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Solving Systems of Equations
Is this ordered pair a solution of xy = 3 and 2x + y = 0 (1, 2)
Is this ordered pair a solution of xy = 3 and 2x + y = 0 (1, 2)
Yes
Is this ordered pair a solution of x=2y+1 and y=x (1, 1)
Is this ordered pair a solution of x=2y+1 and y=x (1, 1)
Yes
Is this ordered pair a solution of 4xy=3 and 3y6x=6 (2,11)
Is this ordered pair a solution of 4xy=3 and 3y6x=6 (2,11)
No
What does it mean if (3,2) is a solution of y=x1 and y=x+5
What does it mean if (3,2) is a solution of y=x1 and y=x+5
(3,2) is where the lines intersect
Tell whether (5, 6) is a solution of x2y = 7 and yx=2
Tell whether (5, 6) is a solution of x2y = 7 and yx=2
No
Solve y=x3 and y=x+5 by graphing
Solve y=x3 and y=x+5 by graphing
(4,1)
Solve 4x+y=1 and y4=x by graphing
Solve 4x+y=1 and y4=x by graphing
(1, 3)
Solve y2=1/3x and 3y=2x3 by graphing
Solve y2=1/3x and 3y=2x3 by graphing
(3, 1)
Solve y3x =2 and y= 2x8 by graphing
Solve y3x =2 and y= 2x8 by graphing
(2, 4)
Solve y5 = 1/2x and x=y2 by graphing
Solve y5 = 1/2x and x=y2 by graphing
(2, 4)
Solve y=x +1 and x + y = 7 by substitution
Solve y=x +1 and x + y = 7 by substitution
(3, 4)
Solve y=x+3 and 2x+y=9 by substitution
Solve y=x+3 and 2x+y=9 by substitution
(2, 5)
Solve y2=3x and 3x2y= 13 by substitution
Solve y2=3x and 3x2y= 13 by substitution
(3, 11)
Solve 3x  2y = 4 and x + 4y = 34 by substitution
Solve 3x  2y = 4 and x + 4y = 34 by substitution
(6, 7)
Solve 3y 4x = 29 and 2y + 5x = 4 by substitution
Solve 3y 4x = 29 and 2y + 5x = 4 by substitution
(2, 7)
What is the solution of 4x + y =1 and 2y  2 = 8x
What is the solution of 4x + y =1 and 2y  2 = 8x
Infinitely Many Solutions
What is the solution of 8y  6x = 48 and 2y = 3/2 x 12
What is the solution of 8y  6x = 48 and 2y = 3/2 x 12
No Solution
What is the solution of y = 2/3x +7 and 3y = 2x  3
What is the solution of y = 2/3x +7 and 3y = 2x  3
No Solution
What is the solution of 5y  4x = 5 and 10y + 10 = 8x
What is the solution of 5y  4x = 5 and 10y + 10 = 8x
Infinitely Many Solutions
How many solutions does y = 6x + 10 and y = 6x + 3 have
How many solutions does y = 6x + 10 and y = 6x + 3 have
0 solutions
Leslie joins a fitenss club that has a membership fee of $20 plus $15 per month. Rashad's club has a fee of $40 and charges $10 per month. In how many months will the two clubs cost the same?
Leslie joins a fitenss club that has a membership fee of $20 plus $15 per month. Rashad's club has a fee of $40 and charges $10 per month. In how many months will the two clubs cost the same?
4 months
Tank A contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. Tank B contains 100 gallons of water and is decreasing at a rate of 8 gallons per minute. In how many minutes will the tanks contain the same amount of water? How much water will that be?
Tank A contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. Tank B contains 100 gallons of water and is decreasing at a rate of 8 gallons per minute. In how many minutes will the tanks contain the same amount of water? How much water will that be?
5 min; 60 gal
Taxi company A charges $4 plus $0.50 per mile. Taxi company B charges $5 plus $0.25 per mile. Write a system of equations that could be used to represent this situation.
Taxi company A charges $4 plus $0.50 per mile. Taxi company B charges $5 plus $0.25 per mile. Write a system of equations that could be used to represent this situation.
y = 0.5 x + 4 and y = 0.25x + 5
The sum of two numbers is 50. The first number is 43 less that twice the second number. Write and solve a system of equations to find the two numbers.
The sum of two numbers is 50. The first number is 43 less that twice the second number. Write and solve a system of equations to find the two numbers.
x + y = 50 and x = 2y  43 19 and 31
Sally spent $14.85 to by 13 flowers. She bought lilies, which cost $1.25 and tulips, which cost $0.90 each. How many of each flower did sally buy?
Sally spent $14.85 to by 13 flowers. She bought lilies, which cost $1.25 and tulips, which cost $0.90 each. How many of each flower did sally buy?
9 lilies, 4 tulips
Matt has $100 in a checking account and deposits $20 per month. Ben has $80 in a checking account and deposits $30 per month. Will the accouonts ever have the same balance? Explain
Matt has $100 in a checking account and deposits $20 per month. Ben has $80 in a checking account and deposits $30 per month. Will the accouonts ever have the same balance? Explain
Yes, the graphs have two different slopes, so they will intersect
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What Would You Like To Risk?
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Go To The Final Question
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