Solve by Graphing
Substitution
Elimination
Word Problems
Special Systems
100
Graph
y=2x-4
y=-1/2x+1
y=2x-4
y=-1/2x+1
(2, 0)
100
Solve by substitution
y=x-4 4x+y=26
y=x-4 4x+y=26
(6,2)
100
Solve by elimination
2x+y=4
x-y=2
2x+y=4
x-y=2
(2,0)
100
You have only $1 and $5 bills in your pocket. There are a total of 7 bills worth a total of $19. How many of each do you have?
$5: 3
$1: 4
$1: 4
100
Does the following system have no solution, infinite solutions, or a single solution? Find the solution if possible.
-x+y=7
2x-2y=-18
-x+y=7
2x-2y=-18
No solution. Parallel lines
200
Solve by graphing:
y=-x+6
x-y=12
y=-x+6
x-y=12
(9,-3)
200
Solve by substitution
y-x=7 2x+3y=31
y-x=7 2x+3y=31
(2,9)
200
Solve by elimination
v-w=-5
v+2w=4
v-w=-5
v+2w=4
(-2,3)
200
A store sold 32 pairs of jeans for a total of $1050. Brand A sold for $30 per pair and Brand B sold for $35 per pair. How many of each were sold?
Brand A: 14
Brand B: 18
Brand B: 18
200
Does the following system have no solution, infinite solutions, or a single solution? Find the solution if possible.
x-y=0
5x-2y=6
x-y=0
5x-2y=6
(2,2)
300
Solve by graphing:
4x-y=3
3x+y=4
4x-y=3
3x+y=4
(1,1)
300
Solve by substitution
m+2n=1 5m+3n=-23
m+2n=1 5m+3n=-23
(-7,4)
300
Solve by elimination
x-y=0
-3x-y=2
x-y=0
-3x-y=2
(-.5,-.5)
300
A store is selling compact discs for $10.50 and $8.50
You buy 10 discs for $93. How many of each type of disc did you buy?
You buy 10 discs for $93. How many of each type of disc did you buy?
You bought 4 $10.50
and 6 $8.50
and 6 $8.50
300
Does the following system have no solution, infinite solutions, or a single solution? Find the solution if possible.
2x-2y=4
-x+y=-2
2x-2y=4
-x+y=-2
Infinite solutions
400
Solve by graphing:
x+9y=9
3x+6y=6
x+9y=9
3x+6y=6
(0,1)
400
Solve by substitution
x-y=0 12x-5y=-21
x-y=0 12x-5y=-21
(-3,-3)
400
Solve by elimination
x-3y=30
6y+2x=24
x-3y=30
6y+2x=24
(21,-3)
400
You have $2.65 in your pocket. You have a total of 16 coins, with only quarters and dimes. How many of each do you have?
Quarters: 7
Dimes: 9
Dimes: 9
400
Does the following system have no solution, infinite solutions, or a single solution? Find the solution if possible.
3x-2y=3
-6x+4y=-6
3x-2y=3
-6x+4y=-6
Infinite solutions
500
Solve by graphing:
7x+8y=24
x-8y=8
7x+8y=24
x-8y=8
(4,-.5)
500
Solve by substitution
-3w+z=4 -9w+5z=-1
-3w+z=4 -9w+5z=-1
(-7/2,-13/2)
500
Solve by elimination
3x+5y=19
x-2y=-1
3x+5y=19
x-2y=-1
(3,2)
500
A carpenter is buying supplies. The job requires 4 sheets of oak wood paneling and 2 sheets of shower tileboard. The carpenter pays $99.62 for these supplies.
On another job the carpenter spends $139.69 for 8 sheets of oak paneling and 1 sheet of shower tileboard. How much is 1 sheet of oak paneling?
On another job the carpenter spends $139.69 for 8 sheets of oak paneling and 1 sheet of shower tileboard. How much is 1 sheet of oak paneling?
Oak:$14.98
Shower: $19.85
Shower: $19.85
500
In the following system, find a value for N that makes the system have infinite solutions.
6x-9y=N -2x+3y=3
6x-9y=N -2x+3y=3
N=-9