-Calculus. All of my submissions have been used for my classes for multiple years to great success.

Check Out: BRIAN LEGUTKO MATH STORE

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Solving Radical Equations & Extraneous Solutions (Notes, WS, PopQuizzes w/Keys)

Brian Legutko Math Store
63 Followers
$2.50

Highlights

Digital downloads
Grades icon
Grades
8th - 11th
Standards icon
Standards
Pages
13
Answer Key
Included
Teaching Duration
3 days

Description

- A page of Class Notes regarding solving radical equations, which includes a new concept called EXTRANEOUS SOLUTIONS (Solutions in certain algebraic problems that appear correct mathematically, but do not 'check out' if you were to attempt to verify an answer's accuracy/existence with its original equation). This topic is designed to be presented after the completion of certain Algebra 1 and/or Algebra 2 topics.
-- A 3-page worksheet of practice (With detailed answer key). See "View Preview" to view page one of this worksheet series.
-- 2 similar "Pop Quizzes" (With detailed answer keys) to assess how much information students retained of this topic.

**Note: For this topic, a modest to strong background knowledge of certain Algebra 1 and 2 concepts is already implied, such as the basic knowledge of radicals (simplifying, index and radicands), along with solving for variables through the use of squaring both sides of an equation, and factoring, for example.

Please also consider my precursor to this entry, the previous section:
"Binomial Radical Expressions, Multiply & Rationalize" (Click to view)

Student tested, teacher approved!**

**I have been a teacher now for over a collective 20 years, 15+ of those teaching each mathematical level in Pennsylvania schools ranging from Pre-Algebra to Pre-Calculus. All of my submissions have been used for my classes for multiple years to great success.

Check Out: BRIAN LEGUTKO MATH STORE

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

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Standards

to see state-specific standards (only available in the US).
Use square root and cube root symbols to represent solutions to equations of the form 𝘹² = 𝘱 and 𝘹³ = 𝘱, where 𝘱 is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that √2 is irrational.
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
Solve quadratic equations by inspection (e.g., for 𝘹² = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as 𝘒 Β± 𝘣π˜ͺ for real numbers 𝘒 and 𝘣.
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