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Warm up

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. Be seated before the bell rings. DESK. Warm-up (in your notes). Agenda: Warmup Go over hw Finish Note: 1.3

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Warm up

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  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

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