You can buy CDs at a local store for $15.49 each. You can buy them at an online store for $13.99 each plus $6 for shipping. Solve a system of equations to find the number of CDs that you can buy for the same amount at the two stores.
What is 4 CD's?
200
Use graphing: -x + 2 and 3x + 3y = 12
What is No solution?
200
Use substitution: -10y + 10x = 120 and x = 3y - 8
What is (22, 10)?
200
Use elimination: 3x + 6y = -6 and -5x - 2y = -14
What is (4, -3)?
200
Suppose you have signed up for a bike-a-thon to raise money for charity. One person is sponsoring you at a rate of $0.50 per mile. A second sponsor plans to donate $15 no matter how far you bike. Solve a system of equations to find out how many miles will all the sponsors donate the same amount.
What is $15 donation at 30 miles?
d = 15 and m = 30 miles
300
Use graphing: y = 2 and y = 3x + 2
What is (0, 2)?
300
Use substitution: 4x + 3y = 4 and 2x - y = 7
What is (2.5, -2)?
300
Use elimination: 3x + 5y = 10 and 5x + 7y = 10
What is (-5, 5)?
300
At an ice cream parlor, ice cream costs $1.10 and sundaes costs $2.35. One day, the receipts for a total of 172 cones and sundaes were $294.20. Find how many cones and sundaes you sold for the day.
What is 88 cones and 84 sundaes?
400
Use graphing: 2x + y = 0 and y = 2x - 4
What is (1, -2)?
400
Use substitution: 2x + y = 6 and -x - 3/2y = -8
What is (0.5, 5) or (1/2, 5)?
400
Use elimination: 3m + 4n = -13 and 5m + 6n = -19
What is (1, -4)?
400
A communications company offers a variety of calling card options. Card A has a $0.30 connection fee and then costs $0.02 per minute. Card B has a $0.10 connection fee and then costs $0.06 per minute. How many minutes would you have to talk for the two cards to be equal? What would the cost be?
What is (5 mins, $0.40)
500
Use graphing: x = 3 and y = -1
What is (3, -1)?
500
Use substitution: x = y + 2 and x - y = 10
What is No solution?
500
Use elimination: 4x - 7y = -15 and 4x - 7y = -15
What is Infinitely Many Solutions?
500
You have a total of 25 coins, all nickels and quarters. The total value is $3.85. How many nickels and quarters do you have?