Quickname: 6275

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

A term is made up of sums of multiples of powers of variables. 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. It can be used for different grades 6 - 8 to practice the skill of combining like terms in groups, or independent activity. Here are some results that can be achieved by mastering these tasks.

- The addition and subtraction of integers are revised.
- Understanding of like terms by comparing variables and exponent is recalled.
- 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 4 to 10.
- Choose exponents from 1 to 4.

The answer key provides a simplified expression with unique terms.

Tags: Addition Rules Subtraction Terms

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Parameter

Possible values

Number of problems

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Number of variables

2, 3, 4, 5, 6

Number of summands

4, 5, 6, 7, 8, 9, 10

Greatest exponent

1, 2, 3, 4

Remark

Description

Name and direct link

With negated terms in brackets

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

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.

With a single product term only

A product term with number literals and variables as factors has to be simplified.

Relevance

Name

Description

Quickname

Example

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Shade given fractions of a shape

An image of s subdivided shape is shown. Shade according to given fraction.

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Combine like terms with negated brackets

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

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Determine shapes with same shaded fraction

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

You may pass on the worksheets offered for download on this page to others, but not modify or sell them.

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.

Deutsche Version dieser Aufgabe

These informational pages with samples describe math problems that can be combined on custom math worksheets with solutions for home and K-12 school use.

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Please visit the dw math main page for more information!

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