This is a fun game called “Knock Down the Skittles” on multiplying and dividing rational expressions. The problem pages/slides are three. On each page/slide students are given four problems, pictures of five skittles and five answer choices each written below each skittle. Students perform the indicated operation solving a problem and search for the answer they have obtained. They will find their answer written below some of the skittles. Students are said to “knock down” this skittle (they can scratch it off/strike it through). One of the skittles can not be “knocked down” as below it is written a false answer. If students solve all the problems on the page/slide correctly they will find out which one is this skittle. Finally students are asked to connect each problem with its answer drawing a line (students can use and another way to match the problems with their answers for instance marking the problem and its answer the same symbol or color). There are included three answer key pages/slides at the end of this document. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two or three slides on a page for easy and more economic printing!

This is a partner activity on dividing polynomials (no remainders) called “Get the Same Answer”. There are three problem pages/slides as each page/slide contains four sections. In each section are gven one problem for partner A and one problem for partner B. The partners’ problems of one section are very similar. Partners are asked to perform the division operation and then to compare their answers. There is an empty box provided in each section where partners can record their one and the same answer. Problems increase in difficulty with each section. Dividends are polynomials from 2nd to 6th degrees and divisors are linear, quadratic and cubic binomials and quadratic trinomials. Answer key is included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.

This is an engaging 4 levels practice on simplifying rational expressions. On the first page/slide (problems level 1) students are given 6 rational fractions. Students will need to factor out a GCF in the numerator and denominator and then to cancel the common factor to simplify. On the second page/slide (level 2) students will need to use the difference of squares formula and factoring out a GCF to simplify 6 rational fractions. On the third page/slide students have to factor the numerators and denominators of 6 rational fractions which are quadratic trinomials. And on fourth page/slide (problems level 4) students use the formulas for sum and difference of cubes to simplify the last 6 rational expressions. Some problems require using the polynomial identities for square of sum and square of difference. This product can be used for independent practice, extra practice, enrichment, group work and homework. The answer key is contained at the end of this document. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two or three slides on a page for easy and more economic printing!

These are Australian animals themed task cards on operations with rational expressions. Students will practice adding, subtracting, multiplying, and dividing rational expressions. There are given twelve expressions as four of them are more challenging (including three fractions or including expressions within parentheses). Students will need to consider the order of operations to simplify the expressions correctly. The cards can be used for independent work or classwork. Student recording sheet and full typed solutions are included.

This is an engaging and collaborative partner activity for students to practice solving matrix equations. There are a total of 16 problems including matrices with dimensions 2x2, 4x1, 1x4, 3x3, 2x4, 4x2. Eight of the problems require adding , subtracting, and multiplying by a scalar to solve the problems. The other eight problems require finding the inverse to solve the problems. The equations are of types AX=B and XA=B. Six of the equations require finding the inverse of 2x2 matrices and two of the problems require finding the inverse of a 3x3 matrix. There are 8 sections. In a section each partner is given an equation to solve. Partner A solves for the matrix X and partner B solves for the matrix Y. For each section, a partner checks whether his answer is a matrix transpose of the matrix that his partner has found. Student recording sheet and answer keys are provided.

This is a multiple-choice fun St. Valentine’s Day activity on evaluating polynomial functions. On each page/slide students are given one polynomial to evaluate for a given value of x. Students are asked to use substitution or synthetic division or both methods. There is given a picture of heart and faces of a girl and a boy inside the heart, students also have four answer choices and love words corresponding to each answer choice. Students have to use their answer to find what love words has the boy said to the girl on St. Valentine’s Day. The pages/slides with problems are eight. Students can draw a shape of a heart to mark their answer choice in each slide. The polynomials included are of 3th, 4th, 5th, 6th and 8th degree, the number of terms are from 4 to 6. This activity can be completed individually or students can work in pairs (partner A will evaluate the polynomial using substitution and partner B will evaluate the same polynomial using synthetic division, then partners compare their answers and choose the correct answer choice; on the next page/slide partner A will use synthetic division and partner B will use substitution to solve the problem. Thus partners will practice both methods and will enjoy this activity together. I think this activity can be used in all days of school year. The answer key is given at the end of this document. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two or three slides on a page for easy and more economic printing!

This is a fun and challenging matching game called “Put my Hat on my Head”. It consists of 20 problems in which students practice simplifying expressions with complex numbers. The problems require adding, subtracting, multiplying and dividing complex numbers. Seven of the problems require rationalizing the denominator. Nine of the problems require knowledge of powers of imaginary numbers. None of the problems require simplifying radicals. ( The problems are a bit more complicated than ordinary examples! ) Activity Directions: Students are asked to write each of 20 given expressions as a complex number in standard form. They are also given two pictures – one with men heads labeled with the letters of the problems and one with hats on which are written the answers. Students cut out the hats to “put” each hat “on the head” of the man it belongs to (match answers with problems). This activity can be completed individually or in pairs. Answer keys are included. I hope you and your students enjoy!

This is an engaging autumn teddy bear themed five levels practice on factoring polynomials by factoring out the greatest common factor. There are five problem pages/slides as each page/slide contains six problems labeled with A,B,C,D,E and F. On the first page/slide the problems are of level 1 where the CGF is a first degree monomial in one variable. On the second page/slide the problems are of level 2, the third page/slide are level three problems as the GCF is a second and higher degree monomial in one variable. Page 4/Slide 4 are level 4 problems where the GCF is a second and higher degree monomial of two and three variables and on page 5/slide 5 there are problems level 5 as the GCF is a second or higher degree monomial of two and three variables multipled by a constant. There is an empty answer box provided below each problem where students can record their answers. This activity can be completed independently or students can work in groups of two or three. Answer keys are included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two or three slides on a page for easy and more economic printing!

