Quickname: 8621

Suitable for K-12 grades: Grade 7 Grade 8 Grade 9

Junior High School, Middle School, High School.

Expand product term with variables.

A product term whose factors are a product or number and a sum has to be expanded. The term may contain up to three variables.

The shape of the term to be expanded may be one of these:

a) 3*(x+6)

b) 3x*(y+6)

c) 3x*(x+7)

d) 3(2x+3y)

e) 3x(2x+3y)

f) 3(2x+3y+3z)

In the b,c,d and e variants, variables have to be factored out. In the c and e variants, squares of variables may occur.

The term variants that may occur can be specified. The range for the numbers and products can be chosen. There is an option to choose whether negative numbers may be part of the term.

The number of problems is selectable. The first problem can be presented with the answer in the form of a sample problem. If required, some space will be left so that the answer may be written on the sheet.

Tags: Multiplication Rules Terms

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Parameter

Possible values

Number of problems

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

Number range

20, 50, 99, 200, 499, 999, 1999, 4999

Negative numbers allowed

Yes, No

Sample problemt

Yes, No

Space for answer

Yes, No

Problem type

3(x+4), 3(x+4),3y(x+4), 3x(y+4),3x(x+4), 3(y+4),3(2x+3y), 3(2x+3y),3x(2x+3y), 3(2x+3y),3(2x+3y+4z), mixed, mixed no powers

Remark

Description

Name and direct link

Expand and simplify a binomic formula

Apply binomic formula expansion rules to simplify term.

Expand product of two sum terms

Expand a product term which has sums with variables as factors.

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.

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