# Jeopardy by liuhongmei

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```									           Jeopardy
Solve By    Solve by       Solve by      Solve by        Extensions
Graphing   Substitution   Elimination   Multiply First

100          100           100            100             100
200          200           200            200             200
300          300           300            300             300
400          400           400            400             400
500          500           500            500             500
100
Solve the linear system by
graphing:
-5x + 8y = -22
3y – 2x = -9
200
Solve the linear system by
graphing:
-5x + 8y = -22
3y – 2x = -9
300
Solve the linear system by
graphing:
3x – 7y = 50
-4x + 2y = -30
400
Solve the linear system by
graphing:
⅔x - ⅓y = -11/3
x + ½y = -½
500
With a minimum purchase of \$100, you
can open a credit account at a music
store. The store is offering either \$25 or
20% off your purchase if you open a
credit account. You make a purchase of
\$135 and decide to open a credit
account. Should you choose \$25 or
20% off your purchase? Write a system
of equations and graph them to solve.
100
Solve the linear system by
substitution:
13x – 4y = 38
x – 6y = -54
200
Solve the linear system by
substitution:
10x – 20y = 0
x + 5y = -28
300
Solve the linear system by
substitution:
3.5x + 0.5y = 14
y–x=4
400
During the spring and summer, you do a
spring yard cleanup for households
and you also paint houses. You earn
\$8 an hour doing the cleanups and
\$12 an hour painting. Last spring and
summer you worked a total of 400
hours and earned \$3800. How many
hours did you spend doing yard
cleanups and painting?
500
You are creating a potting mix for your
window boxes that is 20% peat moss and
80% potting soil. You add 100% potting soil
to your mix that is currently 50% peat moss
and 50% potting soil. You have 4 buckets
of the mix that is half and half. Do you have
enough of the half and half to make 8
buckets of the mix that is 20% peat moss
and 80% potting soil? Explain.
100
Solve the linear system by
elimination:
4x – y = –21
– 4x+7y = 51
200
Solve the linear system by
elimination:
-2x + 5y = 14
8x + 5y = 94
300
Solve the linear system
by elimination:
2y – 3x = 10
7x = -2y – 50
400
Solve the linear system by
elimination:
9x = 235 – 5y
5y – 10x = -50
500
A car rental company charges a daily rental fee plus a
per mile fee over 150 miles. Two different people rent the
same style of car for the same number of days. The total
bill for one person’s rental is \$207.50 for a 5-day rental
and 180 miles. The total bill for the other person’s rental
is \$212.50 for a 5-day rental and 200 miles.
a. Write a linear system that you can use to ﬁnd the
daily rental fee and the per mile fee over 150 miles.
Explain how you got your linear system.
b. What is the daily rental fee? What is the fee per mile
over 150 miles?
100
Solve the linear system by
elimination:
6x – 11y = -93
15x + 13y = 132
200
Solve the linear system by
elimination:
-15x + 4y = -2
13x – 10y = -44
300
Solve the linear system by
elimination:
9x – 8y = -3
14x – 12y = -6
400
Two families go skiing on a Saturday. One family
purchases two adult lift tickets and four youth lift tickets for
\$166. Another family purchases four adult lift tickets and
five youth lift tickets for \$263. Let x represent the cost in
dollars of one adult lift ticket and let y represent the cost in
dollars of one youth lift ticket.
a.Write a linear system that represents this situation.
b.Solve the linear system to find the cost of one adult and
one youth lift ticket.
c.How much would it cost two adults and five youths to ski
for a day?
500
A group of your friends goes to a
restaurant that features different Asian
foods. There are eight people in your
group. Some of the group order the
Thai special for \$14.25 and the rest of
the group order the Szechwan special
for \$13.95. If the total bill was \$113.10,
how many people ordered each
dinner?
100
Is the solution empty, a point,
a line, or a plane?
200
Is the solution empty, a point,
a line, or a plane?
300
Define:
Consistent
Inconsistent
Independent
Dependent
400
Name the type of System
500
Solve the following system
using Cramer’s Rule.

2x + 2y = -6
-5x + y = 15

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