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Mathematics Mastery: Algebraic Expressions and Order of Operations

Enhance your understanding with examples and real-world applications of algebraic expressions and the order of operations. Explore formulas and evaluate expressions effectively.

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Mathematics Mastery: Algebraic Expressions and Order of Operations

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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. What is the area of a square with sides of 15 centimeters? A. 250 cm2 B. 225 cm2 C. 120 cm2 D. 60 cm2 5-Minute Check 4

  7. 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

  8. Chairs for a wedding can be rented at the costs shown in the table. Based on the pattern in the table, what is the cost to rent 250 chairs? A. $575 B. $625 C. $700 D. $750 5-Minute Check 6

  9. 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

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

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

  12. Concept

  13. 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

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

  15. Evaluate Algebraic Expressions A.Evaluate n – t(n2 – t) if n = 2 and t = 3.4. n – t(n2 – t) = 2 – 3.4(22 – 3.4) n = 2 and t = 3.4 = 2 – 3.4(4 – 3.4) Evaluate 22. = 2 – 3.4(0.6) Subtract 3.4 from 4. = 2 – 2.04 Multiply 3.4 and 0.6. = –0.04 Subtract 2.04 from 2. Answer: –0.04 Example 2

  16. Evaluate Algebraic Expressions B. 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

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

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

  19. Use a Formula Example 3

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

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

  22. End of the Lesson

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