Miscellaneous
Systems of
Equations
Applications of Solving Systems of Equations
Methods/types of systems of equations
Number of Solutions
100
A letter used to represent an unknown number
What is a variable?
100

Any ordered pair that makes all of the equations in a system true. 

What is a solution of a system of a linear equations? 

100

The solution to 

3y=4x+1

8x-2y=10

What is (2,3)

100
When you plot lines on a coordinate plane to find where they intersect. 

What is graphing a system of equations? 

100

The number of solutions to 

y=x

y=3x

What is "One solution"? 

200

The number attached to a variable? 

What is a coefficient? 

200

Solution to 

y=2x+2

y=x-3


What is (-5,-8)

200

A concession stand sold a total of 78 hot dogs and hamburgers and brought in $105.50. Hamburgers cost $1.50 and Hot dogs $1.25. How much of each did they sell? 

What is 32 hamburgers and 46 hot dogs? 

200

When you isolate one variable, and put it in place of that variable in the other equation. 

What is solving a system of equations by substitution? 
200

The number of solutions to

y=2x-3

y=2x+1

What is "no solutions" 

300

When two lines never intersect  

What are parallel lines? 

300

The solution to 

y=3/4x-5

3x-4y=20

What is infinitely many solutions? 

300

The perimeter of a rectangle is 66 cm and its width is half its length. What are the length and width of the rectangle. 

What is length=22 cm and width=11

300

When you add two equations and one of the variables is left with a coefficient of 0.

What is solving a system of equation by elimination? 

300

The number of solutions to

3y=3x-6

y=x-2

What is "infinitely many"?

400

If a system of equations results in the same line, there are this many solutions.

What is infinitely many solutions?

400
The solution to 

y=-3x+2

3x+y=1


What is No solution? 

400

The sum of two numbers is 67. The smaller number is 3 less than the larger number. 

What is 35 and 32? 

400

A consistent system that has infinitely many solutions. 

What is a dependent system? 

400

The number of solutions to

6y=2x-14

x-7=3y

What is the infinitely many solutions? 

500

The best math teachers ever!!!!

Who are Ms. Patch and Mr. Anderson

500

The solution to 

y=-3/2x-3

y=1/4x+4

What is (-4,3)

500

You have coins that consist of 275 dimes and quaters and totals 51.50. How many of each. 

What is 115 dimes, and 160 quarters? 

500

A consistent system that has exactly one solution.

What is an independent system?

500
The number of solutions to 


6x-4y=54

3x+2y=27

What is "one solution"? 

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