Graphs
The solution to the system y = x + 4 and y = 2x + 5 lies in this quadrant on the coordinate plane
What is the second quadrant?
2x - 3(x -3) = 4
2x - 3x +3 = 4
so x = -1
What is the -3 should be distributed to all terms in the parenthesis?
This is the solution to the system y = x and y = -2x + 1
The sum of two numbers is 12 and the difference is 6. This is the two numbers
What are 3 and 9?
When two equations or more equations are solved at the same time
What is System of Equations?
Graph to find this solution to the system y = 2x - 1 and y = -x -1
What is (0, -1)?
This is the mistake in the solving the system below:
2x -3(2/3 x -3) = 9
2x - 2 + 9 = 9
so x = 1
What is one of the x variables disappeared while distributing?
The solution to the system 2y = 16x - 2 and y = 8x - 1 is this
What is infinitely many solutions?
A business rents bicycles and roller skates. Bike rentals cost $25 per day and skates cost $20 per day. The business has 20 rentals today and makes $455. This is the number of bikes and the number of skates rented today
What is 11 bikes and 9 skates?
The ratio of Rise over Run
What is Slope?
Use graphing to determine this solution to the system y = 2 and y = x + 2
What is (0,2)?
This is the mistake solving the system below:
I use elimination for the equations -10x +10y = 30 and -10x + 5y = 30 so I add both equations
What is the coefficients are the same so I should subtract both equations?
The solution to the system -2x + y + 3 = 0 and 3x + 4y = -1 is this
What is (1,-1)?
You have a total of 5 quarters and dimes in your pocket. The value of the coins is $0.80. This is the number of quarters and dimes in your pocket.
What is 2 quarters and 3 dimes?
y = mx + b is more formally known as this
What is Slope-Intercept form?
Graph to find this solution to the system y = 4 and x = 2
What is (2, 4)?
This is the mistake solving the system below:
I use elimination for the equations -10x +10y = 30 and -10x + 5y = 30 so I subtract both equations and get -5y = 0. Therefore there are no solutions.
What is -5y = 0 means that y = 0, not that there are no solutions?
The solution to the system y = 3-2x and x-y = 3 is this
Twice a student's age is 9 more than her brother's. The average of their ages is 12. This is how old she is
What is 11 years old?
What is Substitution?
Graph to find this solution to the system y - 3x = 3 and y = 3x - 2
What is no solution?
This is the mistake in solving the system below:
I plugged the solution I found into both equations and got a false statement. This means the system has no solution.
What is checking your solution and getting a false statement tells you the solution is wrong, not that there is no solution?
This is the solution to the system -2x-7y = -1 and -2x + 4y = -12
You download a digital album for $10. Then you and your friend download the same number of individual songs for $0.99 each. This is the number of individual songs downloaded where you and your friend will spend the same amount of money
What is you will never spend the same amount of money?
The form of a linear equation where the constant term is isolated is this
What is Standard Form?