Graphing Equations
Substitution
Elimination
Graphing Inequalities
Miscellaneous
100
On the grid side of your whiteboard, provide an example of an "inconsistent" system of equations AND determine its number of solutions.
Lines should be parallel. It is no solution.
100
Use substitution to solve the system of equations.
2x - y = 8
y = 2x - 3
No Solution
100
Use elimination to solve the system of equations.
4x + 6y = 32
3x - 6y = 3
Solution (5, 2)
100
Name a solution in the following system of equations graph: 
Example: (2, 0)
100
Find the slope of the line that passes through the pair of points: (5, 3)(-2, 6)
-3/7
200
Use the graph to determine whether the system is consistent or inconsistent and if it is independent or dependent: y = -3x + 1 AND y = x - 3
consistent and independent
200
Use substitution to solve the system of equations.
y = 2x + 1
3x + y = -9
Solution (-2, -3)
200
The sum of two numbers is 24. Five times the first number minus the second number is 12. What are the two numbers?
6 & 18
200
Name a point that is not a solution in the following system of equations graph: 
Example: (-4, 0)
200
Suppose y varies directly as x, and y = -24 when x = 8. Write a direct variation equation that relates x and y.
y = -3x
300
Graph the system and determine the number of solutions that it has. If it has one solution, name it.
y = -3
y = x - 3
One solution (0, -3)
300
Use substitution to solve the system of equations.
y = 3x - 34
y = 2x - 5
Solution (29, 53)
300
Use elimination to solve the system of equations.
5x + 6y = -8
2x + 3y = -5
Solution (2, -3)
300
Provide the slope and y-intercept for y < 1 and y > 3
y < 1 - slope: 0, y-int: 1
y > 3 - slope: 0, y-int: 3
300
f(x) = -x + 4
400
Graph the system and determine the number of solutions that it has. If it has one solution, name it.
x + 2y = 3
x = 5
One solution (5, -1)
400
The sum of the measures of angles X and Y is 180°. The measure of angle X is 24° greater than the measure of angle Y. Find the measure of each angle.
x = 102°, y = 78°
400
Use elimination to solve each system of equations.
8x + 3y = -7
7x + 2y = -3
Solution (1, -5)
400
Provide the criteria below for the following inequalities:
-slope & y-int
-line (solid or dashed)
-shaded (above or below)
1. y <= x + 10
2. y > 6x + 2
1. slope: 1 & y-int: 10, solid line, shaded below
2. slope: 6 & y-int: 2, dashed line, shaded above
400
Find the value of r so the line through the pair of points has the given slope: (7, -10)(r, 4), m = -3
r = 2 1/3 or 7/3
500
Graph the system and determine the number of solutions that it has. If it has one solution, name it.
x = 6 - 3/8y
4 = 2/3x + 1/4y
Infinitely many
500
As of 2009, the New York Yankees and the Cincinnati Reds together had won a total of 32 World Series. The Yankees had won 5.4 times as many as the Reds. How many World Series had each team won?
Cincinnati: 5, New York: 27
500
Use elimination to solve each system of equations.
-0.4x + 0.25y = -2.175
2x + y = 7.5
Solution (4.5, -1.5)
500
Solve the system of inequalities by graphing. Use grid side of white board: 5x - y < -2 AND 5x - y > 6
500
Write the equation of the line that passes through the pair of points: (-1, -3)(-2, 3)
y = -6x - 9