This document provides instructions and examples for solving multi-step equations by combining like terms. It defines key terms like terms, coefficients, and like terms. Examples show combining like terms and using inverse operations to isolate the variable. The goal is to explain the lesson of solving multi-step equations to a student who was absent.
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.
5. 5
Simplify the following by combining like terms.
c.) -9 + 10x - 15 - 4x - 11x
d.) 5x - 4x - 10 - x + 10
6. 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.
8. 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
10. 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. 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
13. 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
16. 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
