# Formative Assessments

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Studies on algebraic thinking typically include assessment problems that are used by researchers to elicit a range of students' understanding and misconceptions. These problems are collected here and can be useful tools for teachers' formative assessment of students' comprehension of algebraic concepts.

If you have “n + 5” |
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Which is larger, 2n or n + 2? |
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Are these two equations equal to each other? |
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Find the next term: |
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If e + f = 8, what does e + f + g = ? |
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ANSWER THE FOLLOWING: |
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Jason uses a simple method to work out problems like 27 + 15 and 34 + 19 in his head. |
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(No assessment provided.) |
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Students are asked to interpret slope within the context of a real world situation. Students are given a road sign from a street in Colorado that says, “7% grade ahead.” |
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Suppose that turtle and rabbit are racing to a pole and back. Suppose turtle travels at 30 ft./sec. on the way there and 50 ft./sec. on the way back. How fast would rabbit have to travel [at constant speed] to tie with turtle. |
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