2. Main Idea and New Vocabulary
Example 1: Translate Phrases into Algebraic Expressions
Example 2: Translate Phrases into Algebraic Expressions
Example 3: Evaluate Algebraic Expressions
Example 4: Evaluate Algebraic Expressions
Example 5: Evaluate Algebraic Expressions
Example 6: Real-World Example: Use Expressions to Solve Problems
Lesson Menu

3. Translate verbal phrases into algebraic expressions
Translate verbal phrases into algebraic expressions. Evaluate algebraic expressions.
variable
algebra
algebraic expression
defining a variable
Main Idea/Vocabulary

4. Translate Phrases into Algebraic Expressions
Translate seven dollars more than John has into an algebraic expression.
Answer: 7 + d
Example 1

5. Translate nine more books than Maria has into an algebraic expression.
A. 9b
B. 9 + b
C. 9 – b
D. 9b + 1
Example 1 CYP

6. Translate Phrases into Algebraic Expressions
Translate Mrs. Ruiz had 50 pens and gave 2 to each of her students into an algebraic expression.
Answer: 50 – 2s
Example 2

7. Translate Mark had 20 guitar picks and gave 3 to each of his friends into an algebraic expression.
A f
B f
C. 20 – f
D. 20 – 3f
Example 2 CYP

8. Evaluate Algebraic Expressions
Evaluate (x – y) + 3 ● (–2) if x = –4 and y = 5.
(x – y) + 3 ● (–2) = (–4 – 5) + 3 ● (–2) Replace x with –4 and y with 5.
= –9 + 3 ● (–2) Perform operations in the parentheses first.
= –9 + –6 or – Multiply 3 and –2. Then add.
Answer: –15
Example 3

9. Evaluate (x + y) + 2 ● (–4) if x = 3 and y = –6.
B. –11
C. –5
D. 4
Example 3 CYP

10. Evaluate Algebraic Expressions
Evaluate 3(a – b) ÷ 2 if a = 8 and b = 4.
3(a – b) ÷ 2 = 3(8 – 4) ÷ Replace a with 8 and b with 4.
= 3(4) ÷ Perform operations in the parentheses first.
= 12 ÷ 2 or Multiply 3 and 4. Then divide.
Answer: 6
Example 4

11. Evaluate 5(a – b) ÷ 4 if a = 7 and b = 3.
C. 6
D. 10
Example 4 CYP

12. Evaluate Algebraic Expressions
Evaluate if c = 2 and d = 6.
Replace c with 2 and d with 6.
Simplify.
Evaluate the numerator and denominator. Then divide.
Answer: 2
Example 5

13. Evaluate if c = 9 and d = –6.
A. –1 B.
C. 1 D.
Example 5 CYP

14. Use Expressions to Solve Problems
KAYAKS River Rentals rents kayaks. They charge a $10 service charge plus $3 per hour. Write an expression that can be used to find the total cost to rent a kayak for any number of hours.
Answer: The expression is h.
Example 6

15. KAYAKS River Rentals rents kayaks
KAYAKS River Rentals rents kayaks. They charge a $10 service charge plus $3 per hour. What is the total cost to rent a kayak for 3 hours?
A. $13
B. $16
C. $19
D. $33
Example 6 CYP