Like Terms Worksheet Grade 7

Are you a Grade 7 student looking for a comprehensive and helpful resource to practice identifying and simplifying like terms? Look no further! This Like Terms Worksheet Grade 7 blog post is designed specifically for students like you who want to strengthen their understanding of the concept of like terms. With a variety of engaging exercises, this worksheet will enhance your knowledge and proficiency in identifying and combining like terms.

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What are like terms?

Like terms are terms in an algebraic expression that have the same variable raised to the same power. These terms can be added or subtracted from each other because they are equivalent and have the same variable components. To combine like terms, you can add or subtract the coefficients of the terms while keeping the variable part unchanged.

How do you identify like terms in an algebraic expression?

To identify like terms in an algebraic expression, look for terms that have the same variables raised to the same powers. Like terms can differ in their coefficients (the numbers in front of the variables), but the variables and their exponents must be the same. For example, in the expression 3x + 2y - 5x + 4xy, the like terms are 3x and -5x because they both have the variable x raised to the first power. Grouping like terms together can help simplify and combine them in algebraic manipulations.

Can you combine unlike terms in an expression? Why or why not?

No, unlike terms cannot be combined in an expression because they represent different quantities or variables. Unlike terms have different variables or exponents attached to them, so they cannot be added or subtracted directly. In order to simplify an expression with unlike terms, you must first group and combine like terms before performing any arithmetic operations.

What is the process for combining like terms?

To combine like terms, you simply add or subtract the coefficients of the terms that have the same variables. For example, if you have 3x + 2x, you can combine these terms because they have the same variable (x) raised to the same power. Adding the coefficients of the x terms, you get 5x. Similarly, if you have 5y - 3y, you can combine these terms to get 2y. This process helps simplify algebraic expressions by combining terms that are alike.

Can you combine like terms that have different coefficients? Why or why not?

No, you cannot combine like terms that have different coefficients because like terms are terms with the same variables raised to the same powers, multiplied by the same coefficients. When coefficients are different, the terms are not considered like terms. To combine terms, the coefficients must be the same.

Why is it important to combine like terms when simplifying an expression?

Combining like terms when simplifying an expression is important because it allows for easier and clearer manipulation of the terms in the equation. By grouping similar terms together, you can reduce the complexity of the expression and make it more manageable to work with. This process also helps in identifying patterns and relationships within the equation, making it easier to solve for the unknown variable or evaluate the expression accurately.

What is the resulting expression after combining like terms in the expression 3x + 2y + 5x - 4y?

The resulting expression after combining like terms in 3x + 2y + 5x - 4y is 8x - 2y.

How many like terms are in the expression 4x^2 + 3x^2 - 2xy + 5y^2 - 3x^2?

There are three like terms in the expression 4x^2 + 3x^2 - 2xy + 5y^2 - 3x^2. The like terms are 4x^2, 3x^2, and -3x^2 because they have the same variables raised to the same power.

Can you combine constant terms with variable terms? Why or why not?

No, constant terms (terms without variables) and variable terms (terms with variables) cannot be combined because they represent different types of quantities in algebraic expressions. Constant terms are numbers that do not change, while variable terms involve the operation of multiplication by the variable. Therefore, they cannot be combined together since they represent distinct mathematical concepts and cannot be simplified with each other.

What is the simplified form of the expression 2xy + 3yx - 4xy + 5x^2 - 3yx?

The simplified form of the expression is 5xy + 5x^2.