The document provides instruction on solving multi-step equations using the distributive property. It begins with an objective and rules for solving equations. It then works through examples of distributing terms in parentheses and isolating variables. The examples become increasingly complex. It concludes with having students trade and solve equations with a partner.
3. ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify by combining like terms.
3.) Use inverse operations
Create a rule that we need to add to be
able to solve an equation like this.
3(x + 4) = 36
3
5. ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify by combining like terms.
3.) Use inverse operations
-6(x + 3) = 12
5
7. ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify by combining like terms.
3.) Use inverse operations
2(x - 4) = 40
7
8. ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify by combining like terms.
3.) Use inverse operations
-4(x - 4) = 20
8
9. SMART Document Camera
ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify by combining like terms.
3.) Use inverse operations
-30 = -5(x + 3)
9
10. ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify by combining like terms.
3.) Use inverse operations
-30 = -6(x + 5)
10
11. ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify by combining like terms.
3.) Use inverse operations
-3(x - 5) = -42
11
12. ALGEBRA
The Search for Unknowns
Objective: Isolate the variable to find its value
RULES
1.) Keep the equation balanced
2.) Simplify by combining like terms.
3.) Use inverse operations
3(2x + 6) = -30
12
13. Before You Leave
Trade an Equation
With your partner, create an equation that involves parenthesis.
You will then trade your equation with the other partnership and
solve their equation.
13