Algebra 2 Word Problems.

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Presentation transcript:

Algebra 2 Word Problems

How many days should you spend in each? 1. Your family is planning a seven day vacation. You estimate the cost of Virginia to be $200 per day. The cost of Tennessee is $250 per day. Your total budget for the 7 days is $1500. Set up a system representing the number of days you can spend in each city. You will use all the money and go to both cities. How many days should you spend in each?

Hints when solving word problems 1. Read the entire problem first. 2. Ask yourself, “what are the variables that we are trying to solve for and what do they represent?”. 3. What is the total cost and what does it represent/how is it created (from the cost of each item)? 4. Is there a certain number of each item that is sold? Add the variables to create the total.

5. Is there a relationship given between the variables 5. Is there a relationship given between the variables? Set up the equations. Get the variables on the left and constant on the right. 6. Use inverse matrices, elimination, substitution, or graphing to solve the equations. 7. Check your solution. Does your solution make sense in the problem?

How many days should you spend in each? 2. Your family is planning a seven day vacation. You estimate the cost of Virginia to be $200 per day. The cost of Tennessee is $250 per day. Your total budget for the 7 days is $1500. Set up a system representing the number of days you can spend in each city. You will use all the money and go to both cities. How many days should you spend in each?

Create a system with 3 variables. Use matrices to solve.