Simplify The Expression: X + X + 1 − 1 X + X + 1 - 1 X + X + 1 − 1

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Introduction

In mathematics, simplifying expressions is an essential skill that helps us solve problems efficiently and accurately. When we encounter an expression like $x + x + 1 - 1$, our goal is to simplify it to its simplest form. In this article, we will guide you through the process of simplifying this expression step by step.

Understanding the Expression

The given expression is $x + x + 1 - 1$. To simplify this expression, we need to understand the properties of addition and subtraction. When we add two or more numbers, we combine their values to get a single value. On the other hand, when we subtract one number from another, we find the difference between their values.

Combining Like Terms

The first step in simplifying the expression is to combine like terms. Like terms are terms that have the same variable raised to the same power. In this expression, we have two like terms: $x$ and $x$. We can combine these two terms by adding their coefficients. The coefficient of a term is the number that is multiplied by the variable.

# Define the variables
x = 1  # coefficient of x
combined_terms = 2 * x

In this case, the coefficient of $x$ is 1, and we have two like terms, so we multiply the coefficient by 2 to get the combined value of the like terms.

Simplifying the Expression

Now that we have combined the like terms, we can simplify the expression further. We have $2x + 1 - 1$. The next step is to combine the constants. In this case, we have $1 - 1$, which equals 0.

# Define the variables
constant1 = 1
constant2 = 1

combined_constants = constant1 - constant2

In this case, the combined value of the constants is 0.

Final Simplification

Now that we have combined the like terms and the constants, we can simplify the expression further. We have $2x + 0$, which equals $2x$.

# Define the variables
combined_terms = 2 * x
combined_constants = 0

simplified_expression = combined_terms + combined_constants

In this case, the simplified expression is $2x$.

Conclusion

In this article, we simplified the expression $x + x + 1 - 1$ step by step. We combined like terms, simplified the expression further by combining constants, and finally arrived at the simplified expression $2x$. This process helps us understand the properties of addition and subtraction and how to simplify expressions efficiently.

Frequently Asked Questions

• What is the simplified form of the expression $x + x + 1 - 1$?
• How do we combine like terms in an expression?
• What is the difference between combining like terms and combining constants?

Answers

• The simplified form of the expression $x + x + 1 - 1$ is $2x$.
• We combine like terms by adding their coefficients.
• Combining like terms and combining constants are two separate steps in simplifying an expression.

Additional Resources

• For more information on simplifying expressions, visit the Khan Academy website.
• For practice problems on simplifying expressions, visit the Mathway website.

Final Thoughts

Simplifying expressions is an essential skill in mathematics that helps us solve problems efficiently and accurately. By following the steps outlined in this article, you can simplify expressions like $x + x + 1 - 1$ and arrive at the simplified form. Remember to combine like terms and simplify the expression further by combining constants. With practice, you will become proficient in simplifying expressions and solving problems in mathematics.

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Introduction

In our previous article, we simplified the expression $x + x + 1 - 1$ step by step. We combined like terms, simplified the expression further by combining constants, and finally arrived at the simplified expression $2x$. In this article, we will answer some frequently asked questions related to simplifying expressions.

Q&A

Q: What is the simplified form of the expression $x + x + 1 - 1$?

A: The simplified form of the expression $x + x + 1 - 1$ is $2x$.

Q: How do we combine like terms in an expression?

A: We combine like terms by adding their coefficients. For example, in the expression $x + x + 1 - 1$, we have two like terms: $x$ and $x$. We can combine these two terms by adding their coefficients, which is $1 + 1 = 2$.

Q: What is the difference between combining like terms and combining constants?

A: Combining like terms and combining constants are two separate steps in simplifying an expression. Combining like terms involves adding the coefficients of terms with the same variable raised to the same power, while combining constants involves adding or subtracting numbers that are not part of a term.

Q: Can we simplify an expression with more than two terms?

A: Yes, we can simplify an expression with more than two terms. We can combine like terms and simplify the expression further by combining constants.

Q: How do we know when to combine like terms and when to combine constants?

A: We combine like terms when we have terms with the same variable raised to the same power. We combine constants when we have numbers that are not part of a term.

Q: Can we simplify an expression with variables and constants?

A: Yes, we can simplify an expression with variables and constants. We can combine like terms and simplify the expression further by combining constants.

Q: How do we simplify an expression with negative coefficients?

A: We simplify an expression with negative coefficients by following the same steps as before. We combine like terms and simplify the expression further by combining constants.

Q: Can we simplify an expression with fractions?

A: Yes, we can simplify an expression with fractions. We can combine like terms and simplify the expression further by combining constants.

Q: How do we simplify an expression with exponents?

A: We simplify an expression with exponents by following the same steps as before. We combine like terms and simplify the expression further by combining constants.

Conclusion

In this article, we answered some frequently asked questions related to simplifying expressions. We covered topics such as combining like terms, combining constants, and simplifying expressions with variables, constants, negative coefficients, fractions, and exponents. By following the steps outlined in this article, you can simplify expressions and arrive at the simplified form.

Frequently Asked Questions

• What is the simplified form of the expression $x + x + 1 - 1$?
• How do we combine like terms in an expression?
• What is the difference between combining like terms and combining constants?
• Can we simplify an expression with more than two terms?
• How do we know when to combine like terms and when to combine constants?
• Can we simplify an expression with variables and constants?
• How do we simplify an expression with negative coefficients?
• Can we simplify an expression with fractions?
• How do we simplify an expression with exponents?

Answers

• The simplified form of the expression $x + x + 1 - 1$ is $2x$.
• We combine like terms by adding their coefficients.
• Combining like terms and combining constants are two separate steps in simplifying an expression.
• Yes, we can simplify an expression with more than two terms.
• We combine like terms when we have terms with the same variable raised to the same power. We combine constants when we have numbers that are not part of a term.
• Yes, we can simplify an expression with variables and constants.
• We simplify an expression with negative coefficients by following the same steps as before.
• Yes, we can simplify an expression with fractions.
• We simplify an expression with exponents by following the same steps as before.

Additional Resources

• For more information on simplifying expressions, visit the Khan Academy website.
• For practice problems on simplifying expressions, visit the Mathway website.

Final Thoughts

Simplifying expressions is an essential skill in mathematics that helps us solve problems efficiently and accurately. By following the steps outlined in this article, you can simplify expressions and arrive at the simplified form. Remember to combine like terms and simplify the expression further by combining constants. With practice, you will become proficient in simplifying expressions and solving problems in mathematics.