Algebraic Expressions

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What is an algebraic expression?

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

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How do you represent earnings based on hourly wages in an algebraic expression?

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To represent earnings based on hourly wages, multiply the hourly wage by the number of hours worked. For example, if the hourly wage is $12 and hours worked is x, the expression is 12x.

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What does it mean to subtract a cost from total earnings in an expression?

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Subtracting a cost from total earnings in an expression represents the net earnings after expenses. For example, if total earnings are represented as 12x and a cost is $15, the expression becomes 12x - 15.

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How can you express total savings after a purchase?

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Total savings after a purchase can be expressed by subtracting the cost of the item from the total savings before the purchase. For example, if savings are $265 and the item costs d dollars, the expression is 265 - d.

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What is the expression for '25 less than a number n'?

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The expression for '25 less than a number n' is n - 25.

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How do you express total income from multiple sources?

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Total income from multiple sources can be expressed by adding the amounts from each source. For example, if d dollars are received as allowance and $14.55 is earned from a job, the expression is 14.55 + d.

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What is the difference between a variable and a constant in algebraic expressions?

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A variable is a symbol (often a letter) that represents an unknown value, while a constant is a fixed value that does not change.

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How do you simplify an algebraic expression?

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To simplify an algebraic expression, combine like terms and perform any arithmetic operations where possible.

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What is the importance of using variables in algebraic expressions?

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Variables allow us to represent unknown quantities and create general formulas that can be applied to various situations.

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How do you write an expression for total earnings over multiple days?

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To write an expression for total earnings over multiple days, multiply the daily earnings by the number of days. For example, if daily earnings are $35 and the number of days is d, the expression is 35d.