Solution or Not? |
#1 |
Is this ordered pair a solution of x-y = -3 and 2x + y = 0 (-1, 2) |
Yes |
#2 |
Is this ordered pair a solution of x=2y+1 and y=x (-1, -1) |
Yes |
#3 |
Is this ordered pair a solution of 4x-y=-3 and 3y-6x=6 (2,11) |
No |
#4 |
What does it mean if (3,2) is a solution of y=x-1 and y=-x+5 |
(3,2) is where the lines intersect |
#5 |
Tell whether (-5, -6) is a solution of x-2y = 7 and y-x=2 |
No |
Word Problems |
#1 |
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 |
#2 |
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 |
#3 |
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 |
#4 |
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 |
#5 |
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 |