Warm up 1. Be ready to explain the problem to the class Work individual on the problem in your group in your notes. 1)Explain 2)Write down 3)Speakers 4)Speakers

Be seated before the bell rings DESK homework Warm-up (in your notes) Quiz – Thursday (today) Test – next Tuesday 8/18 Agenda: Warmup Go over hw Finish Note: 1.3 Start 1.4

Notebook Table of content Page 1 1 1) 1-1 Sets of Numbers /1.2 Properties of Numbers 2) 1-3 Square Roots 1-3 Square Roots Glue in notes

Simplify by rationalizing the denominator. Rationalizing the Denominator Multiply by a form of 1. = notes continues

Simplify the expression. Rationalizing the Denominator Multiply by a form of 1.

You Try! Example Simplify by rationalizing the denominator. Multiply by a form of 1.

You Try! Example Simplify by rationalizing the denominator. Multiply by a form of 1.

Notebook Table of content Page 1 1 1) 1-1 Sets of Numbers /1.2 Properties of Numbers 2) 1-3 Square Roots 3) 1-4 Simplify Algebra Expression 1-4 Simplify Algebra Expression Warm up

1-4 Simplify Algebra Expression Terms that are written without a coefficient have an understood coefficient of 1. x 2 = 1x 2 Remember!

Example : Simplifying Expressions Identify like terms. Combine like terms. 3x 2 + 4x 2 = 7x 2 3x 2 + 2x – 3y + 4x 2 7x 2 + 2x – 3y

Example : Simplifying Expressions Distribute, and identify like terms. Combine like terms. 7jk – 7jk = 0 j(6k 2 + 7k) + 9jk 2 – 7jk 6jk 2 + 7jk + 9jk 2 – 7jk 15jk 2

You Try ! Example 3 –6x + 3xy – 9y – 11xy Simplify the expression –3(2x – xy + 3y) – 11xy. Distribute, and identify like terms. Combine like terms. 3xy – 11xy = –8xy –6x – 8xy – 9y

Example : Evaluating Algebraic Expressions q 2 + 4qr – r 2 for r = 3 and q = (7)(3) – – (7) 2 + 4(7)(3) – (3) 2

4(5) – 2(25) + 3(5) 20 – –15 You Try! Example 2 Evaluate x 2 y – xy 2 + 3y for x = 2 and y = 5. (2) 2 (5) – (2)(5) 2 + 3(5)

Multiple choice practice