Solve by Graphing
Solve by Substitution
Solve by Elimination
Systems Trivia
Inequalities // Words
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
Is the given point a solution to the system of equations?
Point: (2,6)
x + y = 8
3x - y = 0
Yes
100
12 tacos and 4 small sodas cost $18. 7 tacos and 3 small sodas cost $11.30. Identify what your two variables should represent.
price of taco and price of small soda
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
Is the given point a solution to the system of equations?
Point: (1/2, -2)
6x + 5y = -7
2x - 4y = -8
No
200
25 coins, consisting of nickels and dimes, total $1.65. Write two equations, if x = # of nickels and y = # of dimes.
x + y = 25
.05x + .10y = 1.65
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
-3x - 5y = 7
No Solution
300
What is true of the graph of a system of equations with no solution?
They are parallel
-or-
They have the same slope, but different intercepts
300
12 tacos and 4 small sodas cost $18. 7 tacos and 3 small sodas cost $11.30. If x = price of taco and y = price of small soda, write two equations.
12x + 4y = 18
7x + 3y = 11.30
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:
x + 8y = 22
3x + 4y = -14
(-10, 4)
400
What would you multiply the top equation by if you wanted to eliminate the "x" terms:
0.3x - 0.2y = -2.1
0.6x + 1.3y = 0.9
-2 or 2
400
Write a system of inequalities to represent the graph:
y > -x - 3
y > 2x + 3
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:
-5x + 2y = -12
4x - 3y = 11
(2, -1)
500
What does it mean if a system of equations has infinite solutions?
The lines are the same.
500
A plane flies 1,992 miles in 4 hours with the wind. If x = plane's speed and y = wind speed, write an equation.
x + y = 498