Writing 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 an increase in a variable by a certain amount in an algebraic expression?

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To represent an increase in a variable by a certain amount, you add that amount to the variable. For example, if g represents a grade and you want to show an increase of 5 points, the expression would be g + 5.

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What is the general form of an expression that represents a total cost with a fixed fee and a variable cost?

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The general form is: Total Cost = Fixed Fee + (Variable Cost per Unit * Number of Units).

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How do you express a decrease in a variable in an algebraic expression?

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To express a decrease in a variable, you subtract the amount from the variable. For example, if c represents the number of CDs Emily has and Nate has 6 fewer, the expression would be c - 6.

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What does the variable 'h' represent in the context of hourly charges?

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In the context of hourly charges, 'h' typically represents the number of hours worked or used.

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How can you express the total number of items when multiple people are involved?

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To express the total number of items when multiple people are involved, you multiply the number of people by the number of items each person has. For example, if 3 friends each have s items, the expression is 3s.

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What is the significance of using variables in algebraic expressions?

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Variables allow us to represent unknown values or quantities in mathematical expressions, making it possible to formulate general rules and solve problems.

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How do you write an expression for a situation where a fixed cost is involved?

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You write the expression by adding the fixed cost to the variable cost. For example, if there is a fixed cost of $100 and a variable cost of $20 per hour, the expression is 100 + 20h.

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What is the difference between an equation and an expression?

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

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How do you represent a subtraction operation in an algebraic expression?

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A subtraction operation in an algebraic expression is represented by using the minus sign (-). For example, subtracting a number n from 10 is expressed as 10 - n.