Equal Values Method
Substitution Method
Elimination Method
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
Solve the following system of equations by elimination x+y=10 and x-y=2
x=6, y=4 or (6, 4)
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
Solve the system of equations by elimination: 4x-3y=-2 and 4x+5y=14
x=1, y=2 or (1, 2)
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
Solve each system of linear equations by elimination: 3x-y=17 and y+2x=8
x=5, y=-2 or (5, -2)
300
Simplify using the distributive property: (x + 3)(x + 2)
x^2 + 5x + 6
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
Solve the following system of equations using the elimination method: 3x + 2y = 6 and x - 4y = 2
x = 2 and y = 0 or (2, 0)
400
Simplify using the distributive property: (-2x-4)(3x+2)
-6x^2 -16x -8
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
A student can make a weekly salary of $200 plus 15% commission on sales at the Radio Barn or a weekly salary of $300 plus 10% on sales at Woofer, Etc. For what amount of sales do these two jobs pay the same? Write two equations and solve using elimination
i=.15s+200 i=.10s+300 0=.05s-100 s=20 20 sales per week
500
Simplify using the distributive property: (x+1)(2x+y+3)
2x^2 + xy + 5x + y + 3
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
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