# 6 logan is building a game room adjacent to his

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6. Logan is building a game room adjacent to his living room so that both rooms will have the same width. He created a model on a piece of paper, shown below. Part A: Write an expression for the total area of both rooms by using the distributive property.Part B: If the length of the game room is 15 feet, what is the total square footage of the two rooms?7.The state of Maine encourages recycling by giving refunds for certain recycled items. When you recycle a glass bottle, you get back Ãº¾º·when you recycle an aluminum can, you get back Ãº¾µº, and when you recycle a plastic bottle, you get back Ãº¾µ·Part A: Drinks in a glass bottle cost Ã±¾ºº, drinks in an aluminum can costÃº¾·º, and drinks in a plastic bottle cost Ãµ¾·º. You plan to purchase two of each. Use the distributive property to write an expression that represents the amount of money you will spend. Part B: You plan to recycle all of the items you purchased. Use the distributive property to write an expression to represent the amountof refund you will receive.Part C:After receiving the refund, how much was your net cost for the items? Hint: Net cost is equal to the total cost minus the amount of your refund. , .
16Practice Book - Section 1: Expressions 8. Suppose you are building a rectangular pen for your goats. You use ³ººfeet of fencing for the pen. Let Ärepresent the pen’s length (in feet). Part A: Which of the following expressions could represent the width of the pen? ±±Ä 0 ³ºº²³ºº 1 ±Ä³±Ä 1 ³ºº´³ºº:±Ä;Part B: Find the width of the pen if you make the pen ¹ºfeet long.Part C:Find the width and the area of the pen if the length is´ºfeet.1.Write an equivalent expression for :& 1 ¶;:& 1 »;by using the distributive property and by modeling. 2.Write an equivalent expression for :±Å 0 »;:Å 1 µ;¾Section 1 – Topic 9 Operations with Polynomials – Part 2
17Practice Book - Section 1: Expressions 3. Write an equivalent expression in standard form for ሺͷݔ െ Ͷݕሻሺ͹ݔെ ͳʹݔ ൅ ʹ͹ሻ. 4.Write an equivalent expression in standard form for ሺ͸ݖ െ ͵ሻሺͺݖ ൅ ͻሻ െ ͳ͵ሺͶͷ െ ͹ݖ െ ݖ. 5.Write an equivalent expression for ሺ͵݉ െ ͸ሻሺͺ݉െ ͶͲ݉ െ ͷሻǤ6.Carlos is building a game room adjacent to his living room so that both rooms will have the same width. He created the model shown below. Part A:Write an expression for the total area of both rooms. Part B:If the length of the game room is 12 feet, what is the total square footage of the two rooms?
18Practice Book - Section 2: Equations and Inequalities18Section 2: Equations and Inequalities Student Learning Plan *Honors resources are available online. What did you learn in this section? What questions do you still have? Who was your favorite Study Expert for this section? Why? Topic Number Topic Name Date Completed Study Expert(s) Check Your Understanding Score 1 Equations: True or False?