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Algebra in Real Life By Michael Every June 20, 2006

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Situation #1 I have 13 friends coming to my party. I have ordered 3 pizzas. The pizzas are cut into 8 pieces. The pizza boxes are 14x14x1.5 inches. The party begins at 1:00pm Steve doesn’t eat pizza. Frank wants to know how pieces he gets to eat. I want everyone to get fair share.

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What is the Question? Let’s go back and look…

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Situation #1 I have 13 friends coming to my party. I have ordered 3 pizzas. The pizzas are cut into 8 pieces. The pizza boxes are 14x14x1.5 inches. The party begins at 1:00pm Steve doesn’t eat pizza. Frank wants to know how many pieces he gets to eat. I want everyone to get fair share.

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Frank wants to know how many pieces he gets to eat. Is this a question? Yes What information do we need to answer the question? Let’s go back and check…

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Situation #1 I have 13 friends coming to my party. I have ordered 3 pizzas. The pizzas are cut into 8 pieces. The pizza boxes are 14x14x1.5 inches. The party begins at 1:00pm Steve doesn’t eat pizza. Frank wants to know how many pieces he gets to eat. I want everyone to get fair share.

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Situation #1(necessary information) I have 13 friends coming to my party. I have ordered 3 pizzas. The pizzas are cut into 8 pieces. Steve doesn’t eat pizza. Frank wants to know how many pieces he gets to eat. I want everyone to get fair share.

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Let’s Create a Balanced Equation. What are the given proportions? 12 Friends with an equal amount of pizza. 3 pizzas with 8 slices each 12Friends = 24 slices of pizza 12F = 24S

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How do we solve our Balanced Equation? First decide which variable we need to solve for…F or S? Solve for S tells us one Slice feeds many Friends. Solve for F tells us one Friend gets how many Slices. Correct! Solve for F

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Next Step We need the F variable by itself. We can use inverse operations to cancel values. 12F = 24S What is the inverse operation? Correct! Divide by 12 Remember to keep the equation balanced… We apply the same operation to both sides

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How do I show my work? 12F = 24S 12 Divide both sides by 12 F = 2S

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If F = 2S Then the answer to Frank’s question is… He gets to eat 2 slices of pizza.

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Yeah! We solved our problem 1.)Create an equation 2.)Solve using inverse operations Balanced Equations

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Let’s watch the process in action… Click on video to start…

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Comprehension Quiz Solve with Inverse operations 6X = X = 13

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More practice Homework pages

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Works Cited

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