# 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.

Compare the functions in the family ga(x)=xn+ax for several fixed values of n. |
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Consider the sequence of W-patterns. |
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1. (a) If y is increased by t, find an expression for 3y2+2y. |
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2) A school with 345 students had a sports day. The students chose between football, swimming, and bike riding. Twice as many students chose basketball as bicycling, and there are 30 fewer students who chose swimming than football. 120 students went swimming. How many students chose football? |
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Problem 3: Grandmother Rachel mixed 20 kilograms of jam containing 15% of sugar with 15 kilograms of jam containing 40% of sugar. How many kilograms of |
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Problem 2: One of the workers in the jam factory mixed one barrel of jam containing 14% of sugar with another barrel of jam containing 30% of sugar. The new |
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2. If f(1)=5 and f(x+1)=2f(x), find the value of f(3). |
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For Groups Q and R: |
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Group R:For first year university students |
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Group Q: For upper secondary school (age 16-18 years) |
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