Goal: Solving Multi-Step Linear Equations Using Inverse Operations
What is a Mult-Step Equation?
A multi-step equation is an equation that takes more than one step to solve.
How do we solve a multi-step problem?
- Use the Distributive Property if necessary
- Combine like terms if necessary
- Undo addition and subtraction
- Undo multiplication and division
Simplifying Equations
A. The Distributive Property
- Multiplying: a(b + c) = ab + ac
- Multiplying: (b + c)a = ab + ac
B. Like Terms
- Multiplying: a(b-c) = ab-ac
- Multiplying: (6² - Da) = ab - ac
What are like terms?
Like terms are terms that have the same variable factors (example: 2y and -6y, 3x² and 5x²)
Combining like terms
To combine like terms, add or subtract the coefficients of the terms
Monitoring Progress
-2n + 3 = 9
-3-3
-2n = 6
n = -3
or
22 = 8d
2.75 = d-21 = 20 - 11
7 = 7(5+(-12))
C = -20
or
C = -20-2x-10x+12 = 18
-12x +12 = 18
x = 1
Using Inverse Operations and Distributive Property Worksheets
Using inverse operations and distributive property examples can be helpful when solving multi-step equations. It's important to understand the reverse distributive property and how to apply the commutative property of multiplication.
Monitoring Progress in Multi-Step Equations Worksheet
It's important to monitor progress in multi-step equations by using a monitoring progress in multi-step equations worksheet. This will help in checking the process of solving multi-step equations.
Examples of Solving Multi-Step Equations:
- 3w+7=19
w=4 - 11 = 12-q
q = 1 - 7.5 = 3t-3
t = 3 - 5b +45 = 540
b = 99 - 2n + 13 = 75
n = 31 - 1/2x + 8 = -2
x = -30 - x-a = ³/₁
x = -a
Multi-Step Equations Calculator
Using a multi-step equations calculator can be beneficial in solving multi-step equation problems.
Solving Multi-Step Equations Worksheets PDF
Utilizing solving multi-step equations worksheets PDF can be a great resource to practice solving multi-step equations with answers.
Conclusion
Solving multi-step equations involves using inverse operations, the distributive property, and combining like terms to reach a solution. It's important to monitor progress and utilize resources like solving multi-step equations worksheet with answers and multi-step equations calculator for effective problem-solving.
