Jeopardy
Solve
Systems 1
Solve
Systems 2
Special Types
of Systems
Systems of
Inequalities
Extensions
100
100
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100
100
200
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300
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400
400
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500
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100
Solve the linear system by
graphing:
6x – 3y = 36
5x = 3y + 30
200
One 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?
400
You 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?
500
The area of the room shown is 224 square
feet. The perimeter of the room is 64 feet
Find x and y.
100
Solve the linear system:
y – 3 = –2x
2x + 3y = 13
200
A 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.
300
You 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.
400
A 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.
500
A 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.
100
Without solving the linear system, tell
whether the linear system has one solution,
no solution, or infinitely many solutions.
4y =12x –1
–12x + 3y = –1
200
Without 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
400
Without solving the linear system, tell whether
the linear system has one solution, no
solution, or infinitely many solutions.
3y + 5x = 1
–5x –3y = 1
500
Without solving the linear system, tell
whether the linear system has one solution,
no solution, or infinitely many solutions.
–3x + 4y = 24
4x + 3y = 2
100
Graph the system of
inequalities.
x≥0
y≥0
2x + y < 3
200
Graph the system of
inequalities.
x>4
x<8
y ≥ 2x + 1
300
Write a system of inequalities for the
shaded region.
400
Write a system of inequalities for the
shaded region.
500
The 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?
100
Solve the following system
using Cramer’s Rule.
9x – 4y = –55
3x = –4y – 21
200
Write a system of
inequalities formed
by the vertices:
(2, 2), (-2, 4)
and (-1, -3)
300
Solve the following system
using Cramer’s Rule.
x–y=0
2x + 4y = 18
400
Write a system of
inequalities formed
by the vertices:
(-1, 1), (2, 2), (3, -2)
and (-4, -3)
500
Solve the following system
using Cramer’s Rule.
y = –2x + 4
5y – 2x = –16