1
Do Now
Solve the following equation and SHOW YOUR CHECK.
-2x - 2(x - 6) = -4x - 4 - 8 + 6x
AIM: Solving Multi-
Step Equations by
Combining Like Terms
2
Homework: Pages 566-567 #1-3 all, 8, 9, 45
3
Anticipatory Set
1.) Find, explain, and correct the mistake in the
following example.
-9x - 4 + 7x + 10 = -20
-2x - 6 = -20
+ 6 + 6
-2x = -14
-2 -2
x = 7
4
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
3.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify by combining like terms.
7p - 6 + 4p = -39
1  
5
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
3.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify by combining like terms.
28 = 16y - 4 - 8y
2  
6
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
3.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify by combining like terms.
-5x + 9 + 2x = -30
3  
7
-5x + 9 + 2x = -30
8
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
3.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify by combining like terms.
8a - 9 - 2 - a = 24
4  
9
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
3.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify by combining like terms.
60 = -2x - 2 - 4x + 20
5  
10
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
3.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify by combining like terms.
-z + 18 + 4z = 6
6  
11
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
3.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify by combining like terms.
9m - 6 + 16 - 14m = -5
7  
12
Tiffany works at Carrabra‛s Restaurant. She works an equal
number of hours on Friday night and on Saturday night. On
Friday night, Tiffany waitresses at the restaurant earning $8
an hour plus $61 in tips. On Saturday, she works as a hostess
earning $10 an hour. Last weekend, Tiffany earned a total of
$187. How many hours did Tiffany work on Friday night as a
waitress at Carrabra‛s Restaurant?
Let x = ______________
13
Before You Leave
Explain, in complete sentences, how you simplify a
multistep equation into a two-step equation.
14
Homework: Pages 566-567 #10-13 all
Mr. Tjersland's Math 7
15
AIM: Solving Multi-Step Equations
by Combining Like Terms
9m - 6 + 16 - 14m = -5
16
9m - 6 + 16 - 14m = -5
17
8a - 9 - 2 - a = 24

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Day 6 combining like terms equations day 2

  • 1. 1 Do Now Solve the following equation and SHOW YOUR CHECK. -2x - 2(x - 6) = -4x - 4 - 8 + 6x AIM: Solving Multi- Step Equations by Combining Like Terms
  • 2. 2 Homework: Pages 566-567 #1-3 all, 8, 9, 45
  • 3. 3 Anticipatory Set 1.) Find, explain, and correct the mistake in the following example. -9x - 4 + 7x + 10 = -20 -2x - 6 = -20 + 6 + 6 -2x = -14 -2 -2 x = 7
  • 4. 4 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 3.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify by combining like terms. 7p - 6 + 4p = -39 1  
  • 5. 5 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 3.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify by combining like terms. 28 = 16y - 4 - 8y 2  
  • 6. 6 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 3.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify by combining like terms. -5x + 9 + 2x = -30 3  
  • 7. 7 -5x + 9 + 2x = -30
  • 8. 8 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 3.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify by combining like terms. 8a - 9 - 2 - a = 24 4  
  • 9. 9 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 3.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify by combining like terms. 60 = -2x - 2 - 4x + 20 5  
  • 10. 10 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 3.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify by combining like terms. -z + 18 + 4z = 6 6  
  • 11. 11 ALGEBRA The Search for Unknowns Objective: Isolate the variable to find its value RULES 3.) Use inverse operations 1.) Keep the equation balanced 2.) Simplify by combining like terms. 9m - 6 + 16 - 14m = -5 7  
  • 12. 12 Tiffany works at Carrabra‛s Restaurant. She works an equal number of hours on Friday night and on Saturday night. On Friday night, Tiffany waitresses at the restaurant earning $8 an hour plus $61 in tips. On Saturday, she works as a hostess earning $10 an hour. Last weekend, Tiffany earned a total of $187. How many hours did Tiffany work on Friday night as a waitress at Carrabra‛s Restaurant? Let x = ______________
  • 13. 13 Before You Leave Explain, in complete sentences, how you simplify a multistep equation into a two-step equation.
  • 14. 14 Homework: Pages 566-567 #10-13 all Mr. Tjersland's Math 7
  • 15. 15 AIM: Solving Multi-Step Equations by Combining Like Terms 9m - 6 + 16 - 14m = -5
  • 16. 16 9m - 6 + 16 - 14m = -5
  • 17. 17 8a - 9 - 2 - a = 24