When two or more equations are considered simultaneously
What is a system of equations
100
y=3x-1____
2x+y=9
What is (2,5)
100
x+3y=-9______
-x+y=-7
What is (3,-4)
100
The sum of two numbers is 12, and their difference is 6. What are the two numbers?
What is 3 and 9
200
An ordered pair that is a solution of all equations in a system
What is a solution of a system
200
3y-2x=4____
x=3-y
What is (1,2)
200
2x+6x=-12_____
3x-2y=4
What is (0,-2)
200
Twice a boy's age is 9 more than his brother's. The average of their ages is 12. How old are they?
What is 11 and 13
300
Systems that have the same solutions.
What is an equivalent system
300
2x-y=-8_____
3x+2y=-5
What is (-3,2)
300
2x+y=2_____
3y=-6x+6
What is infinite solutions
300
A girl has $6 in 36 coins (all quarters and nickels). How many of each does she have?
What is 21 quarters and 15 nickels
400
Solving one equation for a variable, substituting it in the other equation, and solving for the remaining variable.
What is a substitution method
400
3x-6y=30_____
2y=x+6
What is no solution
400
5x+2y=2______
3x+5y=24
What is (-2,6)
400
A girl's cell phone costs $10 per month plus 10 cents per minute. Her friend's costs $3 per month plus 15 cents per minute. For what amount of talking time will the cost of these plans be the same?
What is 140 minutes
500
Multiplying equations so like terms have opposite coefficients, adding the equations, and solving the result.