Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Equations by Substitution
Solving Systems of Linear Equations by Elimination
Random
Substitution or Elimination
200
What is the solution to this system of equations? (15 secs)
(-4,5)
200
What goes into the open parentheses? (15 secs)
y = x - 4
7x - 3y=20
7x - 3( )=20
x - 4
200
Which variable is easier to eliminate? (15 secs)
x + 3y = 5
-x - y = -3
x
200
What is another name for slope? Extra credit if you come up with more than one answer. (30 secs)
Pattern, rise/run, rate of change, answers may vary
200
Which method is easier to solve this system of equations (15 secs):
y=3x+2
3x+3y=5
Substitution Method
400
What is the solution to this system of equations? (15 secs)
Infinite Solutions
400
What goes into the open parentheses? (15 secs)
2x + 9y = 23
-3y+2 = x
2( ) + 9y = 23
-3y+2
400
Which variable is easier to eliminate? (15 secs)
5x - 4y = -7
3x + 2y = 3
y
400
What is the first step to solve this equation (15 secs):
2(6x - 3)=20
Simplify the parentheses.
400
Which method is easier to solve this system of equations (15 secs):
5x+2y=16
4x+2y=14
Elimination Method
600
What is the solution to this system of equations (15 secs):
No Solution
600
Solve the system of linear equations by substitution (3 mins):
x = y + 7
2x + y = 20
(9,2)
600
Which variable is easier to eliminate? And why?(2 mins)
4x - 3y = 12
4x + 6y = 20
Answer may vary
600
What is the opposite operation of division? (15 secs)
multiplication (answers may vary)
600
Pick the method that is easier to solve this system of equations and state why you picked it (2 mins):
2x+y=2
5x+4y=15
Answers may vary
800
Solve the system of linear equations by graphing (3 mins):
x + y = 7
y = x + 3
(2,5)
800
Solve the system of linear equations by substitution (3 mins):
2x - y = - 10
y = x + 7
(-3,4)
800
Solve the system of linear equations by elimination (3 mins):
2x + 3y = -12
2x - 2y = 18
(3,-6)
800
What is the first term and common difference of this sequence of numbers (30 secs):
-2, 4, 10, 16 ,...
First term: -2
Common Difference: 6
800
What is the solution to this system of equations (3 mins):
2x+2y=2
x=4y+6
(2,-1)
1000
Is it possible for a system of linear equations to have exactly two solutions? Explain your reasoning (1 min).
No, two lines cannot intersect in exactly two points.
1000
Solve the system of linear equations by substitution (3 mins):
y - x = 1
2x + 3y = 18
(3,4)
1000
Solve the system of linear equations by elimination (3 mins):
x + 4y = 1
3x + 5y = 10
(5,-1)
1000
What are the x-intercepts and y-intercepts of this line (2 mins):
5x - 3y = 15
X-intercept is (3,0)
Y-intercept is (0,-5)
1000
Solve this system of equations (4 mins):
y - 6x=16
6x+2y=-4
(-2,4)