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Miscellaneous
Solving by Graphing
Solving by Elimination
Solving by Substitution
Word Problems
100
A system of equations that are graphed as parallel lines have how many solutions?
No solutions
100
y = 4x + 3
y = -x - 2
What is (-1,-1)
100
The solution to the system of equations:

r + s = -6
r - s = -10

What is (-8, 2)?
100
The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)
100
The sum of two numbers is 104. Their difference is 68. What are the numbers?
What are 86 and 18?
200
A system of equations that are graphed as one line have how many solutions?
What is many solutions?
200
The solution to the system of equations:

y = 3x - 2
y = -x - 2

What is (0, -2)?
200
The solution to the system:

-5x + 3y = -1
5x - 3y = -4

What is no solution?
200
The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)
200
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
What is $30?
300
A system of equations with one solution is also considered...
What is consistent and independent?
300
The solution to the system of equations:

4x - 6y = 12
2x = 3y + 6

What is many solutions?
300
The solution to the system:

2x + 3y = 6
3x + 5y = 15

What is (-15, 12)?
300
The solution to the system

y = 3x - 1
7x + 2y = 37

What is (3, 8)
300
Tickets to a football game cost $5.00 if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500. How many advanced tickets and game day tickets were sold?
What is 400 advanced tickets, 200 game-day tickets?
400
A system of equations with no solution is also considered...
What is inconsistent.
400
The solution to the system of equations

y = (1/3)x - 3
2x - y = 8

What is (3, -2)
400
The solution to the system

2a - 4b = 12
-8a + 16b = -48

What is infinitely many solutions?
400
The solution to the system

3s - 2t = 4
t = 2s - 1

What is (-2, -5)
400
A woman owns 21 pets. Each of her pets is either a cat or a bird. If the pets have a total of 76 legs, and assuming that none of the bird's legs are protruding from any of the cats' jaws, how many cats and how many birds does the woman own?
She has 17 cats and 4 birds.
500
A system of equations with many solution is also considered...
What is consistent and dependent?
500
The solution to the system of equations:

y - 3x = 3
y = 3x - 2

What is no solution?
500
The solution to the system:

(1/3)x + (1/4)y = 10
(1/3)x - (1/2)y = 4

What is (24, 8)
500
The solution to the system

t + u = 12
t = (1/3)u

What is (3, 9)?
500
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
There were 1500 children and 700 adults.