Algebra Like Terms Worksheet

If you're a math teacher or a student looking for a comprehensive algebra worksheet to practice and reinforce your understanding of like terms, you've come to the right place! This algebra like terms worksheet covers a range of exercises that focus on identifying and combining like terms, ensuring a solid grasp of this fundamental concept in algebra.

  Combining Like Terms Worksheets

---

  Algebraic Expressions Worksheets 6th Grade

---

  Combining Like Terms Equations Worksheet

---

  Distributive Property and Combining Like Terms Worksheet

---

  Simplifying Expressions Worksheets 7th Grade

---

  Combining Like Terms Worksheet with Answers

---

  7th Grade Combining Like Terms Worksheet

---

  Simplify Expressions Worksheet

---

  Combining Like Terms Equations Worksheet

---

  Simplifying Algebraic Expressions Worksheet

---

  Distributive Property Worksheets 7th Grade

---

  Simplifying Expressions Worksheets 7th Grade

---

  Combining Like Terms Worksheets

---

Define like terms in algebra.

Like terms in algebra are terms that have the same variables raised to the same powers. This means that the variables in like terms are identical, allowing them to be combined or simplified together in algebraic expressions or equations.

Give an example of two like terms.

An example of two like terms is 5x and 2x, since they both have the same variable "x" raised to the same power (1) and can be combined together in an algebraic expression.

How do you simplify a given expression with like terms?

To simplify a given expression with like terms, you need to combine the terms that have the same variables and exponents. Add or subtract the coefficients of these like terms to simplify the expression. Make sure to pay attention to the signs of each term when combining them. Once you have grouped all the like terms together, perform the necessary arithmetic operations to simplify the expression.

What is the purpose of combining like terms in algebraic expressions?

The purpose of combining like terms in algebraic expressions is to simplify and organize the expression by grouping together similar terms. This helps in making the expression easier to interpret, manipulate, and solve. By combining like terms, we can reduce the complexity of the expression and make it more manageable for further mathematical operations such as factoring or solving equations.

Can unlike terms be combined? Why or why not?

Unlike terms cannot be combined because they do not have the same variables raised to the same powers. In order to combine terms, they must have the same variables with the same exponents. Unlike terms involve different variables or the same variables with different exponents, making it impossible to combine them directly. Combining unlike terms is a fundamental concept in algebra and allows for simplifying expressions by grouping like terms together.

Give an example of an algebraic expression with three like terms.

An example of an algebraic expression with three like terms is 3x + 2x - 5x. In this expression, 3x, 2x, and -5x are all like terms because they all contain the variable x raised to the first power. These terms can be combined by adding or subtracting their coefficients, resulting in a simplified expression.

How would you simplify the expression: 4x + 7y + 2x - 3y ?

To simplify the expression 4x + 7y + 2x - 3y, you can combine like terms by adding or subtracting coefficients of variables that are the same. This simplifies to 6x + 4y, as 4x + 2x = 6x and 7y - 3y = 4y.

What is the coefficient of the like terms in the expression: 3a - 2a + 5a ?

The coefficient of the like terms in the expression 3a - 2a + 5a is 3 - 2 + 5 = 6.

Explain how to add or subtract polynomials with like terms.

To add or subtract polynomials with like terms, simply combine the coefficients of the like terms while keeping the variables unchanged. For example, if you have the expression 3x^2 + 4x - 2 and you want to add it to 2x^2 - 3x + 1, you would combine the coefficients of the x^2 terms (3 + 2 = 5x^2), the coefficients of the x terms (4 - 3 = x), and the constants (-2 + 1 = -1). So, the result would be 5x^2 + x - 1. Just be sure to keep track of the signs and remember that only like terms can be combined.

In a given expression, can two different variables be considered like terms? Why or why not?

No, two different variables cannot be considered like terms in a given expression because like terms are terms that have the same variables raised to the same powers. If the variables in the terms are different or raised to different powers, they are not like terms and cannot be combined together.