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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

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

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

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

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

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

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

5-Minute Check 4 A.250 cm 2 B.225 cm 2 C.120 cm 2 D.60 cm 2 What is the area of a square with sides of 15 centimeters?

5-Minute Check 4 A.250 cm 2 B.225 cm 2 C.120 cm 2 D.60 cm 2 What is the area of a square with sides of 15 centimeters?

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

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

5-Minute Check 6 A.$575 B.$625 C.$700 D.$750 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?

5-Minute Check 6 A.$575 B.$625 C.$700 D.$750 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?

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:

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 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:

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: Evaluate the numerator and the denominator separately. Multiply in the numerator. Simplify the numerator and the denominator. Then simplify the fraction. B.

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 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 2b A.–1 B.–3 C.3 D.4 B.

Example 3 Use a Formula

Example 3 Use a Formula Answer:

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

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

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