Solving Equations with Rational Exponents and Radicals

Slides:

Advertisements

Similar presentations

A radical equation is an equation that contains a radical.

Advertisements

Objectives: 1.Be able to solve a radical equation. 2.Be able to solve an equation that contains a rational exponent. Critical Vocabulary: Rational Exponents,

Warm-up Find the domain and range from these 3 equations.

WARM-UP. 8.6 PRACTICE SOLUTIONS(14-33 EVEN) CLEAR UP A FEW THINGS.

Solving Equations by Extracting Roots

Algebra 1 Notes: Lesson 8-5: Adding and Subtracting Polynomials.

6.5 Solving Square Root and Other Radical Equations p390.

Skill 22: Solving a Radical Equation Mrs. Castro.

Lesson 1 Chapter 3. Objectives Solve equations using addition and subtraction.

Taking the n th Root to Solve Equations Chapter 7.1.

Solving Radical Equations Chapter 7.6. What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable.

7.5 Solving Radical Equations Objective: Be able to solve square root equations and other radical equations.

Chapter multiplying and dividing rational expressions.

Radical expressions, rational exponents and radical equations ALGEBRA.

Dear Power point User, This power point will be best viewed as a slideshow. At the top of the page click on slideshow, then click from the beginning.

Warm Up Simplify each expression. Assume all variables are positive

1 Unit 3 Day 3 Rational Exponents and Radicals. 2 Day 3 Warm Up Warm-up Notes p. 7 (Properties of Exponents…with FRACTIONS!) Even though they seem more.

7.5 Solving Radical Equations. What is a Radical Equation? A Radical Equation is an equation that has a variable in a radicand or has a variable with.

Algebra 2 Ch.7 Notes Page 50 P Solving Square Roots and Other Radical Equations (Part 1)

Algebra 2 Solving Radical Equations Section 7-5 Solving Square Root and Other Radical Equations Lesson 7-5.

HW Warm-Up Evaluate the expression. HW Lesson 9.1: Solving Quadratic Equations by Finding Square Roots Algebra I.

WARM UP 1.Multiply and simplify 2. Rationalize the denominator 3. Rationalize the denominator 1.

Solutions to Special Practice

Section 7.1 Rational Exponents and Radicals.

4A.3 - Solving Radical Equations and Inequalities

Solving Radical Equations and Inequalities

Expanded, Exponent, and Standard Form

Roots of Real Numbers lesson 5-5

Laws of Exponents (Warm-Up)

Radical Functions and Rational Exponents

Laws of Exponents (Warm-Up)

Rational Exponents and Solving Radical Equations

Essential Questions Solving Radical Equations and Inequalities

Rational Exponents.

Section 11-5 Solving Radical Equations

7.5 Solving Radical Equations

Day 3 Warm-up A circular pond is modeled by the equation x2 + y2 = 225. A bridge over the pond is modeled by a segment of the equation x – 7y = – 75.

Accentuate the Negative

Solving Radical Equations and Inequalities

4.3 - Solving Radical Equations and Inequalities

4A.3 - Solving Radical Equations and Inequalities

3-8 Solving Radical equations

7.5 Exponential and Logarithmic Equations

Unit 3: Exponents, radicals, and exponential equations

Exponential & Logarithmic Equations

7.5 Solving Radical Equations

6.4 Solving Radical Equations

Solving Radical Equations

Solving Square Roots Unit 3 Day 3.

7.5 Solving Radical Equations

Solving Radical Equations

Solve for x: 1) xln2 = ln3 2) (x – 1)ln4 = 2

The product of 3x5  2x4 is 6x20 6x9 5x20 5x9

2.1 Solving Radical Equations

Solving Radical Equations

Exponential & Logarithmic Equations

Warm-Up #10 Solve and graph 5x -3 < 7 and 3x < 6

Exponential & Logarithmic Equations

Solving Radical Equations

7.5 Solving Radical Equations

Chapter 8 Section 6 Solving Exponential & Logarithmic Equations

Re-test will be on FRIDAY.

Warm UP Simplify .

Section 5.8 Solving Radical Equations

Algebra 1 Warm Ups 1/15.

Equations and Exponents

Presentation transcript:

Solving Equations with Rational Exponents and Radicals Unit 3 Day 4 Solving Equations with Rational Exponents and Radicals

Day 4 Warm Up Modeling with Exponential Functions: Solving Equations with Rational Exponents and Radicals You know a lot about inverses in mathematics – we use them every time we solve equations. Write down the inverse operation for each of the following (there could be more than one correct answer) and then give a definition for “inverse” in your own words. If you get stuck, it may be helpful for you to write the expression out and think what you would do to solve an equation that had that expression on one side of the equation. An “inverse” is… Use if did NOT complete Notes p11 on Day 3

Day 4 Warm Up Modeling with Exponential Functions: Solving Equations with Rational Exponents and Radicals An “inverse” is… x – 7 adding 7 to a number x * 1/2 multiply by 2 x * 2/5 multiply by 5/2 x/3 multiply by 3 x 2 take square root Use if did NOT complete Notes p11 on Day 3 squaring a number x5 raising to the 1/5 power raising to the 5th power raising to the 5/2 power

Homework Answers Packet p. 5 and 6 evens

Homework Answers Packet p. 5 and 6 evens

Homework Answers Finish Notes p. 9

Homework Answers Finish Notes p. 9

Make sure you have all of the answers correct to the table above before going on. Now that you’re finished, we’re going to combine our skills from this unit so far to solve some more challenging equations. Work with a partner – Decide who will be Partner A and who will be Partner B. Use if did NOT complete Notes p11 on Day 3

Solving with Rational Exponents and Radicals Lesson Yesterday’s problems only had one step. You cannot do this step until the radical or rational exponent is isolated on one side of the equation. You can isolate the radical using the inverses discussed at the beginning of the lesson. There are also some problems below in which the rational exponent or radical is applied to the entire side of the equation. Only in these situations will you undo the rational exponents or radicals first. Before solving the entire problem, make sure you know what the first step will be. We’ll try a couple together!

One more example: (not in notes!)

Finish Packet pg. 12

Homework: Packet pg. 7