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JeopardySolve
Systems 1Solve
Systems 2
Special Types of Systems
Systems of Inequalities
Extensions
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200 200 200 200 200
300 300 300 300 300
400 400 400 400 400
500 500 500 500 500
200One day, you are rollerblading on a trail while it is windy. You travel along the trail, turn around and come back to your starting point. On your way out on the trail, you are
rollerblading against the wind. On your return trip, which is the same distance, you are rollerblading with the wind. You can only travel 3 miles an hour against the wind, which is blowing at a constant speed. You travel 8 miles an hour
with the wind. Write and solve a system of equations to find the average speed when there is no wind and the speed of
the wind.
300
A drummer is stocking up on drum sticks and brushes. The wood sticks
that he buys are $10.50 a pair and the brushes are $24 a pair. He ends up spending $90 on sticks and brushes and buys two times as many pairs of sticks as brushes. How many pairs of
sticks and brushes did he buy?
400You bought 15 one-gallon bottles of apple juice and orange
juice for a school dance. The apple juice was on sale for $1.50 per gallon bottle. The orange juice was $2 per
gallon bottle. You spent $26. Write a system of equation and then graph it. How many bottles of each type of juice
did you buy?
500The area of the room shown is 224 square feet. The perimeter of the room is 64 feet
Find x and y.
200A fishing barge leaves from a dock and moves upstream (against the current) at a rate of 3.8
miles per hour until it reaches its destination. After the people on the barge are done fishing, the
barge moves the same distance downstream (with the current) at a rate of 8 miles per hour until it returns to the dock. The speed of the current
remains constant. Write and solve a system of equations to find the average speed of the barge in
still water and the speed of the current.
300You will be making hanging flower baskets.
The plants you have picked out are blooming annuals and non-blooming
annuals. The blooming annuals cost $3.20 each and the non-blooming annuals cost
$1.50 each. You bought a total of 24 plants for $49.60. Write a linear system of
equations that you can use to find how many of each type of plant you bought.
400A total of $45,000 is invested into two funds
paying 5.5% and 6.5% annual interest. The combined annual interest is $2725. How much of the $45,000 is invested in
each type of fund? Write and solve a system of equations.
500A rectangular hole 3 centimeters wide and x centimeters
long is cut in a rectangular sheet of metal that is 4 centimeters wide and y centimeters long. The length of
the hole is 1 centimeter less than the length of the metal sheet. After the hole is cut, the area of the
remaining metal sheet is 20 square centimeters. Find the length of the hole and the length of the metal
sheet.
100Without solving the linear system, tell
whether the linear system has one solution, no solution, or infinitely many solutions.
4y =12x –1
–12x + 3y = –1
200Without solving the linear system, tell whether the linear system has one solution, no solution,
or infinitely many solutions.
–2x + 3y = 4
3x – 2y = 5
300 Without solving the linear system, tell
whether the linear system has one solution, no solution, or infinitely many
solutions.
5y –4x = 3
10y = 8x + 6
400Without solving the linear system, tell whether the linear system has one solution, no solution,
or infinitely many solutions.
3y + 5x = 1
–5x –3y = 1
500Without solving the linear system, tell
whether the linear system has one solution, no solution, or infinitely many solutions.
–3x + 4y = 24
4x + 3y = 2
500The tickets for a school play cost $8 for adults and $5 for students. The auditorium in which the play is
being held can hold at most 525 people. The organizers of the school play must make at least $3000 to cover the costs of the set construction,
costumes, and programs.a. Write a system of linear inequalities for the
number of each type of ticket sold.b. Graph the system of inequalities.
c. If the organizers sell out and sell twice as many student tickets as adult tickets, can they reach
their goal?