Solve by Graphing
Solve by Substitution
Solve by Elimination
Definitions
Word 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
In the equation y =mx+b, what letter represents the slope?
What is B?
100
Find the value of two numbers if their sum is 9 and their difference is 3
(6, 3)
x = 6
y = 3
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:
-3x - 5y = 2
3x + 5y = 7
No Solution
200
What's a coefficient?
A number in front of a variable
200
The difference of two numbers is 5 and the sum of those same two numbers is 9. What are the two numbers?
(7,2)
x = 7
y = 2
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
Explain what solving through graphing means
Graphing two lines to find an intersection point, thus solving the system
300
Catalina is hosting a movie night for two days with a discount for seniors and children. On the first day they made $28 from selling 4 children's tickets and 2 senior's tickets. On the second day they made $44 from selling 4 children's tickets and 6 senior's tickets. What is the cost of an individual senior's ticket and what is the cost of an individual children's ticket?
(5, 4)
C = 5
S = 4
400
How many solutions are there?
Infinitely Many Solutions
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
The following equation, 3x + 7y = 12 is an example of a _____ equation
What is linear?
400
The sum of two digits of a certain two-digit number is 5. If you swap the two digits around, the new number is 9 more than the original number. What is that number?
23
2+3 = 5
32-23 = 9
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
Explain the elimination method
Adding or subtracting equations together that have a variable with the same coefficient in order to eliminate the variable
500
A plane flew to Fiji. On the trip there, they were flying with a tailwind at around an average speed of 176mph. The flight back however, they were flying into the wind at an average speed of 98mph. What was the speed of the plane and the speed of the wind?
(137, 39)
Plane = 137
Wind = 39