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Miscellaneous
Solving by Graphing
Solving by Elimination
Solving by Substitution
Applications and Inequalities
100
A set of two or more equations that each have the same solution is known as...
Linear System (or System of Equations)
100
The solution to the graph of a linear system is where...
The lines intersect
100
The solution to the system of equations:

x + y = -6
x - y = -10

What is (-8, 2)?
100
Solve the system by substitution

x = 4y
2x + 3y = 22

(8, 2)
100
The solution area for the graph of a system of inequalities is where...
The shaded areas overlap
200
If a linear system has no solution then the lines will...
Be parallel
200
Find the solution to the system of equations by graphing

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

(2,-1)
200
Find the solution to the system by elimination

3x + 4y = 16
2x - 3y = 22

(8,-2)
200
Find the solution to the system using substitution

y = x - 2
3x - y = 16

(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?
The cost of one shirt is $30.
300
The answer to a linear system is always written as an...
Ordered pair
300
The solution to the system of equations

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

(3,-2)
300
Find the solution to the system by elimination

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

(-15, 12)
300
Find the solution to the system using substitution

3x - y = 4
2x - 3y = -9

(3,5)
300
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.
400 tickets were bought in advance and 200 tickets were bought on the day of the game.
400
The best university in the country
Oklahoma State
400
Find the solution to the system by graphing

y = -x + 5
3y + 3x = 15

Infinitely many solutions
400
Solve the system by elimination

9x - 6y = -12
-2x + 3y = -4

(-4,-4)
400
When using the substitution method, this is the variable that we should always try to solve for first
The variable with the coefficient of 1 or -1
400
It costs a newspaper company $0.90 to print and deliver each copy of their newspaper. The company also spends $600 on research and writing. The company sells their newspaper for $1.50 per copy. How many copies of the newspaper must the company sell in order to break even?
The company must sell 1000 copies of their newspaper in order to break even.
500
The alliterative vehicle by which presents are transported on Christmas Eve.
What is Santa's Sleigh?
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 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?