Math 1 December 10

Math 1 December 10

Systems of Equations Algebraically

Fill in the Blank

Without graphing what is the point of intersection for the following system of equations? Write the points as (x,y)

 $y=7x+4$  
 $y=9x-6$  

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Without graphing what is the point of intersection for the following system of equations? Write the points as (x,y)

 $y=22x+4$  
 $y=14x+36$  

Fill in the Blank

Without graphing what is the point of intersection for the following system of equations? Write the points as (x,y)

 $y=-x+16$  
 $y=-7x-8$  

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Without graphing what is the point of intersection for the following system of equations? Write the points as (x,y)

 $y=4x+6$  
 $y=2x+2$  

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Without graphing what is the point of intersection for the following system of equations? Write the points as (x,y)

 $y=-5x+8$  
 $y=-2x-7$  

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Without graphing what is the point of intersection for the following system of equations? Write the points as (x,y)

 $y=22x+4$  
 $y=14x+28$  

Phil & Bill

Bill weighs 120 pounds and is gaining ten pounds each month. Phil weighs 150 pounds and is gaining 4 pounds each month. How many months will it take for Bill to weigh the same as Phil? 

Cingular vs. Verizon

Tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingular’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes will it take for the two plans to cost the same? 

iTunes vs. Napster

The cost to purchase a song from iTunes is $0.99 per song. To purchase a song from Napster, you must be a member. The Napster membership fee is $10. In addition, each purchased song costs $0.89. How many downloaded songs must be purchased for the monthly price of Napster to be the same as iTunes? 

Fill in the Blank

Suppose a video store charges nonmembers $4 to rent each video. A store membership costs $21 and members pay only $2.50 to rent each video. For what number of videos is the cost the same?

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Suppose your club is selling candles to raise money. It costs $100 to rent a booth from which to sell the candles. If the candles cost your club $1 each and are sold for $5 each, how many candles must be sold to equal your expenses?

Fill in the Blank

Deborah has two paintings in her portfolio and paints three more each week. Kai has twelve paintings in her portfolio and paints two more each week. After how many weeks will Deborah and Kai have the same number of paintings?

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Trey’s online music club charges a monthly rate of $20 plus $0.80 per song download. Deb’s online music club charges a monthly rate of $21 plus $0.60 per song download. For what number of songs will the monthly charge be the same for both clubs?