Your First Do Now 7x + 3y – 12t – 10 Rewrite the expression so all the terms are being added together. List the terms of the expression List the coefficients Avery bought a bouquet of flowers with roses and lilies. Each rose, r, cost 1.75 and each lily, l, cost 2.25. What does the expression 1.75r + 2.25l represent?

2.1 Making Sense of Expressions Example 1: Curtis is buying supplies for his school. He buys p packages of crayons fro $1.49 per package and q packages of markers of $3.49 per package. What does the expression 1.49p + 3.49q represent? What does the term 1.49p represent? What does the term 3.49q represent?

Example 2: Jill buys ink jet paper and laser jet paper for her business. She buys 8 more packages of ink jet paper than p packages of laser jet paper. Ink jet paper costs $6.95 per package and laser jet paper costs $8 per package. What does the expression 8p + 6.95(8 + p) represent? What does 8p represent? What does 8 + p represent? What does the term 6.95(8 + p) represent?

Your turn 1 .George is buying watermelons and pineapples to make fruit salad. He buys w watermelons at $4.49 each and p pineapples at $5 each. What does the expression 4.49w + 5p represent? 2. Sandi buys 5 fewer packages of pencils than p packages of pens. Pencils costs $2.25 per package and pens costs $3 per package. What does the expression 3p + 2.25(p - 5) represent? If you finish these problems, begin working on p. 49 from the packet, #1-13 odd.

Modeling Expressions in Context

Working with Percentages How do we convert from percentages to decimals, and decimals to percentages? Percentages always need to be multiplied with something. To convert from percentage to decimals, move the decimal point left two units. ex: 75% → 0.75 You try: 12.5% b) 0.037% c) 113% d) 7%

Converting to Percents To convert from decimals to percents, move the decimal point right two units. ex: 0.12 →12% You try: 1.3 b) 0.1 c) 0.72 d) 12.07

Modeling Expressions in Context Write an algebraic expression to model the given context. Ex 3: The price of an item plus 6% sales tax. Ex 4: The price of a car plu 8.5% sales tax. Your turn: 3. Show why p + .25p = 1.25p

Your Turn Write an algebraic expression to model the given context. 4. The number of gallons of water in a tank, that already has 300 gallons in it, after being filled at 35 gallons per minute for m minutes. 5. The original price p of an item less a discount of 15%. When you finish, continue working on your homework. HW part 1: 2.1 p. 49 #1-27 odd, skip #15, 17, 19. Due next class.

2.2 Creating and Solving Equations Aaron and Alice are bowling. Alice’s score is twice the difference of Aaron’s score and 5. The sum of their scores is 320. Find each student’s bowling score. Write a verbal description of the basic situation. 2. Choose a variable for the unknown quantity and write an equation to model the detailed situation. 3. Set up the equation and solve. 4. Check your work.

Mari, Carlos, and Amanda collect stamps Mari, Carlos, and Amanda collect stamps. Carlos has five more stamps than Mari, and Amanda has three times as many stamps as Carlos. Altogether, they have 100 stamps. Find the number of stamps each person has.

Your Turn Write and solve an equation to solve the problem. A rectangular garden is fenced on all sides with 256 feet of fencing. The garden is 8 feet longer than it is wide. Find the length and width of the garden. When you finish, start your homework, p. 62 #2-20 even

Creating and Solving Equations with Variables on Both Sides Janine has job offers at two companies. One company offers a starting salary of $28,000 with a raise of $3000 each year. The other company offers a starting salary of $36,000 with a raise of $2000 each year. In how many years would Janine’s salary be the same with both companies? What will the salary be?

One moving company charges $800 plus $16 per hour One moving company charges $800 plus $16 per hour. Another moving company charges $720 plus $21 per hour. At what number of hours will the charge by both companies be the same? What is the charge?

Your Turn When you finish, continue working on your homework, p. 62 #2-20 even

Constructing Equations from an Organized Table Kim works 4 hours more each day than Jill does, and Jack works 2 hours less each day than Jill does. Over 2 days, the number of hours Kim works is equal to the difference of 4 times the number of hours Jack works and the number of hours Jill works. How many hours does each person work each day?

Your Turn Lisa is 10 centimeters taller than her friend Ian. Ian is 14 centimeters taller than Jim. Every month, their heights increase by 2 centimeters. In 7 months, the sum of Ian’s and Jim’s heights will be 170 centimeters more than Lisa’s height. How tall is Ian now?