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Terminology
Substitution
Elimination
Graphing
Word problems
100
When you lines on a graph are parallel, your system of equations has
No Solution
100
solve for x and y: y=2x+1 x+y=7
x=2, y=5
100
x+y=-1 -x+3y=-9
x=3,y=-2
100
y=8-2x 4x+2y=16
x=2, y=4
100
Jackie has 12 coins in her pocket, a combination of nickels and dimes. All together she has $1.10. How many of each type of coin does Jackie have?
Nickels=2 Dimes=10
200
When you lines on a graph are the same, you system's answer is
All points along the line
200
solve for x and y: x+y=3 2x+3y=9
x=0 ,y=3
200
x+2y=3 x-2y=11
x=7, y=-2
200
y=x+4 y=3x+6
x=-1, y=3
200
Jim and Stacy's combined ages are 32. Jim is 4 years older than Stacy. Find out each of their ages.
Jim=18 Stacy=14
300
When you have exactly one answer for you system of equations (one x and one y) the system is classified as
What is independent
300
solve for x and y: y=3+2x y=9-x
x=2, y=7
300
3x+2y=21 7x+2y=41
x=5, y=3
300
y=3x-7 2x+y=3
x=2, y=-1
300
Chris and Michelle's ages combined are 52. If Chris is 2 years younger than Michelle, how old is Michelle?
Michelle=27
400
When you have no answers for you system of equations (such as 0=3) the system is classified as
What is inconsistent
400
solve for x and y: 2x+3y=15 2x+7y=27
x=3,y=3
400
2x+3y=21 7x-2y=36
x=6,y=3
400
2x+y=7 7x+2y=20
x=2,y=3
400
Shoprite is having a special on turkey and cheese this week. They are selling 3 pounds of turkey and 2 pounds of cheese for $34 or 5 pounds of turkey and 3 pounds of cheese for $55. If cheese usually sells for $3.50 per pound, is this a good deal?
Turkey=8 Cheese=5 Not a good deal if you only like cheese
500
When you have infinitely many answers for you system of equations (such as 0=0) the system is classified as
What is dependent
500
3x+4y=5 4x+2y=10
x=3,y=-1
500
7x-3y=20 12x+8y=8
x=2,y=-2
500
x+2y=-9 4x+4y=-20
x=-1,y=-4
500
A chemist is trying to make a solution of acetone and water. She only has mixtures of 50% and 20%, but wants 40 liters of a 25% solution. How many liters of each type does she need?
6.67 liters of 50% and 33.3 liters of 20%