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Students can practice identifying equivalent expressions with this differentiated sort activity. Twenty expressions are sorted and matched into pairs of factored and expanded expressions. Space is provided for students to record the ten pairs. A third column is given for students to write an additional equivalent expression.
One sort includes problems such as 10(10x + 12y) = 100x + 120y. The second sort has problems that include two variables such as -17xy – 34x = -17x(y + 2). The last page can be used in a variety of ways. As a class, an expression can be factored by listing out the factors and identifying the greatest common factor. Some additional problems have students look at the perimeters of shapes in order to write expressions in expanded and factored form.
An answer key is provided.
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