Eliminate Parentheses or Brackets

Oct 13, 2025 by talynt.org 25 views

Introduction

Understanding Algebraic Expressions In algebra, expressions are a combination of variables, constants, and mathematical operations. When we combine two or more expressions using addition or subtraction, we get a new expression. In this article, we will explore the concept of combining two expressions, specifically the sum of -2z and 4z.

What is the Sum of -2z and 4z?

The sum of two or more expressions is obtained by adding them together. In this case, we need to find the sum of -2z and 4z. To do this, we will use the basic rule of addition, which states that when we add two or more expressions, we combine like terms.

Combining Like Terms

Like Terms Like terms are terms that have the same variable raised to the same power. In this case, both -2z and 4z have the variable z raised to the power of 1. Therefore, we can combine them by adding their coefficients.

Finding the Sum

To find the sum of -2z and 4z, we will add their coefficients. The coefficient of -2z is -2, and the coefficient of 4z is 4. When we add these coefficients, we get:

-2 + 4 = 2

So, the sum of -2z and 4z is 2z.

Why is the Sum of -2z and 4z 2z?

The sum of -2z and 4z is 2z because when we add their coefficients, we get 2. This means that the variable z is multiplied by 2. Therefore, the sum of -2z and 4z is 2z.

How to Simplify Algebraic Expressions

Simplifying algebraic expressions is an essential skill in algebra. When we simplify an expression, we combine like terms and eliminate any unnecessary parentheses or brackets.

Steps to Simplify Algebraic Expressions

Combine Like Terms Combine any like terms in the expression.
Eliminate Parentheses or Brackets Remove any unnecessary parentheses or brackets.
Simplify the Expression Simplify the expression by combining any remaining like terms.

Example: Simplifying the Expression 2x + 3x

To simplify the expression 2x + 3x, we will combine like terms. The like terms in this expression are 2x and 3x. When we combine these terms, we get:

2x + 3x = 5x

So, the simplified expression is 5x.

Conclusion

In conclusion, the sum of -2z and 4z is 2z. This is because when we add their coefficients, we get 2. Therefore, the variable z is multiplied by 2. Simplifying algebraic expressions is an essential skill in algebra, and it involves combining like terms and eliminating any unnecessary parentheses or brackets.

Frequently Asked Questions

What is the sum of -2z and 4z? The sum of -2z and 4z is 2z.
How do I simplify algebraic expressions? To simplify algebraic expressions, combine like terms, eliminate parentheses or brackets, and simplify the expression.
What are like terms? Like terms are terms that have the same variable raised to the same power.

Final Thoughts

Simplifying algebraic expressions is an essential skill in algebra. By combining like terms and eliminating any unnecessary parentheses or brackets, we can simplify expressions and make them easier to work with. In this article, we explored the concept of combining two expressions, specifically the sum of -2z and 4z. We also discussed how to simplify algebraic expressions and provided an example of simplifying the expression 2x + 3x.

Introduction

In our previous article, we explored the concept of combining two expressions, specifically the sum of -2z and 4z. We also discussed how to simplify algebraic expressions and provided an example of simplifying the expression 2x + 3x. In this article, we will answer some frequently asked questions related to the sum of -2z and 4z.

Q&A

Q: What is the sum of -2z and 4z?

A: The sum of -2z and 4z is 2z.

Q: Why is the sum of -2z and 4z 2z?

A: The sum of -2z and 4z is 2z because when we add their coefficients, we get 2. This means that the variable z is multiplied by 2.

Q: How do I simplify algebraic expressions?

A: To simplify algebraic expressions, combine like terms, eliminate parentheses or brackets, and simplify the expression.

Q: What are like terms?

A: Like terms are terms that have the same variable raised to the same power.

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

A: Yes, you can simplify an expression with more than two terms. Just combine like terms and eliminate any unnecessary parentheses or brackets.

Q: What if I have an expression with variables raised to different powers?

A: If you have an expression with variables raised to different powers, you cannot combine like terms. In this case, you will need to leave the expression as it is.

Q: Can I simplify an expression with fractions?

A: Yes, you can simplify an expression with fractions. Just combine like terms and eliminate any unnecessary parentheses or brackets.

Q: What if I have an expression with negative coefficients?

A: If you have an expression with negative coefficients, you can simplify it by combining like terms and eliminating any unnecessary parentheses or brackets.

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

A: Yes, you can simplify an expression with variables and constants. Just combine like terms and eliminate any unnecessary parentheses or brackets.

Example Questions and Answers

Q: Simplify the expression 3x + 2x

A: To simplify the expression 3x + 2x, we will combine like terms. The like terms in this expression are 3x and 2x. When we combine these terms, we get:

3x + 2x = 5x

So, the simplified expression is 5x.

Q: Simplify the expression 2x - 3x

A: To simplify the expression 2x - 3x, we will combine like terms. The like terms in this expression are 2x and -3x. When we combine these terms, we get:

2x - 3x = -x

So, the simplified expression is -x.

Q: Simplify the expression 4x + 2x + 3x

A: To simplify the expression 4x + 2x + 3x, we will combine like terms. The like terms in this expression are 4x, 2x, and 3x. When we combine these terms, we get:

4x + 2x + 3x = 9x

So, the simplified expression is 9x.

Conclusion

Frequently Asked Questions

What is the sum of -2z and 4z? The sum of -2z and 4z is 2z.
How do I simplify algebraic expressions? To simplify algebraic expressions, combine like terms, eliminate parentheses or brackets, and simplify the expression.
What are like terms? Like terms are terms that have the same variable raised to the same power.

Final Thoughts

Simplifying algebraic expressions is an essential skill in algebra. By combining like terms and eliminating any unnecessary parentheses or brackets, we can simplify expressions and make them easier to work with. In this article, we answered some frequently asked questions related to the sum of -2z and 4z. We also provided examples of simplifying expressions with like terms, variables raised to different powers, fractions, and negative coefficients.