Simplifying Expressions

Front

What is the process of simplifying an expression?

Back

The process of simplifying an expression involves combining like terms and performing operations to reduce the expression to its simplest form.

Front

What are like terms in an algebraic expression?

Back

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

Front

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, 3x + 5x = 8x.

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What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How do you apply the distributive property to simplify expressions?

Back

To apply the distributive property, multiply the term outside the parentheses by each term inside the parentheses. For example, 5(2 - 7n) = 5*2 - 5*7n = 10 - 35n.

Front

What is the result of simplifying the expression 5x - 6x - 8x + 7?

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The result is -9x + 7, which can also be written as 7 - 9x.

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What is the sum of the expressions (x + 5) + (2x + 10)?

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The sum is 3x + 15, obtained by combining like terms.

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How do you simplify the expression 3(1 - 2x) + 7?

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First, apply the distributive property: 3*1 - 3*2x + 7 = 3 - 6x + 7 = 10 - 6x.

Front

What is the simplified form of the expression 4a + 9 + a?

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The simplified form is 5a + 9, obtained by combining like terms.

Front

What does it mean to simplify an expression to its simplest form?

Back

Simplifying an expression to its simplest form means reducing it to an expression that cannot be simplified any further, typically by combining like terms and eliminating unnecessary parentheses.