The solution to the system of equations
y = x + 4
y = 2x + 5
What is (-1,3)
r + s = -6
r - s = -10
x = 4y
2x + 3y = 22
Given the following equation of a line, find one equation that is equivalent to the given line.
3x + 2y = 6
6x + 4y = 12
9x + 6y = 18
12x+ 8y = 24
etc.
y = 3x - 2
y = -x - 2
The solution to the system:
-3x - 2y = -4
9x + 3y = 15
What is (2,-1)?
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 answer to an equation or system of equations.
What is a solution?
y = -3
x = 5
2x + 3y = 6
3x + 5y = 15
y = 3x - 1
7x + 2y = 37
An animal shelter spends $2.20 per day to care for each cat and $3.50 per day to care for each dog. Pat noticed that the shelter spent $120.25 caring for cats and dogs on Friday. Write an equation to represent the possible numbers of cats and dogs that could have been at the shelter on Wednesday.
2.20c + 3.50d = 120.25
Let c = # of cats
Let d = # of dogs
The solution to the system of equations
y = (1/3)x - 3
y = 2x - 8
What is (3, -2)
2a - 4b = 12
-8a + 16b = -48
How many sides does a hexagon have?
SIX!
Allysa spent $35 to purchase 12 chickens. She bought two different types of chickens. Americana chickens cost $3.75 each and Delaware chickens cost $2.50 each. Write a system of equations that can be used to determine the number of Americana chickens, A, and the number of Delaware chickens, D, she purchased. Determine algebraically how many of each type of chicken Allysa purchased.
Americana 4 Delaware 8
The vehicle by which presents are transported on Christmas Eve.
What is Santa's Sleigh?
The solution to the system of equations:
y = 3x + 3
y = 3x - 2
What is no solution?
If you are running a race and you pass the person in second place, what place are you in?
Second place (You haven't passed the person in first!)
The solution to the system
x = 4y
5x - 10y = -50
What is (-20, -5)?
A local theater is showing an animated movie. They charge $5 per ticket for a child and $12 per ticket for an adult. They sell a total of 342 tickets and make a total of 2,550. Write a system of equations and use it to find the number of each ticket sold. Let c represent the number of children’s tickets sold and a represent the number of adult tickets sold.
The theater sold 222 children’s tickets and 120 adult tickets.