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Single-Step Equation Question Bank, four operations and multiplicative inverse

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ExamView Question Bank File

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This is a fairly exhaustive ExamView question bank containing every permutation of single-step equations with addition, subtraction, multiplication, and division using integers. As always, my goal is that the randomized problems must be consistent across multiple versions of quiz or test in order to enable the accurate assessment of the same skills across all versions. The equations are geared toward Pre-Algebra students or lower level Algebra students.

For example, x - 6 = -13 will always have a negative solution regardless of the random numbers. You don't need to worry that one student has that problem and another has x - 12 = -5 (or worse, x - 12 = 4). While these are perhaps subtle differences on the surface, textbook question banks are notorious for giving wildly different structures on the same problem.

There are 26 addition/subtraction problems running through each possiblity with negatives and positives and also the flipped equation, e.g. x+3=10 and 10 = x+3. This also includes equations with the variable in the first and second positions ( x - 5 = 10 and -5 + x = 10).

There are 16 multiplication and division equations, similarly structured. And, there are eight equations with fractions than can be solved in a single-step using the multiplicative inverse. Half of those have integer solutions; the other half have common fraction or mixed number solutions.

The numbers are relatively small in order to deemphasize computation and focus on concepts and process, instead. You can definitely change the numbers in the algorithm definitions if you want more complex calculations. Though the algorithm design is not as crisp and clean as I planned in many of these, it is certainly possible to make some fairly easy modifications.

Lastly, there are four, very simple randomized word problems, one for each operation. You can easily modify the wording or the randomized items to better meet the interests of your students.

This was created in ExamView 7.5.
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