500 100 200 300 100 300 200 300 200 100 200 500 300 100 400 graphing inequalities ch7: find the...
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Graphing Inequalitie
s
Ch7: find the solution
Systems word
problems
Is it a solution?
Ch7:
How many solutions?
200
Solve the linear system using substitution:
x + 2y = -25y = -3x
Ch7 find solutions $100
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(5,-15)
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Ch7 find solutions $100
Ch7 find solutions $200
Solve the linear system using the substitution method:
x - y = 14-x - 2y = -5
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(11, -3)
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Ch7 find solutions $200
Solve the linear system using the elimination method:
3x – 2y = 232x = -2y +7
Ch7 find solutions $300
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(6, -2.5)
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Ch7 find solutions $300
Ch7 find solutions $400
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What system of equations does
this graph represent?
And what is the solution?
y = -x +4y= x +2
And(1,3)
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Ch7 find solutions $400
Ch7 find solutions $500
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Solve the linear system by the elimination
method:3x + 2y = 11-4x = -6y -6
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Ch7 find solutions $500
(3,1)
Ch7: How many solutions for $100
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How many solutions to the linear system?
2x + 10y = 134x + 20y = 26
Infinitely Many
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Ch7: How many solutions for $100
How many solutions to the linear system?
2x + 10y = 13
x + 5y = 6
Ch7: How many solutions for $200
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None.
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Ch7: How many solutions for $200
Ch7: How many solutions for $300
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How many solutions to the linear system?
One solution
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Ch7: How many solutions for $300
Ch7: How many solutions for $400
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How many solutions to the linear system?
5x + 3y = -224x – 5y = 12
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Ch7: How many solutions for $400
One solution
Ch7: How many solutions for $500
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How many solutions to the linear system?
x + 2y = -22
y= 4
One solution
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Ch7: How many solutions for $500
Ch7: Is it a solution? for $100
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Is (1,0) a solution to the system of equations?
4x -y = 43x +y = 3Explain.
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Ch7: Is it a solution? for $100
Yes. It is a solution to both equations.
Ch7: Is it a solution? for $200
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Is (-2,-2) a solution to the system of equations?
3x = -6-5y = 10Explain.
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Ch7: Is it a solution? for $200
Yes. It is a solution to both
equations.
Ch7: Is it a solution? for $300
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Is (2, -4) a solution to the system of equations?y = -5x +6
y = 2Explain.
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Ch7: Is it a solution? for $300
No. It is a solution to the first equation
but not the second.
Ch7: Is it a solution? for $400
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Is (-3,5) a solution to the system of
equations?x - 2y = -13
x = -3Explain.
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Ch7: Is it a solution? for $400
Yes. It is a solution to both
equations.
Ch7: Is it a solution? for $500
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Is (2,3) a solution to the system of
equations?3x + 2y = 12
x = 4y – 5Explain.
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Ch7: Is it a solution? for $500
No. It is a solution to the first equation
but not the second.
Systems word problems for $100
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You are selling cookies in order to fundraise for the Washington DC trip. Big boxes sell for $10 and
small boxes sell for $6. You sell 60 boxes and earn $400. How many boxes of each type did you sell?
The Question:What are your variables? (There will be no flexibility in answers… be thorough)
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Systems word problems for $100
Number of big boxes soldAnd
Number of small boxes sold
Systems word problems for $200
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You are planning a bowling party for your mom’s birthday. You can have your party at
the Bowl’O’Rama for $5 per person plus $100 for renting out the bowling alley or at
We‘R’Bowling for $7 per person plus $60 for renting out the bowling alley . How many
people would you to attend the party for the cost to be the same for both places?
The Question:What are your variables?
(There will be no flexibility in answers… be thorough)
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Systems word problems for $200
Number of people attendingAnd
Total cost
Systems word problems for $300
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Solve: You are selling cookies in order to fundraise for the Washington DC trip.
Big boxes sell for $10 and small boxes sell for $6. You sell 60 boxes and earn $400. How many boxes of each type did you
sell?
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Systems word problems for $300
10 big boxes and
50 small boxes
Systems word problems for $400
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Solve: You are planning a bowling party for your mom’s birthday. You can have your party
at the Bowl’O’Rama for $5 per person plus $100 for renting out the bowling alley or at
We‘R’Bowling for $7 per person plus $60 for renting out the bowling alley . How many
people would need to attend the party for the cost to be the same for both places?
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Systems word problems for $400
The cost would be the same if 20 people attended.
Systems word problems for $500
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A chemist needs 12 liters of a 40% alcohol solution. The chemist has a solution that is 10% alcohol. How
many liters of the 10% alcohol solution and pure alcohol should the chemist mix to make 12 liters of a
40% alcohol solution?
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Systems word problems for $500
4 liters of pure alcohol and
8 liters of the 10% solution
Graphing inequalities for $100
Use graph #1
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a.x> -3 , x < 7b.x< -3, x>7
c. x> -3 , x < 7d.x< -3, x>7
C
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Graphing inequalities for $100
Graphing inequalities for $200
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a.x+y< 2 , 2x +y>-3, x>0b.x+y> 2 , 2x +y>-3, y>0c. x+y< 2 , 2x +y<-3, y>0d.x+y< 2 , 2x +y>-3, y>0
Use graph #2
D
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Graphing inequalities for $200
Graphing inequalities for $300
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Use graph #3
a.y< 2 , y< 6x + 2b.y< 2 , y< 6x + 2c.y> 2 , y< 6x + 2d.Y> 2 , y< 6x + 2
A
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Graphing inequalities for $300
Graphing inequalities for $400
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a.4x<y, -x + 4y <4b.4x>y, -x + 4y <4c.4x>y, -x + 4y >4d.4x>y, -x + 4y >4
Use graph #4
B
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Graphing inequalities for $400
Graphing inequalities for $500
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Use graph #5a.x>-5, x <0, y<2x + 7b.x<-5, x <0, y<2x + 7c.x>5, x <0, y<2x + 7d.x>-5, x <0, y<2x + 7
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Graphing inequalities for $500
D