Ruben and Sarah are comparing the international calling plans on their cell phones. On his plan, Ruben pays $3 just to place a call and $3 for each mi...
Name: ____________________________________________________ Date: _______________ Period: _____________ Algebra 1 – Solving Systems of Linear Equations by Graphing Solve the following systems of equations by graphing. 1.
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Movies Are Us has two video rental plans. The Regular video rental plan charges $3 for each video rental. The Preferred video rental plan has an $9 membership fee and charges $2 for each video rental. How many video rentals give the two plans the same cost? What is the equal cost?
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5. Trent is going to the water slides and needs to figure out which deal is better. He can pay$30 to go on the water slides as much as he wants, or he can pay $15 to get in, plus an additional $3 per trip down the water slides. If Trent goes on a certain number of trips down the water slides, the two options are equivalent in terms of cost. What is the cost? How many trips does it take for the two to be equivalent?
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8. You sell small and large candles at a craft fair. You collect $144 selling a total of 28 candles. How many of each type of candle did you sell? (Large candles are $6 and small candles are $4)
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11. Cora and Ruth, both teachers, are adding books to their class libraries. Cora's classroom started out with a collection of only 4 books, but she plans to purchase an additional 3 books per week. Ruth's library started out with 8 books, and she has enough money in her budget to purchase another 1 book per week. At some point, the two teachers' libraries will contain the same number of books. How many weeks will that take? How many books will they both have?
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13. Ruben and Sarah are comparing the international calling plans on their cell phones. On his plan, Ruben pays $3 just to place a call and $3 for each minute. When Sarah makes an international call, she pays $1 to place the call and $4 for each minute. A call of a certain duration would cost exactly the same under both plans. What is the duration? How much would it cost?
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16. Dominos charges $7 for a cheese pizza and $1.75 for each topping. Pizza hut charges $11 for a cheese pizza and $1.25 per topping. At what number of topping would Pizza Hut have the better price? At what how many toppings do the two restaurants have the same price? What is that price?
