Quickname: 7596

Suitable for K-12 grades: Grade 6 Grade 7 Grade 8

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

Elements of a binomic formula and their expanded form are grouped in a table. Fill the empty spaces.

In a tabular form, structural elements of binomic formulas in parentheses and expanded form like

- binomic formular in parentheses form

- a

- b

- 2ab

- a^2

- b^2

- expanded form

are shown as captions for a table. The task is, for a given binomic formular, to identify these structural elements and fill in the table's columns accordingly.

In every row of the table, depending on the problem statement, some elements will be given, some will be left blank to be filled in.

Fot the problem generation, it is selectable if a and b will be simple literal numbers or variables or multiples of variables. The first problem may serve as an example and will then presented as a fully populated row.

The number of problems is selectable, and the types of formulas to be used.

Tags: Addition Multiplication Quadratic functions Rules Subtraction

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Parameter

Possible values

Number of problems

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

Type of formula

(a+b)^2 & (a-b)^2, (a+b)(a-b)

Columns provided

parentheses form, expanded, a,b, a^2, b^2, mix of a,a^2,b,b^2, random

Summands

simple var/number, product of var/number

Sample problem

Yes, No

Remark

Description

Name and direct link

Expansion of simple binomic formulas

Apply binomic formula expansion rules to simplify term.

Expansion of binomic formulas with complex terms

Apply binomic formula expansion rules to simplify term. Advanced version mit multiples of variables as summands.

Name

Title

Description

Binomic formulas: Advanced applications

Use the binomic formulas to simplify and expand terms.

Relevance

Name

Description

Quickname

Example

****

Expand and simplify binomic formula, advanced

Apply binomic formula expansion rules to simplify term. Advanced version mit multiples of variables as summands.

****

Extract binomic formula from term

A binomic formula is hidden in a term. Factor out the binomic formular or extract the summand.

****

Simplify term with binomic formula, combine like terms

Simplify a term which contains a binomic formula

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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