How do you simplify algebraic expressions?

By combining like terms and using the distributive property.

What is the importance of combining like terms?

To simplify algebraic expressions efficiently.

By removing parentheses and distributing numbers to terms.

Rewriting expressions with only addition.

Variables first, then constant terms, following order of exponents.

Like terms in algebraic expressions have the same variables with the same powers, allowing for simplification by adding or subtracting coefficients.
The Distributive Property is a crucial tool in simplifying algebraic expressions by removing parentheses and distributing numbers to terms inside, facilitating the combination of like terms for a more streamlined form.

How do you simplify algebraic expressions?
By combining like terms and using the distributive property.
What is the importance of combining like terms?
To simplify algebraic expressions efficiently.
How does the Distributive Property simplify expressions?
By removing parentheses and distributing numbers to terms.
What strategy helps in dealing with subtraction in expressions?
Rewriting expressions with only addition.
How should terms be arranged for simplifying algebraic expressions?
Variables first, then constant terms, following order of exponents.

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Introduction to simplifying algebraic expressions by combining like terms and using the distributive property
Like terms are terms with the same variables to the same powers
Combining like terms involves adding or subtracting coefficients of terms with the same variables
Example 1: Simplifying 9x + 3x to 12x by adding coefficients
Example 2: Combining 8G + 7 + 5G + 2 to get 13G + 9
Example 3: Simplifying 6y^2 + 10y + 2y + 3y + y to 8y^2 + 14y by combining like terms
Example 4: Combining 7x + 2y - 4x + 2y to 3x + 4y by rearranging and adding like terms
Strategy of rewriting expressions with only addition to simplify identifying terms
Example 5: Simplifying 9C + 6D + 5D + 8C + 2D to 17C + 13D by combining like terms
Example 6: Combining -10a + 2ab + 9a + ab + 9a - 8 to 8a + 3ab - 8
Example 7 and 8: Simplifying 4x^2 - 7 + 3x - 2x^2 + 3 to 2x^2 + 3x - 4 and rewriting the expression for easier identification of terms
Utilizing the strategy of rewriting expressions with only addition to simplify combining like terms.

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Combining 4x^2 and -2x^2 results in 2x^2 by subtracting the coefficients.
The expression simplifies to 2x^2 + 3x - 4 by combining like terms.
A strategy for dealing with subtraction or negatives involves rewriting the expression with only addition separating the terms.
By adding the opposite of subtraction, the expression is simplified to 2x^2 + 3x - 4.
The Distributive Property helps remove parentheses within algebraic expressions to simplify them.
Distributing a number outside the parentheses to terms inside is crucial for simplification.
Applying the Distributive Property to expressions like 2(5 + 3) results in the same value as doing operations within the parentheses first.
Using the Distributive Property on algebraic expressions like 8(2n + 6) simplifies them by removing parentheses.
Distributing numbers like 7 to terms inside parentheses helps simplify expressions like 7(a - 9).
The Distributive Property aids in simplifying expressions like 10(-5x - 4y) by distributing the number outside the parentheses.

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To simplify algebraic expressions, start by removing parentheses and combining like terms.
Combine constant terms like 4 and 12 to get 16 in the expression 2n + 16.
Arrange terms with variables first, then constant terms, following the order of exponents and alphabetical order.
In the expression 9x + 30, combine like terms 18x and -9x to simplify.
Distribute 3 to 8y and -10 to get 24y - 7 in the expression 24y - 7.
Use the distributive property to simplify -8(C - D) - 5D to 8C + 3D.
For 13a + 4(a + 9), distribute 4 to a and 9 to simplify to 17a + 36.
Simplify 5(x^2 - 3) + 10 - 4x to 5x^2 - 4x - 5 by distributing and combining like terms.