Use this resource to assess your students level of understanding with factoring polynomials. Below, you will find a description of each assessment. Five exit slips are also included for each type of polynomial. Detailed answer keys are provided.
This eight question assessment provides problems on factoring and solving x^2 + bx + c. Students are asked to factor, solve and check each solution. There is ample room to show work to support each answer. Students are asked to define the zero product property and to describe how they know their answers are correct. A problem gives students the area of a garden written as a trinomial. Students will need to determine the dimensions of the garden and the possible solutions.
This eight question assessment provides problems on factoring and solving ax^2+ bx+ c. Students are asked to factor, solve and check each solution. There is ample room to show work to support each answer. Students are given a problem in which they are asked to identify the greatest common factor and to factor the simplified trinomial. A follow-up question asks students if a similar trinomial was factored correctly. The last problem asks student to determine the height of a triangle if given the area and the base. Students will draw and label a triangle, calculate the height and determine the solutions.
The perfect square trinomial questions (8 total) ask students to factor and solve problems. One question asks students to define a perfect square trinomial and to provide an example. One question asks students how many solutions exist for a perfect square trinomial.
Students will factor and solve difference of two squares problems. One problems asks students to explain how to identify a difference of two squares problem. Students are also asked to explain why a difference of two squares problem produces a special product. Another problem asks students why x^2+ 81 would not be considered a difference of two squares problem.
This four question assessment asks students to explain when it would be best to use factoring by grouping. They are asked to provide an example with their explanation. Two problems ask students to factor and solve the polynomial equation completely. They both have a difference of two squares factor within the factoring resulting in three solutions. The last question asks students to use grouping to change a^2+ 2ab + b2 to (a + b)^2.
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