1.3-1.4 Today’s Targets Translate verbal phrases and sentences into expressions, equations or inequalities Identify the meaning of the parts of an expression

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?

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 𝟑 𝐱 𝟐 −𝟓𝐱+𝟒

Do the Explore on pages 45-46 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 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

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

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

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.

Write Equations and Inequalities < > < >

Open Sentence A mathematical statement that contains algebraic expressions and a symbol that compares them

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

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.

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

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?

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?

Homework Page 18 #4-20 even, 13, 30, 31, 36, 37 Page 24 #4-22 even, 40-48 even