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Quickname: 8621

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

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

Download free worksheets for this math problem here. There is a second sheet with the solutions. Just click on the respective link.

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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 and simplify binomic formula |

reverse operation: Perform factorisation | Factorise a term with variables | Factorisation of terms |

expand product of two sum terms | Expand a product term which has sums with variables as factors. | Product of two sums term expansion |

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