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.

Challenge your students to think about the meaning of equal sign through the following questions. For each of the following tasks, decide if “=” is used appropriately. Discuss if there would be conditions under which “=” could be used or it is more appropriate to use other symbols.

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Can x=3 be a solution to a system of inequalities?

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Is there a value for x that will make the following statement true?
(6x-8-15x)+12>(6x-8-15x)+6

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Let p and q be odd integers between 20 and 50. For these values, is 5p-q>2p+15 always true, sometimes true or never true?

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Is there a value for x that will make
(2x-6)(x-3)<0 true?

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