Simplify and Manipulate Algebraic Expressions

Front

What is a like term in algebra?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3a and 5a are like terms.

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How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3a + 5a = 8a.

Front

What is a coefficient in an algebraic expression?

Back

A coefficient is a numerical factor that multiplies a variable. In the term 4x, 4 is the coefficient.

Front

What does it mean to simplify an algebraic expression?

Back

Simplifying an algebraic expression means to combine like terms and reduce it to its simplest form.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It allows you to multiply a term by a sum.

Front

How do you factor an expression?

Back

Factoring an expression involves rewriting it as a product of its factors. For example, 6x + 9 can be factored as 3(2x + 3).

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What is the sum of (3x + 4) and (5x - 2)?

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The sum is 8x + 2.

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What is the difference between an expression and an equation?

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An expression is a combination of numbers and variables without an equality sign, while an equation states that two expressions are equal.

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How do you identify the degree of a polynomial?

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The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2, the degree is 3.

Front

What is a constant term in an algebraic expression?

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A constant term is a term that does not contain any variables. For example, in 5x + 3, the constant term is 3.