Systems Study Guide
Presentation
•
Mathematics
•
8th - 9th Grade
•
Medium
+1
Standards-aligned
Kimberlee Joy
Used 3+ times
FREE Resource
6 Slides • 6 Questions
1
By Kimberlee Joy
2
manipulate equation to be in y= or x=
substitute
distribute/CLT/solve
don't forget to find other variable
Solve by Substitution
3
Multiple Choice
Solve the system by substitution.
5x + 4y= −14
7x + y = − 15
4
use a multiplier to create opposite terms
add equations and solve for variable
don't forget to find other variable
Solve by Elimination
5
Multiple Choice
Solve the system by elimination.
−6x + 6y = 0
9x − 8y = 4
(4, −9)
Infinite number of solutions
(−9, 4)
(4, 4)
6
Slope Intercept
y=-3/4x+2
plot y-intercept
use slope to get points
Standard Form
6x-4y=-24
find the x and y intercepts
Solve by Graphing
7
Multiple Choice
Solve this system of equations by graphing.
-x + 2y = 4
y = -3x + 9
(2, 3)
(-2, -3)
(3, 2)
(-3, 2)
8
2 coffees and 2 donuts cost $12
1 coffee and 2 donuts cost $7
Word Problems
9
Generic Total
Money Total
10
Multiple Choice
13.5x - 13y = 6
x - y = 6
3x + 7y = 13.5
3x - 7y = 13.5
11
Multiple Choice
The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. Which system of equations solves this problem to show how many students were in each van and each bus?
11v + 3b = 283
12v + 14b = 770
v + b = 14
v + b = 16
11v + 12v = 283
3b + 14b = 770
v + b = 30
23v + 17b = 1053
12
Multiple Choice
3S + 4A = 1740
4S + 3A = 1740
3S + 4A = 530
4S + 3A = 530
By Kimberlee Joy
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