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Linear Systems
ALGEBRA IIJeopardy
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Inequalities
Elimination
Substitution
GraphingClassifying
Categories
The word used to classify this linear system:
x + y = 3
y = 2x - 3
Classifying 100 Points
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Classifying 100 Points
What is Independent?
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Classifying 200 Points
This word is used to classify this
linear system:
2x + y = 3
y = -2x - 1
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What is inconsistent?
Classifying 200 Points
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Classifying 300 Points
This word is used to describe this
linear system:
x + 3y = 9
-2x - 6y = -18
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Classifying 300 Points
What is dependent?
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This is the name given to a linear
system with no solutions.
Classifying 400 Points
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What is inconsistent?
Classifying 400 Points
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This is the number of solutions a
dependent system has.
Classifying 500 Points
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What is dependent?
Classifying 500 Points
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This is the solution to the system
y = x - 2
x + y = 10
which can be found by graphing.
Graphing 100 Points
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Graphing 100 Points
What is (6, 4)?
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Graphing 200 Points
This is the solution to the system
y = 7 - x
x + 3y = 11
which can be found by graphing.
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What is (5,2)?
Graphing 200 Points
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Graphing 300 Points
This is the solution to the system
y = 2/3x - 5
y = -2/3x - 3
(found by graphing)
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Graphing 300 Points
What is (1.5, -4)?
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This is the solution to the system
4x + 3y = -16
-x + y = 4
(found by graphing).
Graphing 400 Points
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What is (-4,0)?
Graphing 400 Points
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This is the solution to the system
x - y = -1
2x + 2y = 10
(found by graphing).
Graphing 500 Points
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What is (2,3)?
Graphing 500 Points
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This solution can be found by using
substitution to solve this system:
y = x + 1
2x + y = 7
Substitution 100 Points
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Substitution 100 Points
What is (2,3)?
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Substitution 200 Points
This would be a convenient
substitution to make in solving this
system:
x = y - 2
3x - y = 6
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What is “y - 2”?
Substitution 200 Points
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Substitution 300 Points
This solution can be found by using
substitution to solve this system:
2y - 3x = 4
x = -4
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Substitution 300 Points
What is (-4,-4)?
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Suppose your drama club is planning a production that will cost $525 for the set and $150 per performance. A sold-out performance will bring in $325. Equations to model the cost C and the income I for p sold-out performances will find this number of performances that are needed to make the cost equal to the income.
Substitution 400 Points
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Equations: C = 525 + 150p; I = 325p
(Set them equal: 525 + 150p = 325p)
What is 3 performances?
Substitution 400 Points
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A group of 60 people attend a ball game. There were twice as many children as adults in the group. This is the number of children that were in the group (set up a system of equations and use substitution to solve).
Substitution 500 Points
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Equations: a + c = 60 ; c = 2a
Substitute 2a in for c and solve.
What is 40 children?
Substitution 500 Points
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This is the number you would use to
prepare the system for elimination:
3x + 4y = -1
x - 2y = 7
Elimination 100 Points
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Elimination100 Points
What is -3?
Or
What is 2?
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Elimination 200 Points
If you used elimination to solve the system
x + y = 10
x - y = 2
you would get this solution.
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What is (6,4)?
Elimination 200 Points
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Elimination 300 Points
If you used elimination to solve the system
x + 2y = 10
3x - y = 9
you would get this solution.
Categories
Elimination300 Points
What is (4,3)?
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Suppose you bought eight oranges and one grapefruit for a total of $4.60. Later that
day, you bought six oranges and three grapefruits for a total of $4.80. This is the price of each orange and each grapefruit.
(Must write and solve a system of equations using elimination.)
Elimination 400 Points
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8r + 1g = 4.60
6r + 3g = 4.80
What are oranges for $0.50 and
grapefruits $0.60?
Elimination400 Points
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Jen has $13,000 to invest in stocks and bonds. Stocks can earn 12% annually and bonds can earn 9%. This is how much should be invested in each to
earn an annual return of $1395.
Elimination500 Points
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s + b = 13,000
.12s + .09b = 1395
What is $7500 in stocks and $5500 in
bonds?
Elimination 500 Points
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This graph shows the solutions to
y > x + 2
y < -x + 1
Inequalities 100 Points
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Inequalities100 Points
QuickTime™ and aPNG decompressor
are needed to see this picture.
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Inequalities 200 Points
This graph shows the solutions to
y < x + 3
y > -3x + 2
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Inequalities 200 Points
QuickTime™ and aPNG decompressor
are needed to see this picture.
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Inequalities300 Points
This graph shows solutions to
x + y < 5
y < 3x - 2
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Inequalities300 Points
QuickTime™ and aPNG decompressor
are needed to see this picture.
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Suppose you are buying two kinds of notebooks
for school. A spiral notebook costs $2 and a
three-ring notebook costs $5. You must have at
least six notebooks. The cost of the notebooks
can be no more $20. This is the system that
models the situation.
Inequalities 400 Points
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Let s be spiral notebooks; Let t be three-rings
What is 2s + 5t < 20 and s + t > 6?
Inequalities 400 Points
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A camp counselor needs no more than 30
campers to sign up for two mountain hikes. The
counselor needs at least 10 campers on the low
trail and at least 5 campers on the high trail. This
is the graph that shows all possible combinations
of campers.
Inequalities 500 Points
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x + y < 30
x > 10
y > 5
Inequalities 500 Points
QuickTime™ and aPNG decompressor
are needed to see this picture.
