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Type of System
Solving by Substitution
Graphing (Eq's & Ineq's)
Solving by Elimination
Word Problems
100

Determine whether the given system is dependent, independent, or inconsistent.

y=2x-4

y=2x-3

What is inconsistent?

100
The solution to the system:

x = 4y
2x + 3y = 22

What is (8, 2)
100

The solution to the system of equations:

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

What is (-1, 2)

100
The solution to the system of equations:

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

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

Determine whether the given system is dependent, independent, or inconsistent.

-3x - 6y = 6

x + 2 = -2

What is dependent?

200
The solution to the system

y = x - 2
3x - y = 16

What is (7, 5)
200

The solution to the system of equations:

y = (5/4)x - 3
y = (-1/2)x + 4

What is (4, 2)?

200

The solution to the system:

2x + 5y = 9
3x - 5y = 1

What is (2, 1)?

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

Determine whether the given system is dependent, independent, or inconsistent.

-10x + 2y = 10

10x + 8y = -10

What is independent?

300
The solution to the system

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

What is (3, 8)
300

The solution to the system of inequalities:

y < x - 1
y < (-1/2)x + 2

What is (Mrs. Scully will provide)?

300

The solution to the system:

-7x + 2y =-1
14x - y = 11

What is (1, 3)?

300

The number of each type of ticket sold in the following situation: Tickets to a football game cost $5 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 total income was $3500.

What is 400 advanced tickets, 200 game-day tickets?

400

Determine whether the given system is dependent, independent, or inconsistent.

4x - 8y = 4

-2x + 4y = -6

What is inconsistent?

400

The solution to the system

3x - 2y = 4
2x - y = 1

What is (-2, -5)

400

The solution to the system of equations

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

What is (4, 4)?

400

The solution to the system

-4x - 2y =4
-5x + 4y = -21

What is (1, -4)?

400
The dimensions of a rectangle whose perimeter is 78 inches, when the length of the rectangle is twice its width
What is 26x13?
500

Determine whether the given system is dependent, independent, or inconsistent.

4x - y = -10

y = 4x+10

What is dependent?

500

The solution to the system

3x + 2y =3
2x+y = 1

What is (-1, 3)?

500

The solution to the system of inequalities:

x +2y > -4
3x + y < 3

What is (Mrs. Scully will provide)?

500

The solution to the system:

-5x - 7y = -15
3x - 5y = 9

What is (3, 0)

500

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?