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Creating Linear Equations: Andrew's Tennis Ball Purchase and Cost Analysis

Andrew is preparing for a tennis tournament and needs to buy more tennis balls. He orders 10 cans online, receiving a 25% discount and incurring a shipping cost of $5.99. Using the variable ( x ) to represent the cost of each can, we can derive several algebraic expressions. The total cost without discount is ( 10x ), the cost after applying the discount is ( 7.5x ), and including the shipping cost, the total becomes ( 7.5x + 5.99 ). This exercise demonstrates how to create and simplify linear equations in one variable.

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Creating Linear Equations: Andrew's Tennis Ball Purchase and Cost Analysis

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  1. Check it out! 1.2.1: Creating Linear Equations in One Variable

  2. Andrew is practicing for a tennis tournament and needs more tennis balls. He bought 10 cans of tennis balls online and received a 25% discount. The shipping cost was $5.99. Let x represent the cost of each can. Write an algebraic expression to represent the cost of the tennis balls. Write an algebraic expression to represent the cost of the tennis balls with the discount. Write an algebraic expression to represent the total cost of the tennis balls with the shipping cost and the discount. Simplify the expression. 1.2.1: Creating Linear Equations in One Variable

  3. Write an algebraic expression to represent the cost of the tennis balls. Andrew purchased 10 cans of tennis balls at an unknown price, x. Therefore, the expression to represent the cost of the tennis balls is 10x. 1.2.1: Creating Linear Equations in One Variable

  4. Write an algebraic expression to represent the cost of the tennis balls with the discount. First, Andrew will be charged the cost of the tennis balls (10x). Then, 25% will be discounted or taken off the cost of the tennis balls, so –0.25(10x). Add these amounts to arrive at the price of the tennis balls. 10x – 0.25(10x) 10x – 2.5x 7.5x 1.2.1: Creating Linear Equations in One Variable

  5. Write an algebraic expression to represent the total cost of the tennis balls with the shipping cost and the discount. Simplify the expression. The shipping cost was $5.99. Add this to the expression found previously. 10x – 0.25(10x) + 5.99 10x – 2.5x + 5.99 7.5x + 5.99 1.2.1: Creating Linear Equations in One Variable

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