Graphing
Substitution
Elimination
Special Systems
Word Problems
100
y=1 x=5
(5,1)
100
y=-2x+4 -x+3y=-9
(3,-2)
100
4x-5y=0 8x+5y=-60
(-5,-4)
100
3x-y=-1 y=3x-3
no solution
100
The length of a rectangle is one less than twice its width. The perimeter of the rectangle is 28 cm. Find the dimensions of the rectangle.
The width is 5 cm and the length is 9 cm.
200
x-4y=-12 -3x+4y=20
(-4,2)
200
y=x+2 y=3x+4
(-1,1)
200
2x+3y=6 x-3y=12
(6,-2)
200
y=2x-5 y=2x+7
no solution
200
Two students are going to the store to buy school supplies for the new school year. One of he students buys 2 packs of pencils and 3 packs of pens for $8.25. Her friend purchases 5 packs of pencils and 2 packs of pens for $11.00. Find the cost of each.
Each pencil pack costs $1.50, and each pen costs $1.75.
300
4x-y=6 y=-3x+22
(4,10)
300
y=-2x+1 y=2x-3
(1,-1)
300
x+2y=-7 3x-8y=7
(-3,-2)
300
x-y=8 2y=2x-16
infinite solutions
300
At Dodger Stadium the price for 3 Dodger dogs and 2 Cokes is $30.50, while the price for 2 Dodger Dogs and 4 Cokes is $31. How much is it for 5 Dodger Dogs and 3 Cokes?
The cost for 5 Dodger Dogs and 3 Cokes is $49.50.
400
-6x+y=-3 y=4x-1
(1,3)
400
8x+y=3 5x-2y=-27
(-1,11)
400
5x+8y=-2 -2x+3y=7
(-2,1)
400
3x+4y=-10 y=(-3/4)x-(5/2)
infinite solutions
400
On Saturday, a parking lot took in $213 in revenue when 7 cars and 3 trucks parked there. There was $438 in revenue on Sunday when 5 cars and 12 trucks parked there. Solve a system of equations to find the cost to park a car and the cost to park a truck at this lot.
The cost to park a car is $18 and the cost to park a truck is $29.
500
12x-3y-10=-7 y=4x-1
infinite solutions
500
-2x+3y=9 y-7=2x
(-3,1)
500
-5x+3y=-6 9x-4y=1
(-3,-7)
500
12x-3y-10=-7 y=4x-1
infinite solution
500
A jar of candy is on the counter. Except for 16 pieces, all are red. Except for 16 pieces all are blue. Except for 16 pieces all are green. Except for 18 pieces all are yellow. Write a system of equations to find how many [pieces of each color there are.
6 red, 6 blue, 6 green, and 4 yellow
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