#1
-10x+y=12
-2x-2y=-2
(-1, 2)
26=2x-4y
-1=2y-5x
(-3,-8)
A class of 195 students went on a field trip. They took 7 vehicles, some cars and some buses. Find the number of cars and the number of buses the took if each car holds 5 students and each bus holds 45 students.
There are 4 Buses and 3 cars.
What are Ms. Bena and Ms. Gould's favorite color?
PURPLE.
Mia’s motorboat took 3 hr to make a trip downstream with a 6-mph current. The return trip against the same current took 5 hr. Find the speed of the boat in still water.
The speed of the boat in still water is 24 mph.
8x+y=-27
-9x+4y=15
(-3, -3)
9y+18=-9x
-18/25y-7/25x=1
(-1,-1)
9/2x+4y=5
1/4x-1/2y=1
(2, -1)
Solve Using Graphing:
y = -x - 1
y = 2x - 4
(1, -2)
There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?
There are 6 chickens and 7 pigs.
1/2x+1/3y=4
1/4x-1/2y=1
(7, 3/2)
A coin purse contains a mixture of 15 coins in dimes and quarters. The coins have a total value of $3.30. Determine the number of dimes and quarters in the purse.
There are 3 dimes and 12 quarters in the purse.
The tens digit in a two-digit number is 2 greater than the ones digit. If we reverse the digits, we obtain a new number that, when added to the original number, results in a sum of 176. Find this number.
The number is 97.
1/2x+1/3y=3
1/4x-1/2y=1
(11/2,3/4)
Joey and Natasha start from the same point and walk in opposite directions. Joey walks 2 km/h faster than Natasha. After 3 hours, they are 30 kilometres apart. How fast did each walk?
This means that Natasha walks at 4 km/h and Joey walks at 6 km/h.
Write the equation of a line with a slope of undefined and point (-9, 7).
x = -9
x+2y=5
3x-4y=1
(11/5,7/5)
How many gallons, to the nearest hundredth, of cream that is 22% fat must be mixed with milk that is 6% fat to produce 30 gallons of cream that is 8% fat?
3.75 gallons
y = -4x + 13
5x + 5y = 20
(3,1)
\frac{5}{6}(x+2)+\frac{2}{4}y=-10
3(x+2)+4y=8
(-26,20)