1. Splash Screen

2. Key Concept: Order of Operations
Five-Minute Check
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. Evaluate (12 – 9)3.
A. 3
B. 9
C. 27
D. 729
5-Minute Check 1

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

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

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

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

9. 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

10. 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

11. 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

12. 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

13. Chairs for a wedding can be rented at the costs shown in the table
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

14. Chairs for a wedding can be rented at the costs shown in the table
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

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

16. algebraic expressions order of operations formula
variables
algebraic expressions
order of operations
formula
Vocabulary

17. Concept

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

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

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

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

22. A. Evaluate n – t(n2 – t) if n = 2 and t = 3.4.
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:
Example 2

23. A. Evaluate n – t(n2 – t) if n = 2 and t = 3.4.
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

24. Evaluate the numerator and the denominator separately.
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:
Example 2

25. Evaluate the numerator and the denominator separately.
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

26. A. Evaluate a + b2(a – b) if a = 4 and b = –2.
C. 24 28
Example 2a

27. A. Evaluate a + b2(a – b) if a = 4 and b = –2.
C. 24 28
Example 2a

28. B.
A. –1
B. –3
C. 3 4
Example 2b

29. B.
A. –1
B. –3
C. 3 4
Example 2b

30. Use a Formula
Example 3

31. Use a Formula
Answer:
Example 3

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

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

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

35. End of the Lesson