10.4 Radical Equations Algebra 1. 5-Minute Check A. B. C. D.

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Presentation transcript:

10.4 Radical Equations Algebra 1

5-Minute Check A. B. C. D.

5-Minute Check A. B. C. D.

5-Minute Check A. B. C. D.

Content Standards N.RN.2 Rewrite expressions involving radicals and rational exponents using the properties of exponents. A.CED.2 Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Mathematical Practices 3 Construct viable arguments and critique the reasoning of others. 4 Model with mathematics. Common Core State Standards © Copyright National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

You added, subtracted, and multiplied radical expressions. Solve radical equations. Solve radical equations with extraneous solutions.

Example 1 Variable as a Radicand FREE-FALL HEIGHT An object is dropped from an unknown height and reaches the ground in 5 seconds. Use the equation, where t is time in seconds and h is height in feet, to find the height from which the object was dropped.

You Try! A.28 ft B.11 ft C.49 ft D.784 ft FREE-FALL HEIGHT

Expression as a Radicand Steps for Solving Radical Functions:  Isolate the radical.  Square both sides.  Finish solving!  CHECK YOUR SOLUTIONS!!!

A.64 B.60 C.4 D.196

Variable on Each Side Check your solution. Steps for Solving Radical Functions:  Isolate the radical.  Square both sides.  Finish solving!  CHECK YOUR SOLUTIONS!!!

A.3 B.–1 C.–1, 3 D.–3