This set of math practice sheets provides practice with solving linear equations, when two steps (multiplication/division and addition/subtraction) are required to find the solution. It is aligned to the 7th grade common core standard 7.EE.4a (“Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers. Solve equations of these forms fluently.”) and the 8th grade common core standard 8.EE.7 (“Solve linear equations in one variable.”).
Each practice sheet has 20 problems, and there are ten practice sheets at each of three difficulty levels, for a total of 600 practice problems. The practice sheets are provided a in worksheet format (all the problems on one page) and a two-column "test" format that includes multiple choice answers. Answer keys and an optional student answer sheet are also included.
Use these sheets for basic skills practice, spiraled practice, an additional practice resource for students who haven't mastered the skill yet, etc. The three different difficulties can be used to assist in differentiating or scaffolding students to reaching the highest difficulty.
If you would like to see what the sheets will look like, check out the Sample, or look at the free download of Whole Number Addition.
The three different difficulty levels are labeled by "Version" -
Version A – This is the easiest version. The solution will be an integer between -50 and 50, the coefficient of x will be an integer between 2 and 5, and the constant will be an integer between 1 and 10.
Version B – This is the middle version. The solution will be an integer or a half (ex: 10.5) between -150 and 150, the coefficient of x will be an integer between 2 and 10, and the constant will be an integer or a half between 1 and 15.
Version C – This is the hardest version. The solution will be a decimal (max 2 places) between -200 and 200, the coefficient of x will be a decimal (max 1 place) between 2 and 10, and the constant will be a decimal (max 1 place) between 1 and 20.
In other words the practice sheet labeled “Version B5” is the fifth of ten practice sets that are of middle difficulty.
Each practice set contains a worksheet with the equations to solve listed in an open-response format as well as a two-column test format, with multiple choice answers. The distractors are picked to represent common student mistakes (e.g. executing operations in the incorrect order).
In the zip file, you will find the following files:
All – Worksheet Format: All 30 of the practice sets, in worksheet format. This format has all 20 problems arranged on a single page.
All – Multi Choice Test Format: All 30 of the practice sets, in test format. This format arranges the problems in a two column layout, with fewer problems per page. The test format also includes multiple choice answers.
All – Answer Keys: Answer keys for all 30 problem sets.
Blank Answer Sheet: A blank answer sheet document to use with students, if desired, to record their answers on a separate sheet of paper. Contains both a multiple choice and an open response answer sheet.
Version A: A folder which contains all the documents pertaining to all the “Version A Difficulty” practice sets (worksheet, test, and answer sheet), with each set in its own document.
Version B: A folder which contains all the documents pertaining to all the “Version B Difficulty” practice sets, with each set in its own document.
Version C: A folder which contains all the documents pertaining to all the “Version C Difficulty” practice sets, with each set in its own document.