Lesson 2.1 Today’s Targets Interpret parts of an expression: such as terms, factors, and coefficients Explain the meaning of each term of an algebraic expression that models a real-world situation

You want to invite some friends to a football game. You know tickets cost $4 each. You have $23 to spend. 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?

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

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

Do the Explore on pages with your partner.

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?

Translate each verbal model 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

With your partner, write an algebraic expression for each statement: 1. Multiply by 4, and then add 3 to your answer 2. Add 3 to n, and then multiply by 4 3. Add 5 to n, and then divide your answer by 3 4. Multiply n by n, and then multiply your answer by 5 5. Multiply n by 5, and then square your answer

Translate and Identify as an expression, equation or inequality 1. The product of the square root of A and The quotient of V and 4 is at least Twice the quantity of Z increased by 7 is 9 4. The sum of B and the product of 4 and C is more than The product of 5 and the quantity of 4 less than Y 6. The difference of the square of R and 7

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.

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

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.

Turn to page 47 Comparing Algebraic Expressions Let’s work together.

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?

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?

Homework Page 49 #2-10 even, all