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1
Do Now
OBJECTIVE: How do we solve equations with
variables on both sides?
Weekly Quiz #7
2
Solve the following equations and SHOW
YOUR CHECKS!
a.) -2(x - 5) = -16
b.) -4x - 6 - 2x + 12 = -6
Weekly Quiz #7
3
4
Anticipatory Set
Anticipatory Set: In a complete sentence, describe
how you would use inverse operations to eliminate
having variables on both sides.
49 + 3x = 4x + 14
How do we move terms from one side of the
equation to another?
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 each side by combining like terms and
using the distributive property.
4x - 5 = 2x + 15
6
4x - 5 = 2x + 15
7
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 each side by combining like terms and
using the distributive property.
9x = 6x + 21
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 each side by combining like terms and
using the distributive property.
2k = 18 - 4k
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 each side by combining like terms and
using the distributive property.
-5y - 14 = 2y
10
-5y - 14 = 2y
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 each side by combining like terms and
using the distributive property.
3x = 5x + 18
12
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 each side by combining like terms and
using the distributive property.
8w - 9 = 3w + 16
13
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 each side by combining like terms and
using the distributive property.
-12x - 10 = -6x + 14
14
-12x - 10 = -6x + 14
15
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 each side by combining like terms and
using the distributive property.
49 - 3x = 4x + 14
16
Before You Leave
Describe, in a complete sentence, how you would
decide which variable term to add or subtract on
both sides of the equation -3x + 7 = 4x - 9.
17
Homework: Pages 570-571 #4, 5, 8-12 all, 20, 35-39 all
Mr. Tjersland's Math 7

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Solving Equations Using Inverse Operations

  • 1. 1 Do Now OBJECTIVE: How do we solve equations with variables on both sides? Weekly Quiz #7
  • 2. 2 Solve the following equations and SHOW YOUR CHECKS! a.) -2(x - 5) = -16 b.) -4x - 6 - 2x + 12 = -6 Weekly Quiz #7
  • 3. 3
  • 4. 4 Anticipatory Set Anticipatory Set: In a complete sentence, describe how you would use inverse operations to eliminate having variables on both sides. 49 + 3x = 4x + 14 How do we move terms from one side of the equation to another?
  • 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 each side by combining like terms and using the distributive property. 4x - 5 = 2x + 15
  • 6. 6 4x - 5 = 2x + 15
  • 7. 7 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 each side by combining like terms and using the distributive property. 9x = 6x + 21
  • 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 each side by combining like terms and using the distributive property. 2k = 18 - 4k
  • 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 each side by combining like terms and using the distributive property. -5y - 14 = 2y
  • 10. 10 -5y - 14 = 2y
  • 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 each side by combining like terms and using the distributive property. 3x = 5x + 18
  • 12. 12 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 each side by combining like terms and using the distributive property. 8w - 9 = 3w + 16
  • 13. 13 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 each side by combining like terms and using the distributive property. -12x - 10 = -6x + 14
  • 14. 14 -12x - 10 = -6x + 14
  • 15. 15 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 each side by combining like terms and using the distributive property. 49 - 3x = 4x + 14
  • 16. 16 Before You Leave Describe, in a complete sentence, how you would decide which variable term to add or subtract on both sides of the equation -3x + 7 = 4x - 9.
  • 17. 17 Homework: Pages 570-571 #4, 5, 8-12 all, 20, 35-39 all Mr. Tjersland's Math 7