Solving Equations - MFM 1P
The Goal: To end up with your variable on one side and a number on the other.
Rule: If you do something to one side, you must also do it to the other.
Time to do some thinking with a partner!
 Write in the hidden steps that I left out. What did I do to both sides of the equation?
 Check that the solution is correct by subbing it back in and checking that the left side = right side
 Write out an explanation of how to solve the equation
Example 1:
x–7=8
Check the answer:
x=8+7
x = 15
Example 2:
3y – 5 = 7
Check the answer:
3y = 7 + 5
3y = 12
y=4
Example 3:
4y + 8 = 2y + 4
Check the answer:
4y – 2y = 4 – 8
2y = – 4
y=–2
Example 4:
3(w – 5) = 2(2w + 1)
3w – 15 = 4w + 2
3w – 4w = 2 + 15
– w = 17
w = 17
Check the answer:
Solving Equations - MFM 1P
Try the following equations on your own and have a partner check the answer for you.
Remember:
 The goal is to end up with your variable on one side and a number on the other.
 If you do something to one side, you must also do it to the other.
Brainstorm:
In your own words, explain all the things that you learned about solving equations from completing this
activity.
Example 5:
2m – 4 = 6
Check the answer:
Example 6:
6n + 8 = 5n – 5
Check the answer:
Example 7:
5x – 4 + 4x = 7 + 2x + 3
Check the answer:
9x – 4 = 2x + 10
Formative #2: Polynomials and Equations
Learning Goal
Name: _______________
Evidence
1. Write three terms that are like the term 10y.
I can identify
like terms
2. Which of the following terms is like the term 6a2?
A 2a2
B 2a
C 6a2b
3. Simplify the following:
a. 12y2 + 4y + 6y – 2y2
I can add and
subtract
polynomials by
collecting like
terms
b. (2x2 + 10x – 5) + (3x2 – 4x + 8)
c. (9x2 + 5x + 4) – (2x2 + 3x – 3)
4. Expand the following:
I can simplify
polynomial
expressions by
using my
knowledge of
multiplication
a.
2(4a2 + 3a – 6)
b.
4x(2x + 1)
D 2a6
5.
Solve the following equations for the unknown variable. Don’t forget to check
your answer!
a.
3n + 1 = 13
b.
2y + 4 = y + 9
c.
4m + 3 = 2m + 9
I can solve
equations
involving two
variables
I begin work quickly and use
my class time productively…
I complete the assigned
homework…
I come to class prepared and
keep track of all handouts…
I seek help when needed and
keep a positive attitude...
I set goals and reflect on my
learning in my journal ...
I help out others when I can
and respect their ideas...
Excellent
Good
Satisfactory
Needs Improvement
All of the time
Most of the time
Some of the time
Rarely
All of the time
Most of the time
Some of the time
Rarely
All of the time
Most of the time
Some of the time
Rarely
All of the time
Most of the time
Some of the time
Rarely
All of the time
Most of the time
Some of the time
Rarely
All of the time
Most of the time
Some of the time
Rarely
Reflect on your learning skills so far this semester: