Warm up Warm up

1.

Be ready to explain the problem to the class

Work individual on the problem in your group in your notes .

1) Explain2) Write down 3) Speakers4) Speakers

Be seated before the bell rings

DESK

homeworkWarm-up (in your notes)

Quiz – Thursday (today)

Test – next Tuesday 8/18

Agenda:

Warmup Go over hw Finish Note: 1.3 Start 1.4

NotebookTable of content

Page1

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.

= 2

1.3 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.

NotebookTable of content

Page1

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.

x2 = 1x2

Remember!

Example : Simplifying Expressions

Identify like terms.

Combine like terms. 3x2 + 4x2 = 7x2

3x2 + 2x – 3y + 4x2

3x2 + 2x – 3y + 4x2

7x2 + 2x – 3y

Example : Simplifying Expressions

Distribute, and identify like terms.

Combine like terms. 7jk – 7jk = 0

j(6k2 + 7k) + 9jk2 – 7jk

6jk2 + 7jk + 9jk2 – 7jk

15jk2

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

q2 + 4qr – r2 for r = 3 and q = 7

49 + 4(7)(3) – 9

49 + 84 – 9

124

(7)2 + 4(7)(3) – (3)2

4(5) – 2(25) + 3(5)

20 – 50 + 15

–15

You Try! Example 2

Evaluate x2y – xy2 + 3y for x = 2 and y = 5.

(2)2(5) – (2)(5)2 + 3(5)

Multiple choice practice

Multiple choice practice

Multiple choice practice

Multiple choice practice

Multiple choice practice

Multiple choice practice

Multiple choice practice