Simplifying Terms

Front

What is the process of simplifying algebraic expressions?

Back

The process of simplifying algebraic expressions involves combining like terms, which are terms that have the same variable raised to the same power, and performing any arithmetic operations to reduce the expression to its simplest form.

Front

What are like terms in an algebraic expression?

Back

Like terms are terms that contain the same variable raised to the same exponent. For example, 3x and 5x are like terms, while 3x and 4y are not.

Front

How do you combine like terms in the expression 4d - 3d^5 + 5d^2 - 6d?

Back

To combine like terms, group the terms with the same variable: (-3d^5) + (5d^2) + (4d - 6d) = -3d^5 + 5d^2 - 2d.

Front

What is the result of simplifying the expression -12b + 4b + 17k - 9b - 3k?

Back

The result is -17b + 14k.

Front

What is the simplified form of the expression -6v + 8v + 2v - 20v?

Back

The simplified form is -16v.

Front

How do you simplify the expression 81w - 3m - 6x - 10m + 32z?

Back

Combine like terms: 81w - (3m + 10m) - 6x + 32z = 81w - 13m - 6x + 32z.

Front

What is the simplified result of n - 7n^2 + 14n^3 - 3n^2 + 8n^4 + 10n^2?

Back

The simplified result is n + 14n^3 + 8n^4.

Front

What is the importance of the distributive property in simplifying expressions?

Back

The distributive property allows you to multiply a single term by each term inside a parenthesis, which is essential for simplifying expressions that involve parentheses.

Front

How do you apply the distributive property to simplify 2(3x + 4)?

Back

Using the distributive property, you multiply 2 by each term inside the parentheses: 2 * 3x + 2 * 4 = 6x + 8.

Front

What is the first step in simplifying an expression with parentheses?

Back

The first step is to apply the distributive property to eliminate the parentheses by multiplying the term outside the parentheses by each term inside.