What is when two or more equations are considered simultaneously?
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. Find the numbers.
What are 3 and 9?
200
Define a solution of a system.
What is an ordered pair that is a solution of all equations in a system?
200
3y - 2x = 4
x = 3 - y
What is (1, 2)?
200
2x + 6y = -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. Find their ages.
What are 11 and 13?
300
Define an equivalent system.
What are systems that have the same solutions?
300
2x - y = -8
3x + 2y = -5
What is (-3, 2)?
300
2x + y = 2
3y = -6x + 6
What is Infinitely Many Solutions?
300
A girl has $6 in 36 coins (all quarters and nickels). Find how many of each coin she has.
What are 21 quarters and 15 nickels?
400
Define substitution method.
What is solving one equation for a variable, substituting it in the other equation, and solving for the remaining variable?
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. Find the amount of time the girl's can talk so their cost will be the same.
What is 140 minutes?
500
Define elimination method.
What is multiplying equations so like terms have opposite coefficients, adding the equations, and solving the result?
500
2a + 4b = -5
3a - 5b = 9
What is (0.5, -1.5)?
500
0.7x + 2y = 1.61
2x - 0.3y = 0.39
What is (0.3, 0.7)?
500
Find the number of liters of a 60% salt mixture must be added to 2 liters of a 30% salt mixture to yield a 48% mixture.