Solve by Substitution
Solve by Elimination
Solve by Setting Equal
Solving for x
Mixed Collection
100

4x+3y=9

x=3

(3,-1)
100
x+2y=2

x-2y=-6

(-2,2)
100
y=3x-5

y=-3x+7

(2,1)
100
Is 8 a solution to .5x+9=13?
Yes
100
Do the graphs of the equations -16x+12y=33 and -4x+3y=8 graph the same line?
No, the equations are not equal
200
x+y=-1

2x-3y=-12

(-3,2)
200
x+y=-1

2x-3y=-2

(-1,0)
200
y=5x-19

3x+11=y

(15,56)
200
Is -3 a solution to the equation 3x-5=4+2x?
No
200
Students sold 275 tickets for a fundraiser at school. Some tickets are for children and cost $3, while the rest are adult tickets that cost $5. If the total value of all tickets sold was $1,025, how many of each type of ticket was sold?
175 children's tickets

100 adult tickets

300
y=-4x+6

2x-y=11

(17/6, -16/3)
300
2x-9y=7

x+9y=5

(4,1/9)
300
x+9=y

x=4y-6

(-10,-1)
300
5x-(x+3)=1/3(9x+18)-5
x=4
300
How many brothers and sisters does Ms. Helgager have?
0 sisters

2 younger brothers

400
2x-y=-1

y=5x-5

(2,5)
400
5x-2y=6

-10x4y=-14

The slopes of these two equations are the same, and the y-intercept points are different which means they graph as parallel lines. Therefore, this solution will have no solution.
400
Given that 2x+7=27 and 3x+1=28, does 2x+7=3x+1?
No, 27 does not equal 28 so the equations cannot be set equal.
400
5(3x+9)-2x=15x-2(x-5)
No Solution
400
What is the name of Ms. Helgager's dog?
Misha
500
y=-4x+6

2x-y=11

(17/6,-16/3)
500
-2x+7y=5

4x-2y=14

(9/2,2)
500
3y=5x-15

3y=13x-2

(-13/8,-185/24)
500
16-1/2x=3/4x+1
x=12
500
What State did Ms. Helgager grow up in?
Minnesota 
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