Moaga
Two linear equations are given -9y = 15x - 3 and 3y + 5x = 1. What do the two linear equations have in common?
What is: The equations represent the same line?
A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? What is the speed of the current?
What is the boat traveled at 26 mph and current speed is 2 mph.
Solve: y = -2x β 6
y = 3x + 9
What is (-3,0)?
Solve: y = 3/2 π₯ + 4
y = 5x β 35
What is (9,10)?
If we need to solve the equation 10x - 15 = 6x -43, how many solutions will the system of equations have?
What is: Exactly one solution?
Two linear equations are given. 7y = 3x - 14 and -4y + x = 8. What do the two linear equations have in common?
What is: the y-intercept?
Kim spent $56 on eating utensils. Spoons cost $6 and forks cost $5. If she bought a total of 10 then how many of each kind did she buy?
What is 6 spoons and 4 forks?
Solve: y = x + 1
y = -4x + 10
What is: (9/5, 14,5)?
π₯ = β4 β 2π¦ 3π₯ β 4π¦ = 18
What is (2,-3)?
If 4(x - 5) = 20, what is the value of x?
What is: x = 10?
At the Quartz Farm there are 1414 as many lemon trees as there are orange trees. There are a total of 9090 trees on the farm.
How many lemon trees are on the farm?
What is: 18 lemon trees?
Solve: -2x + y = 6
y = -4x β 12
What is (-3,0)?
A business owner wants to have the front window of her store painted and is considering two artists for the job. Sophia has quoted a flat rate of $88 for the job. Meg's quote is $9 per hour, plus $79 to cover the cost of materials. Depending on how long it takes Meg to paint the window, these two could end up charging the same amount. How much would it cost? How long would Meg have to take?
What is $88 for 1 hour?
Solve: π¦ = 1/2 π₯ + 2
π¦ = βπ₯ β 1
What is (-2,1)?
How many solutions will this equation have: 2x + x + 8 = 3x - 2?
What is: No solution?
Blain is two years older than three times Jillian's age. Jillian is also 16 years younger than Blain. How old is Blain?
What is: 23 years old?
Dalton just got his commercial driver's license and is starting a new career as a truck driver. Getting trained and licensed involved a one-time cost of $501. Gas and insurance end up costing him $2 per kilometer. For his first delivery, Dalton will get paid $378 plus $3 per kilometer that he drives. If he drives a certain distance on this delivery, Dalton will break even, making back all the money he had to spend. What distance would he have to drive? How much would both the costs and the earnings be?
If Dalton drives kilometers, the costs and the earnings would both be $.
What is 123 k @ $747?
The Kensington Tigers are having team shirts made. One option is to pay Peter's Tees a $32 setup fee and then buy the shirts for $5 each. Another option is to go to City Printing, paying $34 for a setup fee and an additional $4 per shirt. The team parent in charge of the project notices that, with a certain number of shirts, the two options have the same cost. How many shirts is that? What is the cost?
What is 2 shirts for $42?
Sophia and her sister Mia are making baby blankets to sell at a boutique. Sophia has already completed 6 blankets and can finish 7 more blankets per day. Mia has already completed 5 blankets and can finish 8 more blankets per day. At some point, they will have completed the same number of blankets. How long will that take? How many blankets will each woman have made?
After __ days, each woman will have finished __ blankets.
What is: After 1 days, each woman will have finished 13 blankets?
A theater company charges $18 for a ticket to see a play if purchased at the theater's box office. If someone buys the tickets online, the cost is $18 per ticket plus a charge of an extra $3 for the transaction.
What two equations would represent the cost of buying tickets at the box office (equation 1) and online (equation 2)?
What is: C = 18t for the box office and C = 18t + 3 for online?
Two spiders are climbing up a wall. The first spider is at a height of 8 feet from the ground and climbs at a speed of 6 feet per minute. The second spider is at a height of 20 feet from the ground and climbs 3 feet every minute. After what time, in minutes, will the spiders be at the same height on the wall?
Solve: -7x -2y=-13
x-2y=11
What is: (3,-4)
Linda and Donald, both teachers, are adding books to their class libraries. Linda's classroom started out with a collection of only 12 books, but she plans to purchase an additional 3 books per week. Donald's library started out with 15 books, and he has enough money in his budget to purchase another 2 books per week. At some point, the two teachers' libraries will contain the same number of books. How many books will each class have? How many weeks will that take?
The two teachers' libraries will each have __ in __ weeks.
What is: The two teachers' libraries will each have 21 in 3 weeks.
A bride-to-be had already finished assembling 10 wedding favors when the maid of honor came into the room to help. The bride assembles at a rate of 3 favors per minute. In contrast, the maid of honor works at a speed of 5 favors per minute. Eventually, they will both have assembled the same number of favors. How many favors will each have made? How long will that take?
The bride-to-be and her maid of honor will each have made __ favors in __ minutes.
What is The bride-to-be and her maid of honor will each have made 25 favors in 5 minutes.
Solve: y=4x+3
y=-x-2
What is (-1,-1)?