1
Do Now
AIM: Solving Multi-
Step Equations by
Combining Like
Terms
2
x
1 ­1
­x
a.) -3x + 3 + x - 1 - 2
­x ­x
­x
1
1
1
x­1
­1
­1
3
Terms: are numbers, variables, or products of numbers
and variables. Terms in an expression are separated by
addition and subtraction symbols.
(Example: 3x + 5 + x - 7)
Coefficients: A number that is multiplied by a variable.
(Example: 4x, 4 is the coefficient)
Like Terms: terms with the same variable raised to the
same power.
4
x
1 ­1
­x
b.) 3 - 4x - 5 + 2x
1
1
1­x ­x
­x ­x
­1
­1
­1
­1
­1
x x
5
Simplify the following by combining like terms.
c.) -9 + 10x - 15 - 4x - 11x
d.) 5x - 4x - 10 - x + 10
6
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
2.) Use inverse operations
1.) Keep the equation balanced
12x - 7 - 3x = 11
Create a rule that we need to add to be
able to solve an equation like this.
7
x
1 ­1
­x
12x - 7 - 3x = 11
8
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
2.) Use inverse operations
1.) Keep the equation balanced
-2b + 7 - 3b = 2
9
x
1 ­1
­x
-2b + 7 - 3b = 2
­x ­x
1
1
1
1
1
1
1
­x
­x
­x
1
1
10
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
2.) Use inverse operations
1.) Keep the equation balanced
-15 = -5y + 1 + 3y
11
x
1 ­1
­x
-15 = -5y + 1 + 3y
­1 ­1 ­1
­1 ­1 ­1
­1 ­1 ­1
­1 ­1 ­1
­1 ­1 ­1
­x ­x
­x ­x
­x
1
x x
x
12
-15 = -5y + 1 + 3y
CHECK
13
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
2.) Use inverse operations
1.) Keep the equation balanced
9 - 9x + 6x - 15 = -45
14
x
1 ­1
­x
9 - 9x + 6x - 15 = -45
15
9 - 9x + 6x - 15 = -45
CHECK
16
BEFORE YOU LEAVE
How would you explain today's
lesson to a student who was
absent today?
AIM: Solving Multi-
Step Equations by
Combining Like Terms
17
Homework: Pages 566-567 #1-3 all, 8, 9, 45
Mr. Tjersland's Math 7
18
12x - 7 - 3x = 11
AIM: Solving Multi-Step Equations by
Combining Like Terms
19
12x - 7 - 3x = 11
CHECK
20
-15 = -5y + 1 + 3y

Day 5 combining like terms equations

  • 1.
    1 Do Now AIM: SolvingMulti- Step Equations by Combining Like Terms
  • 2.
    2 x 1 ­1 ­x a.) -3x+ 3 + x - 1 - 2 ­x ­x ­x 1 1 1 x­1 ­1 ­1
  • 3.
    3 Terms: are numbers,variables, or products of numbers and variables. Terms in an expression are separated by addition and subtraction symbols. (Example: 3x + 5 + x - 7) Coefficients: A number that is multiplied by a variable. (Example: 4x, 4 is the coefficient) Like Terms: terms with the same variable raised to the same power.
  • 4.
    4 x 1 ­1 ­x b.) 3- 4x - 5 + 2x 1 1 1­x ­x ­x ­x ­1 ­1 ­1 ­1 ­1 x x
  • 5.
    5 Simplify the followingby combining like terms. c.) -9 + 10x - 15 - 4x - 11x d.) 5x - 4x - 10 - x + 10
  • 6.
    6 ALGEBRA The Search forUnknowns Objective: Isolate the variable to find its value RULES 2.) Use inverse operations 1.) Keep the equation balanced 12x - 7 - 3x = 11 Create a rule that we need to add to be able to solve an equation like this.
  • 7.
  • 8.
    8 ALGEBRA The Search forUnknowns Objective: Isolate the variable to find its value RULES 2.) Use inverse operations 1.) Keep the equation balanced -2b + 7 - 3b = 2
  • 9.
    9 x 1 ­1 ­x -2b +7 - 3b = 2 ­x ­x 1 1 1 1 1 1 1 ­x ­x ­x 1 1
  • 10.
    10 ALGEBRA The Search forUnknowns Objective: Isolate the variable to find its value RULES 2.) Use inverse operations 1.) Keep the equation balanced -15 = -5y + 1 + 3y
  • 11.
    11 x 1 ­1 ­x -15 =-5y + 1 + 3y ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­1 ­x ­x ­x ­x ­x 1 x x x
  • 12.
    12 -15 = -5y+ 1 + 3y CHECK
  • 13.
    13 ALGEBRA The Search forUnknowns Objective: Isolate the variable to find its value RULES 2.) Use inverse operations 1.) Keep the equation balanced 9 - 9x + 6x - 15 = -45
  • 14.
    14 x 1 ­1 ­x 9 -9x + 6x - 15 = -45
  • 15.
    15 9 - 9x+ 6x - 15 = -45 CHECK
  • 16.
    16 BEFORE YOU LEAVE Howwould you explain today's lesson to a student who was absent today? AIM: Solving Multi- Step Equations by Combining Like Terms
  • 17.
    17 Homework: Pages 566-567#1-3 all, 8, 9, 45 Mr. Tjersland's Math 7
  • 18.
    18 12x - 7- 3x = 11 AIM: Solving Multi-Step Equations by Combining Like Terms
  • 19.
    19 12x - 7- 3x = 11 CHECK
  • 20.
    20 -15 = -5y+ 1 + 3y