Solutions
Is (3,1) a solution of y=3x+1. CANNOT USE DESMOS
What is No?
What is the quadrant in which the solution to the following system lies:
y = x + 4
y = 2x + 5
What is II
r + s = -6
r - s = -10
x = 4y
2x + 3y = 22
The admission fee at a small fair is $2 for children and $4 for adults. On a certain day, 800 people enter the fair and $2500 is collected. How many children and how many adults attended?
What is 350 children and 450 adults?
Is (2,3) the solution of the following system? CANNOT USE DESMOS!
2x-9y=-23
3x+y=9
What is Yes.
y = 3x - 2
y = -x - 2
8a + 5b = 9
2a - 5b = -4
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?
When looking at a graph, one can tell the solution to the system of equations is infinitely many solutions if the lines are what?
What is on top of each other (coincide)?
y = -3
x = 5
2x + 3y = 6
3x + 5y = 15
The solution to the system
y = 3x - 1
-6x + 2y = 36
What is No Solution
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?
Is (4,1) a solution to the following system?
y>-2x+3
y<3x+1
What is Yes?
y = (1/3)x - 3
2x - y = 8
The solution to the system
2a - 4b = 12
-8a + 16b = -48
What is infinitely many solutions?
The solution to the system
x + 4y = 19
3x - 7y = 0
What is (7, 3)
Teresa went Christmas shopping and bought 5 sweaters and 4 pairs of jeans for $60. Samuel went shopping as well and bought 4 sweaters and 2 pairs of jeans for $39. How much did it cost for a sweater and a pair of jeans?
What is $6 for sweater and $7.50 for jeans?
Is (3,-3) a solution to the system of inequalities?
y<-2x+3
y<3x+1
What is No?
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)
The solution to the system
2x = 5y + 12
y =4x - 6
What is (1, -2)?
John starts a snow blowing business. In his business, he has expenses and revenue. John’s expenses include the cost of the snow blower $150 and cost of gas per driveway $3. His revenue is $30 per driveway. At what point will John’s revenue exceed his expenses?
What is 6 driveways?