Custom math worksheets at your fingertips
dw-Math logo

Details for problem "Solve linear equation with distributive element"

Quickname: 3102

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


Solve a linear equation step-by-step by performing equivalent transformations.



In a linear equation with one unknown variable, the value of the variable must be determined. The linear equation is formed by a sum of terms of the form ax and/or a on both sides of the equality sign. In addition, there is also a summand in the form of a distributive element a(x+b). By expanding the distributive element, combining like terms and performing equivalence transformation, the equation is to be brought into the form x=c, with c being a whole number. This term represents the solution of the equation. A corresponding note to use the technique of equivalent transformation can be given or omitted in the problem statement. The number of terms to the left and right of the equality sign that appear together with the distributive element can be predetermined. If desired, only the variable x appears as an unknown in order not to confuse. The individual steps of the solution process can be selected to be - not shown at all - shown only in the solution or - shown on the worksheet as well as on the solution sheet. On the worksheet, they will be presented as gap text. The steps of equivalent transformations are shown in the order: - multipy out/expand the distributive element - summarize and rearrange, combine like terms - move constant to the right side of the equality sign - move variable elements to the left of the equality sign - divide by the factor of the variable The solution is always a whole number.

Topics: Algebra, Equations

Tags: Polynom, Rules, Terms

Free worksheets and solution sheets with answers for download

Download free worksheets for this math problem here. The worksheet contains the problems only, the solutions sheet includes the answers. Just click on the respective link.

If you can not see the solution sheets for download, they may be filtered out by an ad blocker that you may have installed. If this is the case, please allow ads for this page and reload the page. The solution sheets will then reappear.

With a free initial credit, you can start creating your own math worksheets in a few minutes.

It does not cost anything to try! Register here, to create custom worksheets now!

Customization options for this problem

Possible values
Number of problems
1, 2, 3, 4, 5, 6
Mention equivalent transformation
Yes, No
Show calculation steps
no, with solution, with problem&solution
Variable always x
Yes, No
Extra terms
1, 2, 3, 4, 5, 6
Distributive element always first
Yes, No

Similar problems

Name and direct link
simpler variant, without the distributive element
Solve a linear equation step-by-step by performing equivalent transformations.

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 school use.
Please visit the dw math main page for more information!
Privacy Policy and Imprint
Deutsche Seiten