# 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.

Given 5a = b + 5, which is larger: a or b? |
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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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Is there a value for x that will make (2x – 6)(x – 3) < 0 true? |
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p and q are 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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For the equation 2(x + 1) + 4 = 12, identify all possible steps that could be done next. |
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3( x + 2) = 12 |
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Solve this equation in two different ways: |
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If m is a positive number, which of these is equivalent to (the same as) m + m + m + m? |
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Here are two equations: |
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Question 1a: Write a story problem that can be formulated by the equation: x+5=8. |
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