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Lesson Menu 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

CCSS 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.

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

Vocabulary variables algebraic expressions order of operations formula

Concept

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

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

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

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

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

Example 2b A.–1 B.–3 C.3 D.4 B.

Example 3 Use a Formula

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

Example 3 A.450 cm 3 B.75 cm 3 C.50 cm 3 D.10 cm 3

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