Translating Algebraic Expressions

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign.

Front

What does 'the difference of a number and four' mean in algebraic terms?

Back

It means to subtract four from a variable representing a number, expressed as n - 4.

Front

How do you represent 'the product of four and a number' algebraically?

Back

It is represented as 4n, where n is the variable representing the number.

Front

What does 'twice the sum of a number and four' translate to in algebraic expression?

Back

It translates to 2(n + 4), indicating that you first add four to the number and then multiply the result by two.

Front

How is 'two times the difference of a number and four' expressed in algebra?

Back

It is expressed as 2(n - 4), meaning you subtract four from the number and then multiply the result by two.

Front

What does 'four less a number' mean in algebraic terms?

Back

It means to subtract the variable representing the number from four, expressed as 4 - n.

Front

What is the importance of parentheses in algebraic expressions?

Back

Parentheses indicate the order of operations, showing which operations should be performed first.

Front

How do you simplify the expression 2(n + 4)?

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You distribute the 2 to both terms inside the parentheses, resulting in 2n + 8.

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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, using an equality sign.

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What does it mean to evaluate an algebraic expression?

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To evaluate an algebraic expression means to substitute the values of the variables and perform the operations to find a numerical result.