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Name Period Date Combining Like Terms and Distributive Property Classwork Part I: Combine Like Terms 1. 3 m 6 m 2. 14k + 12 10k 3. 21 3a + 7 4. 5j 10 + 4j + 20 5. 24s + 6 + 9 4s 6. 17x 5x + 3 7.
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How to Fill Out Combining Like Terms:
01
Identify the terms: Start by looking for terms in the expression that have similar variables and exponents. For example, if you have terms like 3x, 4x, and 5x, they can be combined because they all have the variable x.
02
Combine coefficients: Add or subtract the coefficients of the terms that have the same variable. For example, if you have the terms 3x and 5x, you can combine them to get 8x.
03
Retain the variable: Keep the variable the same when combining terms. For example, if you have the terms 2x^2 and 3x^2, combine them to get 5x^2. The variable remains the same while the coefficients are added together.
04
Simplify constants: If there are any constants, such as 5 or -2, without any variables, combine them separately. For example, if you have the terms 4 and -3, combine them to get 1.
05
Write the simplified expression: Once you have combined all the like terms, write the simplified expression without any duplicate terms. For example, if you had the terms 3x, 5x, and 2, the simplified expression would be 8x + 2.
Who Needs Combining Like Terms:
01
Students studying algebra: Combining like terms is an essential skill in algebra. It helps simplify expressions and solve equations more efficiently. Students learning algebraic concepts like simplifying expressions, solving equations, or graphing functions would greatly benefit from understanding how to combine like terms.
02
Those working with equations: Combining like terms is often used when working with equations in various fields such as physics, engineering, and finance. By combining like terms, equations can be simplified, making them easier to manipulate and solve. Professionals in these fields need to be proficient in combining like terms to perform accurate calculations.
03
Individuals preparing for standardized tests: Standardized tests like the SAT, ACT, or GRE often include questions that require combining like terms. Being familiar with this concept can help test-takers solve algebraic problems more quickly and effectively, contributing to higher scores. Therefore, individuals preparing for these exams should understand and practice combining like terms.
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What is combining like terms and?
Combining like terms is the process of simplifying expressions by adding or subtracting terms that have the same variables raised to the same powers.
Who is required to file combining like terms and?
Anyone working with algebraic expressions, equations, or formulas may need to combine like terms.
How to fill out combining like terms and?
To fill out combining like terms, identify terms with the same variables and powers, then add or subtract those terms.
What is the purpose of combining like terms and?
The purpose of combining like terms is to simplify expressions and make them easier to work with or evaluate.
What information must be reported on combining like terms and?
The information reported on combining like terms includes the terms being combined, the variables involved, and any coefficients or constants.
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