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Solving by Graphing
Solving by Elimination
Solving by Substitution
Word Problems
200

The solution to the following system:

y = x + 4
y = 2x + 5

What is  (-1, 3)?

200
The solution to the system of equations:

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

What is (-8, 2)?
200
The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)
200
The sum of two numbers is 104. Their difference is 68. What are the numbers?
What are 86 and 18?
400
The solution to the system of equations:

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

What is (0, -2)?
400
The solution to the system:

8a + 5b = 9
2a - 5b = -4

What is (0.5, 1)?
400
The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)
400
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?
600
The solution to the system of equations:

y = -3
x = 5

What is (5, -3)
600
The solution to the system:

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

What is (-15, 12)?
600
The solution to the system

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

What is (3, 8)
600
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.oo 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.
What is 400 advanced tickets, 200 game-day tickets?
800
The solution to the system of equations

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

What is (3, -2)
800
The solution to the system

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

What is infinitely many solutions?
800
The solution to the system

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

What is (-2, -5)
800
The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width
What is 26x13?
1000
The solution to the system of equations:

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

What is no solution?
1000
The solution to the system:

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

What is (24, 8)
1000
The solution to the system

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

What is (3, 9)?
1000
The amount of money each child received when Mr. Vogel left $25,000 divided between his son and daughter, with the daughter receiving $5000 less than the son.
What is $15,000 for the son and $10,000 for the daughter?