5-Minute Check on Chapter 2 Transparency 3-1 Click the mouse button or press the Space Bar to display the answers. 1.Evaluate 42 - |x - 7| if x = -3 2.Find 4.1  (-0.5) Simplify each expression 3. 8(-2c + 5) + 9c 4. (36d – 18) / (-9) 5.A bag of lollipops has 10 red, 15 green, and 15 yellow lollipops. If one is chosen at random, what is the probability that it is not green? 6. Which of the following is a true statement Standardized Test Practice: ACBD 8/4 < 4/8-4/8 < -8/4-4/8 > -8/4-4/8 > 4/8

Lesson 11-3 Radical Equations

Transparency 3 Click the mouse button or press the Space Bar to display the answers.

Transparency 3a

Objectives Solve radical equations Solve radical equations with extraneous solutions

Vocabulary Radical equation – Extraneous solution –

Solving Radical Equations xxxxx

Example 1 Free-Fall Height An object was dropped from an unknown height and reaches the ground in 5 seconds. From what height was it dropped? Use the equationto replace t with 5 seconds. Original equation Replace t with 5. Multiply each side by 4. Square each side. Simplify. Answer: The object was dropped from 400 feet.

Example 2 Solve Answer: The solution is 52. Original equation Subtract 8 from each side. Square each side. Add 3 to each side.

Example 3 Solve Original equation Square each side Simplify Subtract 2 and add y to each side Factor. Solve Zero Product Property or Answer: Since –2 does not satisfy the original equation, 1 is the only solution.

Summary & Homework Summary: –Solve radical equations by isolating the radical on one side of the equation. –Square each side of the equation to eliminate the radical. Homework: –pg