1. Today’s Targets
Translate verbal phrases and sentences into expressions, equations or inequalities
Identify the meaning of the parts of an expression

2. You know tickets cost $4 each.
You want to invite some friends to a
football game.
You know tickets cost $4 each.
If you translate the situation into an expression, you can use it to find the cost of inviting different numbers of friends to the game.
How would you write this as a
math expression?

3. Models
Verbal Model
Describes a real-world situation using words as labels and math symbols to relate the words.
Mathematical Model
An equation or expression using numbers and variables

4. Expression
A mathematical phrase that contains operations, numbers, and/or variables
Numerical expressions only contain numbers
Algebraic expressions contain at least one variable
Identify the parts of the expression
Terms
Coefficients
Factors of each term
𝟑 𝐱 𝟐 −𝟓𝐱+𝟒

5. Do the Explore on pages 45-46 with your partner.

6. How would you write “3 less a number” as an algebraic expression?
How would you write “3 less than a number”
as an algebraic expression?

7. Translate into a math model
1. twice the quantity four more than a number n
2. four less the square of a number a
3. the quotient of the square of the number b and eleven

8. Use your white boards to write an algebraic expression:
Multiply by 4, and then add 3 to your answer
Add 3 to n, and then multiply by 4
Add 5 to n, and then divide your answer by 3
Multiply n by n, and then multiply your answer by 5
Multiply n by 5, and then square your answer

9. Translate and Identify as an expression, equation or inequality
The product of the square root of A and 12
The quotient of V and 4 is at least 10
Twice the quantity of Z increased by 7 is 9
The sum of B and the product of 4 and C is more than -2
The product of 5 and the quantity of 4 less than Y
The difference of the square of R and 7

10. The Ski Lift Problem
You have a membership at a ski club. The membership costs you $40 per month, which includes 10 lift passes. You must pay a fee for each time you attend after the tenth day. Two months ago you paid $13.50 for 3 extra passes. Find the total cost for last month if you bought 7 extra lift tickets.

11. Write Equations and Inequalities
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12. Open Sentence
A mathematical statement that contains algebraic expressions and a symbol that compares them

13. An open sentence that contains the symbol =.
Equation
An open sentence that contains the symbol =.

14. Inequality
An open sentence that contains one of the symbols <, >, <, >.

15. Write an equation or inequality.
The sum of twice a number a and 5 is 12.
The quotient of a number and 2 is at most 14.
A number m is at least 6 and less than 19.

16. Is 5 a solution?
24 – 3d = 9
3x + 4 = 18
2w – 7 < 3
4 + 3w > 19

17. Sarah enrolled in a guitar class. The enrollment fee was $25
Sarah enrolled in a guitar class. The enrollment fee was $25. She paid a total of $70 for the enrollment fee and 3 lessons. What is the cost of each lesson?

18. Tyler would like to make at least $610 selling coffee mugs on-line
Tyler would like to make at least $610 selling coffee mugs on-line. If he sells 28 mugs for $22 each, will he achieve his goal?

19. Homework Page 18 #4-20 even, 13, 30, 31, 36, 37 Page 24
#4-22 even, even