1. Expressions and Formulas
1.1 Notes
Expressions and Formulas

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

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

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

5. 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

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. 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
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. 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

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

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

12. Concept

13. 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

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

15. 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

16. Evaluate Algebraic Expressions
Answer:
Example 2

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

18. B.
A. –1
B. –3
C. 3 4
Example 2b

19. Use a Formula
Example 3

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