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Graphing Systems of Equations
Substitution
Elimination Using Addition and Subtraction
Elimination Using Multiplication
Misc
100
Graph the system of equations. Determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it. (1/3)y = x y + x + 4 = 0
Test, Form 3, #1 one solution (-1, -3)
100
How many solutions exist for this system of equations? y = -3x + 2 y = 2x
one solution
100
Solve the system and find the value of y 3x - 5y = -35 2x - 5y = -30
y = 4
100
To eliminate the variable y in the system of equations, multiply the second equation by which number? 6x + 4y = 22 2x - y = 1
4
100
How many solutions exist for this system of equations? y = 2x y = 2x - 4
No solution
200
Solve the system of inequalities: -2x - y > 1 (1/2)x - y < or = 1
Form 3, # 18 y < -2x - 1 (dotted, does NOT include (0, 0)) y > or = (1/2)x - 1 (includes (0,0))
200
If x = 2 and 3x + y = 5, what is the value of y?
-1
200
Solve the system and find the value of y: 3x + 4y = -30 2x - 5y = 72
y = -12
200
2x + (2/3)y = -8 (1/2)x - (1/3)y = 1
(-2, -6)
200
Which method should be used to solve this system of equations? y = 3x + 1 2x + 4y = 5
substitution
300
Test Form 1, #1
C
300
Use substitution to solve the system of equations n = 3m - 11 2m + 3n = 0
(3, -2)
300
Use elimination to find the value of x in the system of equations: 2x + 2y = 10 2x - 3y = 5
x = 4
300
solve for x 4x + 6y = 10 2x + 5y = 1
5 (1/2)
300
Solve the system of equations: x - y = 5 x + y = 3
(4, -1)
400
Form 1, Question 16
C (1,1)
400
If x = 2y + 3 and 4x - 5y = 9, what is the value of y?
-1
400
6x - 7y = 21 3x + 7y = 6
(3, -3/7)
400
Solve for y: 8x - 7y = 5 3x - 5y = 9
y = -3
400
Solve the system: (1/2)x + (2/5)y = -10 3x + 6y = -6
(-32, 15)
500
Form 2A, #17
J.
500
Use substitution to solve the system x + 2y = 1 and 2x + 5y = 3
(-1, 1)
500
Three times one number added to five times a second number is 68. Three times the second number minus four times the first number is 6. What are the two numbers?
This is NOT an addition and subtraction problem. (6, 10)
500
The sum of two numbers is 16 and their difference is 20. What are the two numbers?
18 and -2
500
A trail mix that costs $2.45 per pound is mixed with a trail mix that costs $2.30 per pound. How much of each type of trail mix must be used to have 30 pounds of a trail mix that costs $2.35 per pound?
10lb of $2.45 20lb of $2.30