

Systems Study Guide
Presentation
•
Mathematics
•
9th Grade
•
Medium
Standards-aligned
Kimberlee Joy
Used 15+ times
FREE Resource
5 Slides • 4 Questions
1
Systems Study Guide
1) Substitution
2) Elimination
3) Graphing with Intercepts
4) Word Problem Set Up

2
Substitution
1) manipulate 1 equation to be isolated
2) substitute into other equation and solve
3) back-substitute to find remaining variable
3
Multiple Choice
Practice solving the system by SUBSTITUTION:
-5x + y = -2
-3x + 6y = -12
(-2,0)
(0,-2)
(2,0)
(-2,0)
4
ELIMINATION
1) multipliers to both top and bottom to create opposites
2) add the 2 equations and solve
3) back-substitute to find remaining variable
5
Multiple Choice
Practice solving the system by ELIMINATION:
-5x + 2y = 32
2x + 3y = 10
(-4,6)
(14,-6)
(2,2)
(-2,11)
6
GRAPHING (USING INTERCEPTS)
1) plot the x and y intercepts for the first equation
2) plot the x and y intercepts for the second equation
3) find point of intersection
7
Multiple Choice
Practice solving system by GRAPHING:
2x + y = 2
2x - 3y = 18
no solution
(-4,3)
(3,-4)
(4,-6)
8
SET UP FOR WORD PROBLEM
1) generic totals: x + y = total
2) money totals: #x + #y = $total
9
Multiple Choice
Tickets for a Valentine's Dance cost $3 for individuals or $5 for couples. 180 tickets were sold and $475 collected. Set up a system.
x + y = 475
3x + 5y = 180
3x + 5y = 475
x + y = 180
3x + 5y = 180
3x + 5y = 475
3x + 5x = 180
3y + 5y = 475
Systems Study Guide
1) Substitution
2) Elimination
3) Graphing with Intercepts
4) Word Problem Set Up

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