1. Warm-up

2. Variables and Expressions
Lesson 1-1
Glencoe Algebra 1
Variables and Expressions

3. Learning Goal You performed operations on integers.
Write verbal expressions for algebraic expressions.
Write algebraic expressions for verbal expressions.
Then/Now

4. Vocabulary
algebraic expression – an expression consisting of numbers and variables
variables – symbols used to represent unspecified numbers or values
term – a number, a variable or the product or quotient of a number and one or more variables
factors – quantities being multiplied
power – an expression of the form xⁿ which is read x to the nth power.
exponent xⁿ
base

5. A. Write a verbal expression for 8x2.
Write Verbal Expressions
A. Write a verbal expression for 8x2.
Answer: eight times x squared
Example 1

6. B. Write a verbal expression for y5 – 16y.
Write Verbal Expressions
B. Write a verbal expression for y5 – 16y.
Answer: the difference of y to the fifth power and 16 times y
Example 1

7. A. Write a verbal expression for 7a4.
A. 7 times a
B. 7 times the product of 4 and a
C. 7 times a to the fourth power
D. 4 times a to the seventh power
Example 1

8. B. Write a verbal expression for x2 + 3.
A. the sum of 3 and x
B. the product of x squared and 3
C. the sum of x and 3 squared
D. the sum of x squared and 3
Example 1

9. KC

10. A. Write an algebraic expression for 5 less than a number c.
Write Algebraic Expressions
A. Write an algebraic expression for 5 less than a number c.
The words less than suggest subtraction.
a number c less five
c – 5
Answer: Thus, the algebraic expression is c – 5.
Example 2

11. B. Write an algebraic expression for 9 plus the product of 2 and d.
Write Algebraic Expressions
B. Write an algebraic expression for 9 plus the product of 2 and d.
Plus implies add, and product implies multiply.
Answer: The expression can be written as 9 + 2d.
Example 2

12. C. Write an algebraic expression for two fifths of the area a.
Write Algebraic Expressions
C. Write an algebraic expression for two fifths of the area a.
The word of implies multiply.
Example 2

13. A. Write an algebraic expression for nine more than a number h.
A. 9 – h
B. 9h
C. 9 + h
D. h – 9
Example 2

14. B. Write an algebraic expression for the difference of 6 and 4 times a number x.
A. 6 – 4x
B. (6 – 4) + x
C x
D. 6x – 4
Example 2

15. C. Write an algebraic expression for one half the size of the original perimeter p.
A. 2p B.
C. p2
D. p
Example 2

16. Answer: The cost of the tickets is represented by 2a + 3c.
Write an Expression
ENTERTAINMENT Mr. Nehru bought two adult tickets and three student tickets for the planetarium show. Write an algebraic expression that represents the cost of the tickets.
Let a be the cost of each adult ticket and c be the cost of each student ticket. The cost of the adult tickets is represented by 2a and the cost of the student tickets is represented by 3c.
Answer: The cost of the tickets is represented by 2a + 3c.
Example 3

17. MONEY Lorenzo bought a bag of peanuts that cost p dollars and he gave the cashier a $20 bill. Write an expression for the amount of change that he will receive.
A. 20 – p
B. p – 20
C p
D. 20  p
Example 3

18. Using a Model

20. End of the Lesson

21. homework
p 7 #11-39 odd; #43-46 all
Mixed Review 1 Due Monday 9/15