10 Questions
What is the simplified form of (5(7y+2))?
The simplified form is (35y+10).
How do you simplify the expression (5(7y+2))?
Multiply 5 by each term inside the parentheses.
What property is used in the simplification process?
The distributive property is used.
How can the distributive property be written?
It can be written as ((b+c)a = ba+ca).
How is division indicated in algebra?
Division is often indicated using the fraction bar instead of the symbol (÷).
How can the distributive property be applied to simplify the expression $5(7y+2)$?
By multiplying 5 with each term inside the parentheses.
What is the result of simplifying the expression $5(7y+2)$ using the distributive property?
$35y+10$
What property is used in the simplification process of $5(7y+2)$?
The distributive property.
What is the coefficient of the term $y$ in the simplified expression $35y+10$?
35
What is the constant term in the simplified expression $35y+10$?
10
Study Notes
Simplifying Expressions using the Distributive Property
- The distributive property is used to simplify expressions, allowing us to multiply a single value to multiple terms inside a parenthesis.
- The distributive property can be written as: a(b + c) = ab + ac, where a is the multiplier, and b and c are the terms being multiplied.
- In algebra, division is often indicated by a forward slash (/) or a horizontal line (e.g. 5/7 or 5⁄7).
- To simplify an expression like 5(7y + 2), we apply the distributive property by multiplying the 5 to each term inside the parentheses, resulting in: 5(7y) + 5(2) = 35y + 10.
- The distributive property is used in the simplification process of 5(7y + 2).
- The coefficient of the term y in the simplified expression 35y + 10 is 35.
- The constant term in the simplified expression 35y + 10 is 10.
Test your skills in simplifying algebraic expressions with this quiz. Practice simplifying expressions by multiplying and combining like terms. Challenge yourself with various examples and improve your algebraic simplification abilities.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
