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Explore evaluating algebraic expressions using the order of operations, formulas, and real-world examples. Practice simplifying, interpreting terms, and applying mathematical principles.

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  1. Splash Screen

  2. Five-Minute Check CCSS Then/Now New Vocabulary Key Concept: Order of Operations Example 1: Evaluate Algebraic Expressions Example 2: Evaluate Algebraic Expressions Example 3: Real-World Example: Use a Formula Lesson Menu

  3. Evaluate (12 – 9)3. A. 3 B. 9 C. 27 D. 729 5-Minute Check 1

  4. Simplify 5(4 + n) + 6n. A. 7n + 20 B. 10n + 5 C. 11n D. 11n + 20 5-Minute Check 2

  5. A. B. C. D. 5-Minute Check 3

  6. Which expression represents the area of a rectangle with length 2x and width x? A. 4x2 B. 4x C. 2x2 D. 2x 5-Minute Check 5

  7. Content Standards A.SSE.1.a Interpret parts of an expression, such as terms, factors, and coefficients. A.SSE.1.b Interpret complicated expressions by viewing one or more of their parts as a single entity. Mathematical Practices 1 Make sense of problems and persevere in solving them. CCSS

  8. You used the rules of exponents. • Use the order of operations to evaluate expressions. • Use formulas. Then/Now

  9. variables • algebraic expressions • order of operations • formula Vocabulary

  10. Concept

  11. Evaluate Algebraic Expressions Evaluate (x – y)3 + 3 if x = 1 and y = 4. (x – y)3 + 3 = (1 – 4)3 + 3 x = 1 and y = 4 = (–3)3 + 3 Subtract 4 from 1. = –27 + 3 Evaluate (–3)3. = –24 Add –27 and 3. Answer: –24 Example 1

  12. Evaluate f + g2 – 3g if f = 5 and g = 2. A. 3 B. 4 C. 6 D. –3 Example 1

  13. Evaluate Algebraic Expressions x = 5, y = –2, and z = –1 Evaluate the numerator and the denominator separately. Multiply in the numerator. Simplify the numerator and the denominator. Then simplify the fraction. Answer: –9 Example 2

  14. A. Evaluate a + b2(a – b) if a = 4 and b = –2. • A. 0 • B. 12 • C. 24 • 28 Example 2a

  15. B. • A. –1 • B. –3 • C. 3 • 4 Example 2b

  16. Use a Formula Example 3

  17. Use a Formula Answer: The area of the trapezoid is 152 square meters. Example 3

  18. A. 450 cm3 B. 75 cm3 C. 50 cm3 D. 10 cm3 Example 3

  19. End of the Lesson

  20. Assignment for Section 1.1: Pages 7 – 9 #’s: 11 – 16, 18 – 25, 43

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