

Systems of Equations
Presentation
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Medium
Standards-aligned
Jeffrey Yost
Used 5+ times
FREE Resource
4 Slides • 11 Questions
1
Solving Systems of Equations: Linear Systems
2
Systems of Linear Equations.
You can solve Systems of Linear Equations by Graphing and finding the Intersections.
A System of Linear Equations can have 1 solution - no solutions - or infinitely many solutions (Depending on how many times they intersect).
Subject | Subject
Some text here about the topic of discussion
3
Different types of solutions
1. One solution: The solution is where the points intersect
2. No solution: The lines will never intersect so this system does not have an answer
3. Infinite solutions: The lines have the same equation.
4
Multiple Choice
Infinite number of solutions
(3, 3)
(3, -3)
(-3, 3)
5
Multiple Choice
Solve the following system of Equations. What is the solution?
(1, 2)
(-1, 2)
(2, 1)
(2, -1)
6
Multiple Choice
Solve the System of Equations:
8x + 4y = 12
y = -2x + 6
(0,3)
(3,0)
No solution
Infinitely many solutions
7
Multiple Choice
(6, 3)
(3, 6)
(-6, 3)
No solution
8
Multiple Choice
no
1
2
Infinitely many
9
Dropdown
10
Match
Match the following graphs to the correct type of solutions
No solutions
Infinitely Many Solutions
One Solution
No solutions
Infinitely Many Solutions
One Solution
11
Multiple Choice
How many solutions does this system have?
y = 2x + 1
y = 4x - 1
One Solution
No Solution
Infinite Solutions
12
Multiple Choice
How many solutions does this system of equations have?
8x + 4y = 12
y = -2x + 3
2
1
No solutions (parallel lines)
Infinitely many solutions
13
Read Directions Carefully.
Sometimes you may be asked for only one of the variables in the solution or you could be asked for the # of solutions or the actual solutions.
Be sure to read the question carefully, so that you understand what you are being asked to do.
Subject | Subject
Some text here about the topic of discussion
14
Multiple Choice
What is the x - coordinate of the solution:
3x + 2y = 16
7x + y = 19
-5
-2
5
2
15
Multiple Choice
What is the y - coordinate of the solution?
-4
4
0
5
Solving Systems of Equations: Linear Systems
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