Algebra Warm-up and Simplification Exercises

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

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

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

4. 1.3 notes continues Rationalizing the Denominator Simplify by rationalizing the denominator. Multiply by a form of 1. = 2

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

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

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

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

9. Remember! Terms that are written without a coefficient have an understood coefficient of 1. x2 = 1x2 1-4 Simplify Algebra Expression

10. Example : Simplifying Expressions 3x2 + 2x – 3y + 4x2 3x2 + 2x – 3y + 4x2 Identify like terms. Combine like terms. 3x2 + 4x2 = 7x2 7x2 + 2x – 3y

11. Example : Simplifying Expressions j(6k2 + 7k) + 9jk2 – 7jk 6jk2 + 7jk + 9jk2– 7jk Distribute, and identify like terms. Combine like terms. 7jk – 7jk = 0 15jk2

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

13. Example : Evaluating Algebraic Expressions q2 + 4qr – r2 for r = 3 and q = 7 (7)2 + 4(7)(3) – (3)2 49 + 4(7)(3) – 9 49 + 84 – 9 124

14. You Try! Example 2 Evaluate x2y – xy2 + 3y for x = 2 and y = 5. (2)2(5) – (2)(5)2 + 3(5) 4(5) – 2(25) + 3(5) 20 – 50 + 15 –15

15. Multiple choice practice

16. Multiple choice practice

17. Multiple choice practice

18. Multiple choice practice

19. Multiple choice practice

20. Multiple choice practice

21. Multiple choice practice