1. 1
Do Now
OBJECTIVE: How do we solve multi-step
equations?
Solve the following equations and SHOW CHECKS!
a.) -5(x + 2) = -15 b.) 4x + 14 = -3x - 35

2. 2
Homework: Pages 570-571 #14, 15, 19, 21, 23, 25, 27, 32, 40-43all

3. 3
Anticipatory Set
Given a multi-step equation list the steps you would
take to get x by itself.
1.) Distributive Property, if needed
2.) Combine Like Terms, if needed
3.) Move Variables to One
Side, if needed
4.) Use Inverse Operations to
Isolate the Variable

4. 4
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
4.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
-16 = 6a + 8 - 2a

5. 5
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
4.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
4(x - 5) = 20

6. 6
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
4.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
2(x + 5) - 7 = 3(x - 2)

7. 7
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
4.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
25g = 10g - 30

8. 8
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
4.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
9 - 7g = 5g - 15

9. 9
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
4.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
-y + 9y = 6y - 22

10. 10
-y + 9y = 6y - 22

11. 11
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
4.) Use inverse operations
1.) Keep the equation balanced
2.) Simplify each side by combining like terms and
using the distributive property.
3.) Move variable to one side using inverse operations.
-2(2x + 4) = 3(2x - 6)

12. 12
Before You Leave
Trade-A-Problem
With your group, create an equation similar to one from today's
notes. We will then trade with another group and solve.

13. 13
Homework: Homework Sheet
Mr. Tjersland's Math 7