Podcast
Questions and Answers
What is the result of distributing the expression 3(4x + 5)?
What is the result of distributing the expression 3(4x + 5)?
What is the greatest common factor (GCD) of 15 and 25?
What is the greatest common factor (GCD) of 15 and 25?
Which step is NOT part of determining if two expressions are equivalent?
Which step is NOT part of determining if two expressions are equivalent?
When factoring the expression 12 + 8, what is the correct factored form?
When factoring the expression 12 + 8, what is the correct factored form?
Signup and view all the answers
Using the order of operations, what is the result of the expression 3 + 2 * (7 - 4)?
Using the order of operations, what is the result of the expression 3 + 2 * (7 - 4)?
Signup and view all the answers
Study Notes
Generating Equivalent Expressions
- When a number is outside parentheses, distribute it to everything inside.
- The distributive property is used to multiply a number outside parentheses by each term inside.
- This can be represented by 2(r + 3) = 2r + 2(3) = 2r + 6
- Factoring out a common factor involves finding the greatest common factor (GCD) between two or more numbers.
- The GCD is then placed outside the parentheses, leaving the quotient of each number by the GCD inside.
- Example: 8 + 2, the GCD is 2. The factored form is 2( 8/2 + 2/2) = 2(4 + 1).
- To determine if expressions are equivalent, substitute different values for the variable and simplify both expressions.
- If the results are the same, the expressions are equivalent.
- When simplifying expressions, follow the order of operations (PEMDAS/BODMAS): parentheses/brackets, exponents/orders, multiplication and division (from left to right), addition and subtraction (from left to right).
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of equivalent expressions in algebra. This quiz covers the distributive property, factoring, and determining equivalence through substitution. Perfect for strengthening your algebra skills and grasping foundational concepts.
