Quickname: 6625

Suitable for K-12 grades: Grade 5 Grade 6 Grade 7

Elementary School, Primary School, Junior High School, Middle School, High School.

Combine like terms in a sum term and expand terms in negated brackets

A term is made up of sums of multiples of powers of variables. Subterms in brackets may occur that have a negative sign. These bracketed terms have to be expanded properly. Like terms are terms that contain the same variables with the same exponents with different or same coefficients.

Like terms have to be combined to get the least number of terms possible. An upper limit may be specified to the greatest possible exponent so that terms with no exponents beyond one can be presented as a problem.

This simplifying algebraic expressions problem will strengthen skills at combining like terms and using brackets. It can be used in grades 5-7 to practice the skill of combining like terms with or without brackets in groups, or independent activity. Here are some results that can be achieved by mastering these types of problems.

- The addition and subtraction of integers are revised.
- Understanding of like terms by comparing variables and exponent is recalled.
- Multiplication of signs is learned through this worksheet when dealing with brackets.

- Apply the PEMDAS/BEDMAS/BODMAS rule to solve terms inside the brackets first.
- Learn to use the commutative property to move all like terms together.
- Practice adding the coefficients of like terms.
- Learn to tidy up an expression or equation and make it more workable.

Personalize these worksheets to achieve differentiated learning outcomes.

- The number of problems from 1 to 10
- The number of variables from 2 to 6.
- The number of summands from 2, 3, 4.
- Choose exponents from 1 to 4.

The answer key provides a simplified expression with unique terms.

The above acronyms for the rules of precedence expand as follows for different countries:

- PEMDAS
- Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
- BEDMAS
- Brackets, Exponents, Division/Multiplication, Addition/Subtraction
- BODMAS
- Brackets, Order, Division/Multiplication, Addition/Subtraction

Tags: Addition Rules Subtraction Terms

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Parameter

Possible values

Number of problems

1, 2, 3, 4, 5

Number of variables

2, 3, 4, 5, 6

Number of summands

2, 3, 4

Greatest exponent

1, 2, 3, 4

Remark

Description

Name and direct link

More complex with sum and product terms

Expand a term with sums and products with numbers and variables. Combine like terms to simplify the result.

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Example

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In a series of shapes find the two shapes that represent the same fraction.

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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