Grade 9 Combining Like Terms Worksheets 2025

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Combining Like Terms with Distributive Property: Algebra Worksheet

<b><i>What It Is:</i></b><br>This is an algebra worksheet focusing on combining like terms and using the distributive property. The worksheet includes three sections: one section with problems that require combining like terms, another section with problems that require using the distributive property, and a final section that requires both distributive property and combining like terms to simplify algebraic expressions. The problems involve variables such as x, n, v, a, k, p, r, and m.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 7-9. It reinforces pre-algebra and algebra skills related to simplifying expressions, which are typically taught in these grade levels. The use of variables and the application of the distributive property indicate a middle school to early high school level.<br><b><i>Why Use It:</i></b><br>This worksheet helps students practice and master the skills of combining like terms and applying the distributive property. It reinforces algebraic manipulation and simplification, essential skills for more advanced math topics. The progressive difficulty, starting with simple combining and moving to combined operations, allows for differentiated learning.<br><b><i>How to Use It:</i></b><br>Students should begin by completing the section on combining like terms. Then, they should move on to practicing the distributive property. Finally, they should tackle the section that requires both skills. Students should show their work to demonstrate understanding. The worksheet can be used for in-class practice, homework, or review.<br><b><i>Target Users:</i></b><br>This worksheet is designed for middle school and early high school students who are learning or reviewing algebraic concepts. It is beneficial for students who need extra practice in combining like terms and applying the distributive property. It can also be used by teachers as a supplementary resource for algebra instruction.
Grade:
7th
-
9th
204
Practice Combining Like Terms in Expressions

<b><i>What It Is:</i></b><br>This is a math worksheet designed as a 'Simplifying Expressions Pyramid Puzzle.' It features a series of algebraic expressions that students need to simplify. Simplified expressions are provided on separate cards. The student matches the simplified expressions to the original expressions and arranges them in a pyramid shape. Example expressions include: 4(3x-1)-8x+11, -17-32x+12+26, 3(x-2)-2(x)-8+20, and 20 -3(4x+1)-9x+30.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 7-9. It requires a solid understanding of algebraic expressions and the order of operations, which are typically taught in middle school math courses.<br><b><i>Why Use It:</i></b><br>This worksheet provides a fun and engaging way for students to practice simplifying algebraic expressions. The puzzle format encourages problem-solving skills and reinforces the concept of equivalent expressions. It offers a hands-on activity that makes abstract algebra concepts more concrete.<br><b><i>How to Use It:</i></b><br>Students should first simplify each algebraic expression provided. Then, they should match the simplified expression to the corresponding original expression. Finally, they arrange the matching pairs in a pyramid formation, with the original expressions at the top and the simplified expressions forming the base. The separate cards need to be cut out before starting.<br><b><i>Target Users:</i></b><br>This worksheet is ideal for middle school math students who are learning or reviewing how to simplify algebraic expressions. It can be used in the classroom as a group activity, for individual practice, or as a homework assignment. It's also suitable for students who need extra support in algebra.<br>
Grade:
6th
-
9th
1
Combining Like Terms and Distributive Property

3 pages

<b><i>What It Is:</i></b><br>This is a pre-algebra worksheet focusing on simplifying algebraic expressions. The worksheet includes problems that require combining like terms, such as -10b + b and -x - 3x. It also involves applying the distributive property, as seen in problems like 8(x + 10) and -5(-7 + 7a). The worksheet is labeled 'Day 2' and appears to be part of a weekly series.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 7-9, specifically for students learning pre-algebra or introductory algebra concepts. The content involves simplifying expressions, which is a foundational skill in algebra.<br><b><i>Why Use It:</i></b><br>This worksheet provides practice in simplifying algebraic expressions, reinforcing the concepts of combining like terms and using the distributive property. It helps students develop proficiency in these essential algebraic skills, which are crucial for more advanced math topics.<br><b><i>How to Use It:</i></b><br>Students should simplify each expression by first applying the distributive property where applicable and then combining like terms. They should show their work to demonstrate their understanding of the steps involved. The worksheet can be used for in-class practice, homework, or as a review activity.<br><b><i>Target Users:</i></b><br>The target users are pre-algebra and early algebra students who need practice with simplifying expressions. It is also useful for teachers looking for worksheets to reinforce these concepts in their classrooms.
Grade:
7th
-
9th
404
Simplifying Expressions by Combining Like Terms

