Quickname: 7813

Suitable for grades: Grade 7, Grade 8, Grade 9

Apply binomic formula expansion rules to simplify term.

Apply the well known binomic formula expansion rules to expand and simplify terms. The summands of the formula's factors will be either a variable and a literal number or both of them will be variables. In no case, both summands will be numbers, which means the expanded term will always contain variables and it does not simplify to a single literal number. The number of problems is selectable. For the types of formulas that will appear it can be specified that only some of the three binomic formulas will be used. Variables that appear will always be named a and b or x and y.

Tags: Multiplication, Polynom, Quadratic functions, Rules, Terms

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Parameter

Possible values

Number of problems

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

Binomic formula types

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

Remark

Description

Name and direct link

fill in blank spaces in binomic formulas

Fill gaps correctly in binomic formulas

get to know the elements of binomic formulas

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

simpler version

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

matching problem: Find correct pairs of binomic formulas and expanded terms

Find matching terms of original and simplified binomic formulas in two lists.

binomic formula is embedded in other term

Simplify a term which contains a binomic formula

the other way round: Specify the binomic formula

A term is given which is the expanded form of a binomic formula. The original binomic formula has to be found.

Name

Title

Description

Binomic formulas: Expand and simplify

This worksheet provides basic exercises to become familiar with the binomic formulas.

Relevance

Name

Description

Quickname

Example

****

Specify binomic formula for expanded term

A term is given which is the expanded form of a binomic formula. The original binomic formula has to be found.

****

Match binomic formula to simplified form

Find matching terms of original and simplified binomic formulas in two lists.

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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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