algebra 2 friday 4-17-15 today, we will be able to… define new vocabulary: radical equation;...

Algebra 2 Friday 4-17-15Today, we will be able to… Define new vocabulary: radical equation; extraneous solution;

radical inequality Solve equations containing radicals Solve inequalities containing radicalsWe will show we can do this by… Q&A Completing the Guided Practice Problems Completing the book work assignmentTo know how well we are learning this, we will look for… Correct answersIt is important for us to learn this (or be able to do this) because.... The topics covered in Chapter 7 (Radical Equations and

Inequalities) will help prepare students for Precalculus. The inverse of a quadratic function is a square root function when the range is restricted to nonnegative numbers. The concept of equations and inequalities based on square root functions carries over into solving radical equations and inequalities. Many formulas involve square roots. The math solutions to these are always analyzed for reasonableness in the context of the situation.

Tomorrow we will… Practice solving equations and inequalities containing radicals.

Yesterday we…Practiced writing expressions with rational exponents in radical form and vice-versa. We also practice simplifying expression in exponential or radical form.

Warm-UpsComplete the ‘’After Section’’ self-evaluation portion of success criteria for Section 7.6 on your gold sheets.

Discussion/Notes/Guided Practice• Section 7.7: Solving Rational Equations and

Inequalities

Assignment:A#7.7 Pg. 425 #12-38 even (skip 30)

Chapter 7 TestEnd of next week???

Warm-ups: Simplify or Evaluate the following

832 ∙8

52

(𝑏13 )35

1614 25

− 12

𝑥34 ∙𝑥

94 ∙𝑥3

New vocabulary

Radical Equation:

Equations with ___________ that have ____________ in the ___________________.

Radical Inequality:

Inequalities with ___________ that have ____________ in the _________________.

Extraneous Solution:

A number obtained as a ______________ that does not satisfy the _______________.

Steps to solving a radical equation

1. Isolate the radical on one side of the equals sign.

2. Raise each side of the equation to a power equal to the index of the radical. This eliminates the radical!

3. Solve for the variable.

4. Check your solution to ensure it is not extraneous!

Example #1: Solve Radical EquationsSolve each equation.

a. b.

GUIDED PRACTICE#1: Solve Radical EquationsSolve each equation.

c. d.

Example #2: Solve a Cube (or higher) Root Equation

Solve.a. b.

GUIDED PRACTICE #2: Solve a Cube (or higher) Root Equation

Solve.c. d.

Example #3: Solve a Radical Inequality

Solve.a. b.

GUIDED PRACTICE #3: Solve a Radical Inequality

Solve.a. b.

A#7.7 Pg. 425 #12-38 even (skip 30)