4 pages

<b><i>What It Is:</i></b><br>This is an algebra worksheet focused on combining like terms. The worksheet presents a series of expressions with variables and constants. Students are instructed to simplify each expression by combining terms with the same variable and combining constant terms. Examples include expressions like -6k + 7k, 12r - 8 - 12, n - 10 + 9n - 3, -4x - 10x, -r - 10r, -2x + 11 + 6x, 11x - 12x, -v + 12v, -8x - 11x, 4p + 2p, 5n + 11n, n + 4 - 9 - 5n, 12r + 5 + 3r - 5, and -5n + 9n + 6. The worksheet includes a space for the student's name, date, and period.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 7-9, specifically for students learning introductory algebra concepts. It reinforces the fundamental skill of combining like terms, which is a crucial building block for more advanced algebraic manipulations.<br><b><i>Why Use It:</i></b><br>This worksheet provides practice in simplifying algebraic expressions. It helps students develop fluency in identifying and combining like terms, improving their algebraic skills and problem-solving abilities. It also reinforces the understanding of variable manipulation and constant arithmetic.<br><b><i>How to Use It:</i></b><br>Students should solve each problem by identifying and combining like terms. They can rewrite each expression, grouping like terms together before performing the addition or subtraction. Students should show their work and write the simplified expression as their final answer.<br><b><i>Target Users:</i></b><br>The target users are students in pre-algebra or algebra I courses who are learning or need to reinforce their skills in combining like terms. It can also be used for review purposes or as a supplementary resource for homeschooling.
Grade:
6th
-
9th
50
Combining Like Terms Practice

<b><i>What It Is:</i></b><br>This is a math worksheet focused on applying the distributive property and combining like terms. It contains 12 algebraic expressions, each requiring the student to first distribute and then simplify by combining like terms. Examples include 2(5x + 10), -6(6 + 4x), and -4(1 - 8x) - 4(8x + 4).<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 7-9, particularly for students learning or practicing algebra. The complexity of the expressions and the need to apply the distributive property and combine like terms makes it appropriate for middle school and early high school levels.<br><b><i>Why Use It:</i></b><br>This worksheet provides practice in applying the distributive property, a fundamental concept in algebra. It reinforces the skill of combining like terms, essential for simplifying expressions and solving equations. The worksheet helps students develop algebraic manipulation skills and improve their understanding of variable expressions.<br><b><i>How to Use It:</i></b><br>Students should work through each problem individually, first distributing any terms outside parentheses, then identifying and combining like terms to simplify the expression. They can show their work on a separate sheet of paper. The worksheet can be used for in-class practice, homework, or as a review activity.<br><b><i>Target Users:</i></b><br>The target users are students in middle school or early high school algebra courses. It is also suitable for students who need extra practice with the distributive property and combining like terms, or for review purposes. Teachers can use it as a supplementary resource in their algebra curriculum.<br>
Grade:
7th
-
9th
47
Worksheet for Combining Like Terms

<b><i>What It Is:</i></b><br>This is an algebra worksheet focusing on the distributive property and combining like terms. The worksheet presents 12 algebraic expressions that require students to first apply the distributive property and then simplify by combining like terms. The expressions involve variables like x, a, s, u, and n, and include integers and fractions.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 7-9, specifically targeting pre-algebra and algebra 1 students. The concepts of distributive property and combining like terms are typically introduced in these grade levels as foundational skills for more advanced algebra.<br><b><i>Why Use It:</i></b><br>This worksheet reinforces the understanding and application of the distributive property and the ability to combine like terms. It helps students develop algebraic manipulation skills, simplify expressions, and build a solid foundation for solving equations and inequalities. It provides practice in applying these concepts in different contexts.<br><b><i>How to Use It:</i></b><br>Students should first apply the distributive property to eliminate parentheses in each expression. Then, they should identify and combine like terms (terms with the same variable and exponent) to simplify the expression as much as possible. Students should show their work and clearly indicate the final simplified expression.<br><b><i>Target Users:</i></b><br>The target users are middle school and early high school students learning or reviewing the distributive property and combining like terms. It is also suitable for students who need extra practice in algebraic manipulation skills. Teachers can use it as a classroom activity, homework assignment, or review material.
Grade:
7th
-
9th
73
Simplifying Expressions Practice

