write algebraic expressions

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that includes numbers, variables, and operations (like addition, subtraction, multiplication, and division). For example, 3x + 5 is an algebraic expression.

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What is a numeric expression?

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A numeric expression is a mathematical phrase that includes only numbers and operations, without any variables. For example, 4 + 7 is a numeric expression.

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What is the difference between a numeric expression and an algebraic expression?

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An algebraic expression has variables, while a numeric expression does not.

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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.

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What is a variable in algebra?

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A variable is a symbol (often a letter) that represents an unknown value in an expression or equation. For example, in the expression 2x + 3, 'x' is the variable.

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What is a coefficient?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression. For example, in 5x, 5 is the coefficient.

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What is a constant in algebra?

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A constant is a fixed value that does not change. In the expression 3x + 4, the number 4 is a constant.

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How do you translate a verbal phrase into an algebraic expression?

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To translate a verbal phrase into an algebraic expression, identify the numbers, operations, and variables described in the phrase. For example, 'the sum of a number x and 5' translates to x + 5.

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What does 'the product of a number and 3' mean in algebra?

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It means to multiply the number by 3. If the number is represented by x, it translates to 3x.

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What is the algebraic expression for 'twice a number decreased by 4'?

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If the number is represented by x, the expression is 2x - 4.