Solving Systems by Graphing
Solving Systems by Substitution
Solving Systems by Combinations
Is It a Solution?
Word Problems
100
Solve the following by graphing y = -x + 5 and y = -2x + 3
(-2,7)
100
Solve the following system using Substitution x = - 4y + 6 and 2x - 3y = 1
(2,1)
100
Solve the following system using combinations
x + 5y = 28 and
x + 2y = 13
(3,5)
100
Is (-4, -2) a solution to the system of equations below?
-3x+2y=8
x+2y=-8
Yes, it is a solution
100
Tickets to a movie cost $5 for adults and $3 for students. A group of friends purchased 18 tickets for $82. How many adult and student tickets did they buy?
14 adult tickets
4 student tickets
200
Solve the following by graphing y = 3x - 5 and y = 7x - 5
(0, -5)
200
Solve the following system using substitution 4x + 3y = 0 and y = -2x - 2
(-3,4)
200
Solve the following system using combinations.
7x - 4y = -30 and
3x + 4y = 10
(-2,4)
200
Is (-2, 1) a solution to the systems of equations below?
x-2y=4
3x+y=5
No, it is not a solution
200
A farmhouse shelters 10 animals, some are pigs and some are ducks. Altogether there are 36 legs. How many pigs and ducks are there?
8 pigs
2 ducks
300
Solve the following system by graphing 2y + 4x = 12 and 2x - y = -10
(-1, 8)
300
Solve the following system using substitution y = 6x + 35 and 5x - 2y = -35
(-5,5)
300
Solve the following system using combinations x - 3y = 6 and 2x + 3y = - 33
(-9,-5)
300
Is (4,2) a solution to the system of equations below?
x+y=3
2y=3x-4
No, it is not a solution
300
The difference of two numbers is 6. There sum is 14. What are the two numbers?
10 and 4
400
Solve the following system by graphing. 4x + 2y = 6 and 3x - 3y = 9
(2,-1)
400
Solve the following system using substitution 3x + 3y = -18 and y = 4x + 14
(-4,-2)
400
Solve the following system using combinations.
x + 3y = -1 and
5x - 4y = -24
(-4,1)
400
Is (-13, 4) a solution to the system of equations below?
4y=-x+3
x+4y=3
Yes, it is a solution.
400
At a store, Eva bought two shirts and 5 hats for $154. Nicole bought 3 same shirts and four same hats for $168. What is the price of each shirt?
$32
500
Solve the following system by graphing y = 4x + 4 and 2y = -3x - 14
(-2,-4)
500
Solve the following system using substitution
4x - 2y = -4 and
7x - 5y = -19
(3,8)
500
Solve the following system using combinations.
3x - 5y = -16 and
2x - 3y = -8
(8,8)
500
Is (20, 52) a solution to the system of equations below?
y=0.75x + 37
y=1.5x+22
Yes, it is a solution.
500
A class of 195 students went on a field trip. They took 19 vehicles, some cars and some buses. If each car holds 5 students and each bus holds 25 students, how many of each vehicle did they take?
5 buses
14 cars