<b><i>What It Is:</i></b><br>This is an algebra worksheet titled 'Simplifying Expressions #1'. It provides directions to simplify expressions by combining like terms. The worksheet includes examples and ten problems where students must combine terms with the same variables and exponents. Problems involve expressions with variables 'x' and 'y', as well as terms with exponents.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 7-9, particularly for students learning pre-algebra or algebra. It focuses on simplifying algebraic expressions, a fundamental concept in algebra.<br><b><i>Why Use It:</i></b><br>It helps students practice combining like terms in algebraic expressions. It reinforces the understanding of variables, coefficients, and exponents. The worksheet provides practice with different types of expressions, improving algebraic manipulation skills.<br><b><i>How to Use It:</i></b><br>Students should read the directions carefully and follow the examples provided. For each expression, they need to identify and combine like terms, writing the simplified expression on the provided line. Students should pay attention to the signs (+ or -) of each term.<br><b><i>Target Users:</i></b><br>The target users are students in middle school or early high school learning algebra, as well as teachers looking for practice material for their students. It is also suitable for students who need extra practice with simplifying expressions.
Grade:
7th
-
9th
35
Simplifying Expressions: Advanced Techniques

<b><i>What It Is:</i></b><br>This is a math worksheet titled 'Simplifying Expressions #2'. It provides instructions to simplify algebraic expressions by combining like terms. It includes example problems demonstrating how to combine terms with the same variables and exponents. The worksheet contains ten problems where students must simplify expressions like '13x + 3y + 2x' and '4x² + 3y + 5x + 6x²'.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 6-8. It requires an understanding of basic algebraic concepts like variables, coefficients, and exponents, and the ability to identify and combine like terms.<br><b><i>Why Use It:</i></b><br>This worksheet helps students practice and reinforce their skills in simplifying algebraic expressions. It promotes understanding of combining like terms and reinforces the concept that only terms with the same variables and exponents can be combined. It improves algebraic manipulation skills.<br><b><i>How to Use It:</i></b><br>Students should read the directions carefully and follow the examples provided. They should identify like terms in each expression, combine them, and write the simplified expression on the provided line. Students should pay attention to the signs (+ or -) of each term when combining.<br><b><i>Target Users:</i></b><br>The target users are students in middle school (grades 6-8) who are learning about simplifying algebraic expressions. It's useful for students who need extra practice or review of this skill. It is also helpful for teachers to use as a class activity or homework assignment.
Grade:
7th
-
9th
19
Simplify Expressions: Combining Like Terms

<b><i>What It Is:</i></b><br>This is a math worksheet focused on combining like terms and simplifying algebraic expressions. It includes 12 problems where students need to simplify expressions with variables like x, b, m, a, c, p, and q. The worksheet provides space for the student's name, class, and date at the top. The problems involve addition and subtraction of terms with the same variable.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is suitable for grades 6-8. It requires an understanding of basic algebra concepts, including variables, coefficients, and the ability to identify and combine like terms. It is appropriate for students who are learning or reinforcing these concepts.<br><b><i>Why Use It:</i></b><br>This worksheet helps students practice and master the skill of combining like terms, which is a fundamental concept in algebra. It improves their ability to simplify expressions, which is essential for solving equations and more complex algebraic problems. It also reinforces the understanding of variables and coefficients.<br><b><i>How to Use It:</i></b><br>Students should read each problem carefully, identify the like terms (terms with the same variable), and then combine those terms by adding or subtracting their coefficients. They should write the simplified expression as their answer. The worksheet can be used for independent practice, homework, or as part of a classroom lesson on simplifying expressions.<br><b><i>Target Users:</i></b><br>The target users are middle school students (grades 6-8) who are learning or reviewing the concept of combining like terms in algebra. It is also beneficial for students who need extra practice in simplifying algebraic expressions.
Grade:
7th
-
9th
45
Practice Combining Like Terms

6 pages

<b><i>What It Is:</i></b><br>This is an educational worksheet focused on combining like terms in algebraic expressions. It includes examples of combining like terms with variables and constants, emphasizing the commutative property. The worksheet also presents common mistakes made when combining like terms and asks the student to identify them. It also reminds the student to arrange variables in alphabetical order and from greatest to least exponent.<br><b><i>Grade Level Suitability:</i></b><br>This worksheet is most suitable for 6th to 8th grade students. It requires a basic understanding of algebraic expressions, variables, and constants, which are typically introduced in middle school math curricula.<br><b><i>Why Use It:</i></b><br>This worksheet helps students practice and master the skill of combining like terms, a fundamental concept in algebra. It reinforces the importance of the commutative property and identifies common errors, promoting deeper understanding and preventing mistakes.<br><b><i>How to Use It:</i></b><br>Students should first review the definition of combining like terms and the steps involved. They can then work through the examples provided. For the mistake section, students should carefully examine each expression and circle the error, explaining why it's incorrect.<br><b><i>Target Users:</i></b><br>This worksheet is designed for middle school students learning algebra, particularly those struggling with combining like terms. It can also be used for review or as a supplemental resource for homeschooling.
Grade:
7th
-
9th
12