Translate This Sentence Into An Equation:55 Is The Product Of 5 And Chrissy's Height. Use The Variable { C $}$ To Represent Chrissy's Height.Equation: ${ 55 = 5c }$
Introduction
In this article, we will delve into the world of mathematics and explore how to translate a simple sentence into an equation. We will use the given sentence: "55 is the product of 5 and Chrissy's height." Our goal is to represent Chrissy's height using a variable and create an equation that represents the given statement. We will use the variable { c $}$ to represent Chrissy's height.
Understanding the Sentence
The given sentence states that 55 is the product of 5 and Chrissy's height. This means that when we multiply 5 by Chrissy's height, we get 55. To represent this mathematically, we need to use the multiplication symbol (*). The sentence can be rewritten as:
55 = 5 × Chrissy's height
Representing Chrissy's Height with a Variable
To represent Chrissy's height with a variable, we will use the variable { c $}$. This variable will represent Chrissy's height in the equation. We will substitute { c $}$ into the sentence to get:
55 = 5 × { c $}$
Creating the Equation
Now that we have represented Chrissy's height with a variable, we can create the equation. The equation is:
This equation states that 55 is equal to 5 times Chrissy's height, which is represented by the variable { c $}$.
Solving the Equation
To solve the equation, we need to isolate the variable { c $}$. We can do this by dividing both sides of the equation by 5. This will give us:
Simplifying the equation, we get:
This means that Chrissy's height is 11.
Conclusion
In this article, we translated a simple sentence into an equation using the variable { c $}$ to represent Chrissy's height. We created the equation 55 = 5c and solved for the variable { c $}$. The solution to the equation was c = 11, which represents Chrissy's height.
Real-World Applications
This type of equation is commonly used in real-world applications, such as:
- Calculating the area of a rectangle: If the length of the rectangle is 5 and the width is represented by a variable, we can create an equation to represent the area.
- Finding the volume of a cube: If the side length of the cube is represented by a variable, we can create an equation to represent the volume.
- Solving problems involving percentages: If a certain percentage of a value is represented by a variable, we can create an equation to represent the problem.
Tips and Tricks
When translating a sentence into an equation, make sure to:
- Identify the key words and phrases in the sentence.
- Use the correct mathematical operations (addition, subtraction, multiplication, division) to represent the sentence.
- Use variables to represent unknown values.
- Simplify the equation to make it easier to solve.
Common Mistakes
When creating and solving equations, make sure to avoid the following common mistakes:
- Not using the correct mathematical operations.
- Not simplifying the equation.
- Not isolating the variable.
- Not checking the solution for errors.
Conclusion
Introduction
In our previous article, we explored how to translate a simple sentence into an equation using the variable { c $}$ to represent Chrissy's height. We created the equation 55 = 5c and solved for the variable { c $}$. In this article, we will answer some frequently asked questions about translating sentences into equations.
Q: What is the first step in translating a sentence into an equation?
A: The first step in translating a sentence into an equation is to identify the key words and phrases in the sentence. Look for words like "is," "are," "equals," and "is equal to." These words indicate that an equation is being formed.
Q: How do I know which variable to use?
A: When choosing a variable, consider the context of the problem. In our previous example, we used the variable { c $}$ to represent Chrissy's height. You can use any letter or symbol that makes sense in the context of the problem.
Q: What if the sentence contains multiple variables?
A: If the sentence contains multiple variables, you can use multiple variables to represent the different values. For example, if the sentence says "John's height is 5 times Sarah's height," you can use the variables { j $}$ and { s $}$ to represent John's height and Sarah's height, respectively.
Q: How do I know which mathematical operation to use?
A: When translating a sentence into an equation, look for words like "plus," "minus," "times," and "divided by." These words indicate which mathematical operation to use. For example, if the sentence says "John's height is 5 plus Sarah's height," you would use the addition operation.
Q: What if the sentence contains a fraction or decimal?
A: If the sentence contains a fraction or decimal, you can represent it as a fraction or decimal in the equation. For example, if the sentence says "John's height is 5.5 times Sarah's height," you can represent it as 5.5c.
Q: Can I use a variable to represent a value that is not a number?
A: No, a variable can only represent a value that is a number. If the sentence contains a value that is not a number, you will need to use a different variable or representation.
Q: How do I know if the equation is correct?
A: To check if the equation is correct, plug in the values and solve for the variable. If the solution matches the original sentence, then the equation is correct.
Q: What if I get a solution that doesn't make sense?
A: If you get a solution that doesn't make sense, go back and check your work. Make sure you translated the sentence correctly and used the correct mathematical operations. If you are still having trouble, try re-reading the sentence and re-translating it into an equation.
Conclusion
Translating sentences into equations is a powerful tool for solving mathematical problems. By identifying the key words and phrases in the sentence, using the correct mathematical operations, and simplifying the equation, you can solve for the unknown value. Remember to use variables to represent unknown values and to check your work to ensure that the equation is correct.
Common Mistakes
When translating sentences into equations, make sure to avoid the following common mistakes:
- Not identifying the key words and phrases in the sentence.
- Not using the correct mathematical operations.
- Not simplifying the equation.
- Not isolating the variable.
- Not checking the solution for errors.
Tips and Tricks
When translating sentences into equations, make sure to:
- Read the sentence carefully and identify the key words and phrases.
- Use the correct mathematical operations to represent the sentence.
- Simplify the equation to make it easier to solve.
- Check your work to ensure that the equation is correct.
- Use variables to represent unknown values.
Conclusion
In conclusion, translating sentences into equations is a simple yet powerful tool for solving mathematical problems. By following these tips and tricks and avoiding common mistakes, you can become proficient in translating sentences into equations and solving mathematical problems with ease.