Definitions
A collection of two or more equations with a same set of unknowns or variables.
What is a system of equations?
y = x + 4
y = 2x + 5
r + s = -6
r - s = -10
x = 4y
2x + 3y = 22
The sum of two numbers is 104. Their difference is 68. What are the numbers?
What are 86 and 18?
The b in the equation y=mx +b
What is the y-intercept?
y = 3x - 2
y = -x - 2
The solution to the system:
x + y = 1
-2x + y = 4
What is (-1, 2)?
y = x - 2
3x - y = 16
A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?
What is $30?
The ratio of rise to run
What is slope? or What is rate of change?
y = -3
x = 5
The solution to the system:
8a + 5b = 9
2a - 5b = -4
What is (0.5, 1)?
y = 3x - 1
7x + 2y = 37
The number of each type of ticket sold in the following situation: Tickets to a football game cost $5.00 if purchased before the day of the game. They cost $7.50 if purchased at the game. For a particular game, 600 tickets were sold and the receipts were $3500.
What is 400 advanced tickets, 200 game-day tickets?
y = (1/3)x - 3
2x - y = 8
2a - 4b = 12
-8a + 16b = -48
3s - 2t = 4
t = 2s - 1
A student bought 6 snack sized goldfish and 8 bags of Cheetos for $9. Another student later that day bought 9 snack sized goldfish and 6 bags of Cheetos for $9. What was the cost of one snack sized goldfish and what is the cost of one bag of Cheetos?
What is 0.5 (50 cents) for the goldfish and 0.75 (75 cents) for the chips?
The process of combining(adding or subtracting) two equations with two unknows to obtain one equation with one unknown.
What is elimination? or What is linear combination?
y - 3x = 3
y = 3x - 2
The solution to the system:
(1/3)x + (1/4)y = 10
-(1/3)x + (1/2)y = -4
What is (24, 8)
t + u = 12
t = (1/3)u
The amount of money each child received when Mr. Vogel left $25,000 divided between his son and daughter, with the daughter receiving $5000 less than the son.
What is $15,000 for the son and $10,000 for the daughter?