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Graphing Method
Substitution Method
Slope
Distributive Property
Short Answer
100
Solve the following system of equations using the equal values method: y = x + 2 and y = 2x - 1
x = 3 and y = 5 or (3, 5)
100
Solve the following system of equations by substitution: y=1 and y=x
What is x=1, y=1 or (1, 1)
100
(6, 2) (8, 5)
3/2
100
Simplify using the distributive property: 

 3(y+2x+3)

3y + 6x + 9
100
If both equations in a system have the same slope and y intercept, how many solution exist to the equations?
infinite or no unique solution
200
Solve the following system of equations using the equal values method: y = 3x + 5 and y = 4x + 8
x = -3 and y = -4 or (-3, -4)
200
Solve the following system of equations by substitution: y=x+1 and 2x+y=7
What is x=2, y=3 or (2, 3)
200
(3, 10) (12, 8)
-2/9
200
Simplify using the distributive property: 

 2x(x + 4)

2x^2 + 8x
200
If a system of equations intersect, how many solutions does it have?
one
300
Solve the following system of equations using the equal values method: y = 11 - 2x and y = x + 2
x = 3 and y = 5 or (3, 5)
300
Solve the system of equations by substitution: 4x=8y and 2x+5y=27
What is x=6, y=3 or (6, 3)
300
(-3, 6) (11, -5)
-11/14
300
Simplify using the distributive property: 

 3y(2x + 3y - 4)

6xy + 9y^2 - 12y

300
If a system of equations has no solution, what do you know about the graphs of the lines?
they don't intersect (they are parallel)
400
Solve the following system of equations using the equal values method: y = 3 - 2x and y = 1 + 2x
x = 1/2 and y = 2 or ( 0.5, 2)
400
Solve the following system of equations using the substitution method: y=2x-3 and x+y=15
x = 6 and y = 9 or (6,9)
400
(-12, 9) (-14, 5)
2
400

Simplify using the distributive property:

2(8m + 4) - (6m + 1)

10m + 7

400
If the equations in a system have the same slope, but different y-intercepts, how many solutions does it have?
none
500
Solve the following system of linear equations using the equal values method: 

 y = -2/3x + 4 and y = 1/3x - 2

x = 6 and y = 0 or (6, 0)
500
You bought three more tacos than you bought burritos. The tacos cost $1 each and the burritos cost $2 each. You spent a total of $12. Write two equations to express this relationship and solve using the substitution method.
T = B + 3 and 1T+2B = 12, you bought 3 burritos and 6 tacos (geez, you were HUNGRY!)
500
(-3,-7) (-8,-2)
-1
500

Simplify using the distributive property: 

-2x(1 - 4x) - 5(x - 7) 

-7x + 8x^2 + 35

500
The price of admission to FunPark is $10. Each ride costs $5 dollars. Write an equation to model the amount of money you would spend at FunPark.
c=5r+10