Solve by Graphing
Solve by Substitution
Solve by Elimination
Word problems
Wind and Water current problems
100
What is the solution?
(-1,1)
100
Solve the systems of equations using substitution:
-3x + 4y = -2
y = -5
(-6, -5)
100
Solve the systems of equations using Elimination:
14x + 2y = 26
-14x - 6y = -50
(1, 6)
100
Sam has 30 nickels and dimes worth $2.40. How many nickels does he have?
12 nickels
100
In a canoe race, a team paddles downstream 480 m in 60 seconds. The same team makes the trip upstream in 80 seconds. Find the team's rate in still water and the rate of the current.
7 m/s and 1 m/s
200
How many solutions are there?
No Solutions
200
Solve the systems of equations using substitution:
-5x - 5y = 10
y = -4x -17
(-5, 3)
200
Solve the systems of equations using Elimination.
4x - 5y = 0
8x + 5y = -60
(-5, -4)
200
Steve has $3 more than twice as much as Tracy. Together they have $57. How much does each have?
Steve: $39
Tracy $18
200
The 4200 km trip from New York to San Francisco takes 6 h flying against the wind but only 5 h returning. Find the speed of the plane in still air and the speed of the wind.
in still air, 770 km/h
wind, 70 km/h
300
Solve Using Graphing:
y = 5/3x + 2
y = -3
300
Solve the systems of equations using substitution:
y = -2x - 9
3x -6y = 9
(-3, -3)
300
Solve the systems of equations using Elimination:
-6x - 10y = 4
6x + 10y = 0
No Solution
300
Tickets for the senior class play cost $4 for adults and $2 for students. This year there were 600 tickets sold, and the class made $1900. How many of each type of ticket were sold?
350 adult
250 student
300
The 1080 km trip from Madrid to Paris takes 2 hours flying against the wind and 1.5 hours flying with the wind. Find the speed of the plane in still air and the speed of the wind.
in still air, 630 km/h
wind 90 km/h
400
Solve by graphing.
x - 2y = 9
3x - y = 7
(1, -4)
400
Solve the systems of equations using substitution:
-8x - 5y = -24
-x + y = 10
(-2, 8)
400
Solve the systems of equations using Elimination:
-3x - 24y = -66
3x + 4y = -14
(-10, 4)
400
Marty invested $9000 in stocks and bonds. The stocks paid 5% and the bonds 8%, giving an annual income of $525. How much did he invest in bonds?
$2500
400
Len is planning a 3-hour trip down the Allenem River and back to his starting point. He knows that he can paddle in still water at 3 mi/h and that the rate of the current is 2 mi/h. How much time can he spend going downstream?
0.5 hours
500
Solve the systems of linear equations by graphing:
500
Solve the systems of equations using substitution:
-8x + y = -7
16x - 2y = 14
Infinitely Many Solutions
500
Solve the systems of equations using Elimination:
-15x + 6y = -36
8x - 6y = 22
(2, -1)
500
Lisa and Beverly had just $5 to spend for an after-school snack. They could have bought 2 hamburgers and 1 carton of milk with no change back or 1 hamburger and 2 cartons of milk with 40 cents change back. How much does a carton of milk cost?
$1.40
500
A motorboat goes 36 km downstream in the same amount of time that it takes to go 24 km upstream. If the current is flowing at 3 km/h, what is the rate of the boat in still water?
15 km/h