Introduction to Formulas

🎬 Video Tutorial

  • (0:01) Understanding Formulas: A formula is a mathematical equation that describes the relationship between two variables, such as $y = 2x + 3$.
  • (0:38) Calculating Values with Formulas: By substituting known values into a formula, you can find corresponding values; for example, if $x = 2$ in $y = 2x + 3$, then $y = 7$.
  • (1:32) Solving Real-Life Problems with Formulas: For example, $y = 20 + 12x$ represents the total savings over weeks, allowing you to determine the time needed to reach a savings goal.

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Introduction to Formulas

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Q: If $y = 2x + 3$, what is $y$ when $x = 3$?

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Q: The formula for the distance traveled by a car is $y = 60x + 120$, where $y$ is the distance in miles and $x$ is the number of hours driven. How far will it travel after 3 hours?

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Q: If $y = 4x - 7$, what is $x$ when $y = 13$?

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Q: A company’s total revenue $y$ is represented by $y = 500x - 200$, where $x$ is the number of products sold. How many products must be sold to reach a revenue of £4,800?

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Q: The total cost of a gym membership is calculated by $y = 30x + 50$, where $x$ is the number of months and $y$ is the total cost in pounds. If the total cost is £200, how many months did the member sign up for?

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Q: A company charges a $200 setup fee and $50 for printing each book. If you print more than 10 books, you get a 10% discount on the total cost. How many books can be printed for $720?

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