Vocabulary
when two or more equations are solved together
What is a system of equations?
x+3y= -9
-x+y=-7
What is (3, -4)?
The ratio of rise to run
What is slope?
The sum of two numbers is 12, and their difference is 6. What are the two numbers?
What are 3 and 9?
the point of intersection of two equations in a system
What is a solution?
2x+6y= -12
3x-2y=4
What is (0,-2)?
Solve
x+y=12
x-y=2
What is (7,5)?
Peter and Paul together have $60. Peter has $9 more than twice Paul's amount. How much money does each have?
What are $17 & $43?
the kind of lines that give infinite number of solutions
What are the same lines?
7x + 2y = 24
8x + 2y = 30
What is (6, −9)?
2x+3y=11
-2x+3y= -5
What is (4,1)?
A girl has $6 in 36 coins (all quarters and nickels). How many of each does she have?
What are 21 quarters and 15 nickels?
the method for solving a system of equations such that you have solved for one variable and you plug it in to the other equation and solve for the other variable.
What is the substitution method?
5x+2y=2
3x+5y=24
What is (-2,6)?
The number of solutions of two parallel lines
What is zero?
A movie theater charges $5 for an adult’s ticket and $2 for a child’s ticket. One Saturday, the theater sold 785 tickets for $3280. How many adult tickets were sold?
What is 570?
The method you use to solve a system of equations by multiplying equations so like terms have opposite coefficients, adding equations, and solving for the variables.
What is the elimination method?
−14 = −20y − 7x
10y + 4 = 2x
What is (2, 0)?
Which ordered pair is a solution to the system:
-10x + 6y = 8
-5x + 3y = 4?
A. (0, 0) C. (1, 3)
B. (1, -3) D. No solution
What is no solution?
A girl received $100 for her birthday. At the store she can buy 1 video game and 3 DVD's for $100. She could also buy 2 video games and 1 DVD for $100. How much does 1 video game and 1 DVD cost?
What is $40 (video) and $20 (DVD)?