Questions and Answers
What are the 5 steps to solving multistep equations?
- Distribute, 2. Combine like terms, 3. Move smaller variables, 4. Inverse operation of constant, 5. Solve, 6. Check back.
How to eliminate the parenthesis?
Multiply the number outside of the parenthesis by the numbers inside.
How to combine like terms?
Find all similar variables and add or subtract those similar items together.
When solving equations, do you add/subtract or multiply/divide first?
Signup and view all the answers
What's the opposite of addition?
Signup and view all the answers
What's the opposite of multiplication?
Signup and view all the answers
What's the opposite of division?
Signup and view all the answers
What's the opposite of subtraction?
Signup and view all the answers
In the equation 2(3x+5) - x = 10, what do I do first?
Signup and view all the answers
In the equation 2 + 3x = 11, what do I do first?
Signup and view all the answers
In the equation 2x = 9 + x, what do I do first?
Signup and view all the answers
In the equation 2x + 3x + 5 = 10, what do I do first?
Signup and view all the answers
Study Notes
Steps to Solving Multi-step Equations
- Follow these five crucial steps:
- Distribute
- Combine like terms
- Move smaller variable terms
- Apply inverse operation for constants
- Solve for the variable, and finally, check the solution
Eliminating Parentheses
- Use distribution to eliminate parentheses by multiplying the number outside the parentheses by each term inside.
- Example: For 3(2P + 5), distribute to get 6P + 15.
Combining Like Terms
- Identify and group similar variable terms along with their preceding signs.
- Add or subtract these grouped items.
- Example: 2x + 3y - x + 2y simplifies to x + 5y.
Order of Operations
- Prioritize addition and subtraction over multiplication and division when solving equations.
Opposite Operations
- The opposite of addition is subtraction, facilitating equation balancing.
- The opposite of multiplication is division, crucial for isolating variable terms.
- The opposite of division is multiplication, used to eliminate division in equations.
- The opposite of subtraction is addition, helping to rearrange and simplify expressions.
Practical Application Examples
- For the equation 2(3x + 5) - x = 10, begin by distributing the 2.
- In 2 + 3x = 11, first subtract 2 to isolate the variable term.
- In 2x = 9 + x, move the smaller variable (x) to one side for easier solving.
- In 2x + 3x + 5 = 10, start by combining like terms to simplify before solving.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
This quiz covers the essential steps to solve multi-step algebraic equations effectively. Through a series of flashcards, you will learn how to distribute, combine like terms, and apply inverse operations for solving equations. Perfect for reinforcing your understanding of algebraic concepts.
