
Making Substitution Happen!
Presentation
•
Mathematics
•
8th - 11th Grade
•
Practice Problem
•
Medium
Standards-aligned
Monica Calemmo
Used 15+ times
FREE Resource
4 Slides • 12 Questions
1
Making Substitution Happen!
To be able to solve a system of equations by SUBSTITUTION, exactly ONE of the two equations has to be written as x = or y =
This equation is called the Substitution Equation and will be substituted into the other equation in place of x or y
2
Multiple Choice
Which is the Substitution Equation?
A. 2x + y = 5
B. y = 2x - 11
A
B
3
Multiple Choice
Which is the Substitution Equation?
A. x = - 3y -13
B. 4x + 2y = 4
A
B
4
Multiple Choice
Which is the Substitution Equation?
A. x = 2y - 3
B. x + 3y = 22
A
B
5
Multiple Choice
Which is the Substitution Equation?
A. y = 2x + 1
B. 4x + y = 7
A
B
6
How to MAKE a Substitution Equation
If neither equation in your system is written as y = or x = then you have to choose one of the equations that's easy to rewrite as y = or x =
It's easy -
Pick the equation that has an x or y with no number in front of it; then +/- to get that variable by itself
7
Multiple Choice
Which is the Substitution Equation AND how should it be re-written?
A. x - 3y = -13
B. 4x + 2y = 4
A. x = 3y + 13
B. 4x= 2y - 4
A. x = 3y - 13
B. 4x = -2y + 4
8
Multiple Choice
Which is the Substitution Equation AND how should it be rewritten?
A. 3x + 2y = 16
B. 7x + y = 19
A. 2y = 16 + 3x
A. 3x = 16 - 2y
B. y = 19 + 7x
B. y = 19 - 7x
9
10
Multiple Choice
Solve by substitution
x = 2y
x + y = 6
(1, 5)
(-1, 2)
(6, 3)
(4, 2)
11
Multiple Choice
Solve the following system:
−3x+6y=−12
(0, −2)
(0, 2)
(−2, 0)
(2, 0)
12
13
Multiple Choice
y = 2x + 1
y = 4x - 1
14
Multiple Choice
This system has _____ solutions
0
1
2
Infinitely many
15
Multiple Choice
16
Multiple Choice
Making Substitution Happen!
To be able to solve a system of equations by SUBSTITUTION, exactly ONE of the two equations has to be written as x = or y =
This equation is called the Substitution Equation and will be substituted into the other equation in place of x or y
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