ID'ing Word Problems
Elimination
Graphing
Inequalities
100
The sum of two numbers is 130. The difference of the two numbers is -32. Is this an elimination or graphing system of equations?
What is an elimination system of equations?
100
A concession stand sells 3 hot dogs and 4 hamburgers for $22.00. The concession stand sells 2 hot dogs and 5 hamburgers for $24.00 how much is each hamburger?
What is $4.00?
100
San Antonio has two competitive towing companies. San Antonio's Best charges $3.00 per mile and a $20.00 fixed cost. InCARedible Towing Company charges no fixed cost, but $5.00 per mile. After how many miles will the cost be the same?
What is 10 miles?
100
Select all true statements about the graph of
-2y>-3x+4
A. The boundary line is solid.
B. The slope of the line is 3/2.
C. The origin is a solution.
D. The point (0,-4) is a solution.
E. The point (1,-2) is a viable solution.
B, D, E
200
Johnny's family is going to Sea World. Adult tickets cost $60 and child tickets cost $45. He purchases 5 tickets for $255. Is this an elimination or graphing system of equations?
What is an elimination system of equations?
200
On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price of one senior citizen ticket and one student ticket?
What is senior tickets are $8 and student tickets are $14?
200
Scooby and Shaggy are having an eating contest. Scooby has already eaten 4 hot dogs and eats 2 hot dogs per minute. Shaggy has only eaten 2 hot dogs but eats 3 hot dogs per minute, how long will it take for them to eat the same amount of hot dogs?
What is 2 minutes?
200
Write the systems for the graph.
y<-0.5x+4 and y>=3x-1
300
Uber charges an initial fee of $2 and $2 per additional mile. Lyft charges an initial fee of $5 and $1 per additional mile. Is this an elimination or graphing system of equations?
What is a graphing system of equations?
300
The sum of two numbers is 11. The difference of the two numbers is -23, what are the two numbers?
What is -6 and 17?
300
A baseball concession stand sells Peanuts and Cracker Jacks. If during one baseball game they sold 4 more Peanuts than Cracker Jacks and on a second day they sold 3 more Peanuts than twice the number of Cracker Jacks, how many Peanuts and Cracker Jacks were sold each day?
What is 1 Cracker Jacks and 5 Peanuts?
300
Write a system for the problem below.
Molly earns $15 an hour dog-sitting and $10 per hour bagging groceries at Food City. She wants to save $500 for her trip to DC but her parents will only let her work 12 hours per week.
Use x to represent the number of hours she spends dog-sitting and y to represent the number of hours she works at Food City.
x+y<=12 and 15x+10y>=500
400
A phone company charges a 56 dollar start-up fee plus 12 dollars per line. Another company charges a 20 dollar start-up fee and 24 dollars per line. Is this an elimination or graphing system of equations?
What is a graphing system of equations?
400
A park charges $10 for adults and $5 for kids. How many adults tickets and kids tickets were sold, if a total of 548 tickets were sold for a total of $3750?
What is 202 adult tickets and 346 children's tickets?
400
A company buys toy car parts per month according to the equation: y=20x+100
They sell the toy cars per month according to the equation: y=25x
How long will it take for the company to break even?
What is 20 months?
400
The following graph shows Elijah's earnings in mowing lawns and painting houses. The equations used to graph the system are
20x+40y>=500 and x+y<=25
Describe the x- and y-intercepts and their context in the graph.
(0,25) means if he spent all 25 hours painting he would have earned $1000 (25*40=1000)
(0, 12.5) means if he spent just 12.5 hours painting he would have earned $500.
(25,0) means if he spent all 25 hours mowing lawns he would make $500.