5-Minute Check on Chapter 2 Transparency 3-1 5-Minute Check on Chapter 2 Evaluate 42 - |x - 7| if x = -3 Find 4.1  (-0.5) Simplify each expression 3. 8(-2c + 5) + 9c 4. (36d – 18) / (-9) 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? Which of the following is a true statement Standardized Test Practice: A 8/4 < 4/8 B -4/8 < -8/4 C -4/8 > -8/4 D -4/8 > 4/8 Click the mouse button or press the Space Bar to display the answers.

Operations with Radical Expressions Lesson 11-2 Operations with Radical Expressions

Click the mouse button or press the Space Bar to display the answers. Transparency 2

Transparency 2a

Objectives Add and subtract radical expressions Multiply radical expressions

Vocabulary none new

Addition and Subtraction PoE Properties of Equality (PoE) are based on the concept that as long as you do the same thing to both sides of an equation, then you have not changed anything. Addition PoE For any numbers a, b, and c, if a = b, then a + c = b + c You can add the same thing to both sides of an equation without changing it. Subtraction PoE For any numbers a, b, and c, if a = b, then a - c = b - c You can subtract the same thing from both sides of an equation without changing it.

Example 1 A. Simplify Distributive Property Answer: Simplify. B. Simplify Commutative Property Distributive Property Answer: Simplify.

Example 2 Simplify Answer: The simplified form is

Example 3 Find the area of a rectangle with a width of and a length of To find the area of the rectangle multiply the measures of the length and width.

Example 3 cont Multiply Prime factorization Simplify First terms Outer terms Inner terms Last terms Multiply Prime factorization Simplify Combine like terms Answer: The area of the rectangle is square units.

Summary & Homework Summary: Homework: Radical expressions with like radicands can be added or subtracted Use the FOIL method to multiply radical expressions Homework: pg