and Subtracting 10 2 Adding Radical Expressions Entering

and Subtracting 10 -2 Adding Radical Expressions Entering class room Conversation: ending Topic: about todays class Level: 2 (conversation ) Movement: go to asng. desk turn off cell phones/hats off/no food or drink get out pencil, paper and be ready to start bell ringer

and Subtracting 10 -2 Adding Radical Expressions Warm Up Lesson Presentation Lesson Quiz

and Subtracting 10 -2 Adding Radical Expressions Warm Up Simplify each expression. 1. 14 x + 15 y – 12 y + x 15 x + 3 y 2. 9 xy + 2 xy – 8 xy 3. – 3(a + b) + – 3 a – b + 10

and Subtracting 10 -2 Adding Radical Expressions Warm Up Continued Simplify. All variables represent nonnegative numbers. 4. 5. 6.

and Subtracting 10 -2 Adding Radical Expressions Sunshine State Standards MA. 912. A. 6. 2 Add [and] subtract…radical exprssions… MA. 912. A. 1. 4 Perform operations on real numbers (including…radicals…) using multistep and real-world problems.

and Subtracting 10 -2 Adding Radical Expressions Objective Add and subtract radical expressions.

and Subtracting 10 -2 Adding Radical Expressions Vocabulary like radicals

and Subtracting 10 -2 Adding Radical Expressions Square-root expressions with the same radicand are examples of like radicals.

and Subtracting 10 -2 Adding Radical Expressions Like radicals can be combined by adding or subtracting. You can use the Distributive Property to show this is done: Notice that you can combine like radicals by adding or subtracting the numbers multiplied by the radical and keeping the radical the same.

and Subtracting 10 -2 Adding Radical Expressions Helpful Hint Combining like radicals is similar to combining like terms.

and Subtracting 10 -2 Adding Radical Expressions Additional Example 1: Adding and Subtracting Square -Root Expressions Add or subtract. A. The terms are like radicals. B. The terms are unlike radicals. Do not combine.

and Subtracting 10 -2 Adding Radical Expressions Additional Example 1: Adding and Subtracting Square -Root Expressions Add or subtract. C. the terms are like radicals. D. Identify like radicals. Combine like radicals.

and Subtracting 10 -2 Adding Radical Expressions Check It Out! Example 1 Add or subtract. a. The terms are like radicals. b. The terms are like radicals.

and Subtracting 10 -2 Adding Radical Expressions Check It Out! Example 1 Add or subtract. c. The terms are like radicals. d. The terms are like radicals. Combine like radicals.

and Subtracting 10 -2 Adding Radical Expressions Sometimes radicals do not appear to be like until they are simplified, Simplify all radicals in an expression before trying to identify like radicals.

and Subtracting 10 -2 Adding Radical Expressions Additional Example 2 A: Simplify Before Adding or Subtracting Simplify each expression. Factor the radicands using perfect squares. Product Property of Square Roots. Simplify. Combine like radicals.

and Subtracting 10 -2 Adding Radical Expressions Additional Example 2 B: Simplify Before Adding or Subtracting Simplify each expression. Factor the radicands using perfect squares. Product Property of Square Roots. Simplify. The terms are unlike radicals. Do not combine.

and Subtracting 10 -2 Adding Radical Expressions Additional Example 2 C: Simplify Before Adding or Subtracting Simplify each expression. Factor the radicands using perfect squares. Product Property of Square Roots. Simplify. Combine like radicals.

and Subtracting 10 -2 Adding Radical Expressions Remember! When you write a radicand as a product, make at least one factor a perfect square.

and Subtracting 10 -2 Adding Radical Expressions Check It Out! Example 2 a Simplify each expression. Factor the radicands using perfect squares. Product Property of Square Roots. Simplify. Combine like radicals.

and Subtracting 10 -2 Adding Radical Expressions Check It Out! Example 2 b Simplify each expression. Factor the radicands using perfect squares. Product Property of Square Roots. Simplify. The terms are unlike radicals. Do not combine.

and Subtracting 10 -2 Adding Radical Expressions Check It Out! Example 2 c Simplify each expression. Factor the radicands using perfect squares. Product Property of Square Roots. Simplify. Combine like radicals.

and Subtracting 10 -2 Adding Radical Expressions Additional Example 3: Geometry Application Find the perimeter of the triangle. Give the answer as a radical expression in simplest form. Write an expression for perimeter. Factor 20 using a perfect square. Product Property of Square Roots. Simplify. Combine like radicals.

and Subtracting 10 -2 Adding Radical Expressions Check It Out! Example 3 Find the perimeter of a rectangle whose length is inches and whose width is inches. Give your answer as a radical expression in simplest form. Write an expression for perimeter 2 (l + w). Multiply each term by 2. Simplify. Combine like radicals. The perimeter is in.

and Subtracting 10 -2 Adding Radical Expressions Lesson Quizzes Standard Lesson Quiz for Student Response Systems

and Subtracting 10 -2 Adding Radical Expressions Lesson Quiz: Part I Add or subtract. 1. 2. 3. Simplify each expression. 4. 5.

and Subtracting 10 -2 Adding Radical Expressions Lesson Quiz: Part II 6. Find the perimeter of the trapezoid. Give the answer as a radical expression in simplest form. ft

and Subtracting 10 -2 Adding Radical Expressions Lesson Quiz for Student Response Systems 1. Add A. C. B. D.

and Subtracting 10 -2 Adding Radical Expressions Lesson Quiz for Student Response Systems 2. Add A. C. B. D.

and Subtracting 10 -2 Adding Radical Expressions Lesson Quiz for Student Response Systems 3. Solve the expression. A. C. B. D.

and Subtracting 10 -2 Adding Radical Expressions Lesson Quiz for Student Response Systems 4. Simplify the expression A. C. B. D.

and Subtracting 10 -2 Adding Radical Expressions Lesson Quiz for Student Response Systems 5. Simplify the expression. A. C. B. D.

and Subtracting 10 -2 Adding Radical Expressions Lesson Quiz for Student Response Systems 6. Identify the perimeter of the isosceles triangle. Give the answer as a radical expression in simplest form. A. B. C. D.