Solving Systems
Solve the following : y=-x+5 y=-2x+3
(-2,7)
Solve the following system using Substitution x=6-4y 2x-3y=1
(2,1)
Sara goes to Fredonia University. She has $900 in her savings account. She needs to buy a small laptop computer before the next semester. The laptop costs $600. Every 2 weeks she withdraws $60 from her savings account for food. How many times can Sara withdraw money for food? Write an inequality to explain.
900 - 60w < 900
Pet Supplies makes a profit of $5.50 per bag on its line of natural dog food. If the store wants to make a profit of no less than $5225, how many bags of dog food does it need to sell?
5225 <5.50b
Solve the following : y=3x-5 -7x+y=-5
(0,-5)
You want to rent a limousine for a trip to the city. The limo costs $700 for the night and $0.15 per mile. You have $750 to spend. Write an inequality that represents this scenario. How many miles can the limo travel?
700 + .15x <= $750
The cost of a gallon of orange juice is $3.50. What are the maximum gallons of orange juice you can buy for $15?
3.50g<15
Solve the following system : 2y+4x=12 2x-y=-10
(-1,8)
Jessica is getting ready for college she needs to have an overall grade of 85 in her Math class to qualify for the college that she wished to attend. Her math grade is based solely on her scores on 6 exams. On the first 5 exams her scores were 87, 81, 85, 90, 78. Write an inequality that represents her predicament.
What does score does she need to get on her last test to qualify?
85 < (421+x)/6
Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?
500-25w<200
Solve the following system : 4x+2y=6 3x-3y=9
(2,-1)
Ryan is a wrestler. He currently weighs 200lbs. If he cuts down 2 lbs per week how long will it take him to weigh less than 170 lbs?
170<200-2w
Chris wants to order DVD's over the internet. Each DVD costs $15.99 and shipping the entire order costs $9.99. If he can spend no more than $100, how many DVD's could he buy?
15.99d+9.99<100
Solve the following system : y=4x+4 2y=-3x-14
(-2,-4)
Keith has $25. A song Mp3 download costs $0.75. How many songs can he download and still have $13
left to spend?
25-0.75s<13
Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison has already practiced 3 hours this week, how many more sessions remain for her to meet or exceed her weekly practice goal?
12<3/4s+3