These are funny alphabet themed task cards on factoring polynomials using the difference of squares formula. The expressions are 26 and are labeled with alphabet letters. There are given from 4 to 5 expressions per page/slide as the problems increase in difficulty with each next page/slide. Students can work independently or in groups with the cards/slides. The last four problems are evaluating numerical expressions by the difference of squares formula (expressions like 639^2 - 361^2). Students are given two tables where they can record their answers. (Students can show work on separated sheet of paper). Answer keys are contained at the end of this document. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two or three slides on a page for easy and more economic printing!

These are 6 St. Valentine’s Day themed task cards on factoring. Each card contains 4 problems - A,B,C and D problems. Problems A are factoring by factoring out the GCF, problems B are factoring by grouping, problems C are factoring quadratic trinomials and problems D are factoring by using the formula for difference of squares. The cards can be used as an independent/extra practice for review or students can work with the cards in groups of 2,3 or 4. Answer keys are included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two or three slides on a page for easy and more economic printing!

This resource includes an engaging practice on quadratic equations with complex solutions containing 32 problems and homework assignment with 16 problems. Students will solve quadratic equations by the square root method, by completing the square and by the quadratic formula. The practice problems are classified/arranged by type: A. quadratic equations having b=0 and ac>0 (8 problems) B. the real and imaginary parts of the complex roots of a quadratic equation are both rational numbers ( √D= ai , a - a whole number) (8 problems, level 1) C. the real and/or imaginary part(s) of the complex roots of a quadratic equation is/are irrational number(s) ( √D= √a i , a - a whole number) (8 problems, level 2) D. finding a quadratic equations with given the pair of roots (8 problems) The practice sheets give room for students to show work. The product can be used as a classwork, independent practice, for practice after teaching a lesson on quadratic equations with complex solutions/roots, homework assignment and assessment. Answer keys are included.

This resource contains total of 36 problems. Students will practice solving quadratic inequalities with one variable algebraically. They are asked to write the solution sets using interval notation. Problems of various difficulty are classified into 3 different categories according to whether discriminant is positive, zero or negative. There is also included review problems (mixed inequalities where discriminant is positive, zero or negative). ⟐ The first worksheet has the students solving 8 quadratic inequalities. It’s given that D > 0. ⟐ The second worksheet is finding the solution sets of each of 10 quadratic inequalities. It is indicated that D = 0. ⟐ The third worksheet has the students solving 10 quadratic inequalities. Given that D < 0. ⟐ The fourth worksheet contains 8 review problems - mixed quadratic inequalities. Students have to determine whether discriminant is positive, zero or negative and solve the problems. The product can be used in class for cooperative learning , as a group activity or an independent practice, review, an assessment or homework assignment. Answer keys are included.

This resource contains total of 28 problems. Students will practice solving irrational or radical inequalities algebraically. They are asked to write the solution sets using interval notation. Problems of various difficulty are classified into 4 different types: ⟐ The first worksheet has the students solving 8 radical inequalities of type Radicand (Linear Function) > or < Constant , Radicand (Linear Function) >= or =< Constant ⟐ The second worksheet is finding the solution sets of each of 8 radical inequalities of type Radicand (Quadratic Function) > or < Constant, Radicand (Quadratic Function) >= or =< Constant ⟐ The third worksheet has the students solving 6 irrational inequalities of type Radicand (Linear Function) > or < Linear Function, Radicand (Linear Function) >= or =< Linear Function ⟐ The fourth worksheet contains 6 problems of type Radicand (Quadratic Function) > or < Quadratic Function, Radicand (Quadratic Function) >= or =< Quadratic Function The product can be used in class for cooperative learning, as a partner or group activity, independent practice, an assessment or homework assignment. Typed answer keys are provided.

This activity practices solving complete quadratic equations by all methods. All the equations have terms on both sides. Partners have similar type of problems so as to meet similar difficulties. They will each have their own set of three groups of six equations which must be solved by a specified method.The amusing part of this product is creating compound words corresponding to each solution set of the quadratic equations given. Activity Directions: Partners start solving their own set of three groups of six equations by a specified method. Once students has found the solution set of each equation, they are given two tables to use. There is a word corresponding to each number written in table 1. Using this table, students find which two words correspond to each solution set of their equations and make compound words. They record the solution set of each quadratic equation and write down the compound word corresponding to it in table 2 . Students show down detailed solutions on student recording sheets specially designed for this activity or they can solve the problems on a separate sheet of notebook paper. All answer keys are provided. You can split this activity into two or three parts!

This resource contains total of 32 problems. Students will practice solving rational inequalities algebraically. They are asked to write the solution sets using interval notation. The problems are classified into 3 categories according to the form of the inequalities. The examples include first, second, third, fourth and sixth - degree polynomials. ⟐ The first and second worksheets have the students solving a total of 16 inequalities in factored and general form ( level 1 & level 2). ⟐ The third worksheet is finding the solution sets of 8 inequalities in general and not factored form. ⟐ The fourth worksheet contains 8 inequalities written in not general form. The product can be used in a variety of ways – in class for cooperative learning , as a partner or a group activity, independent practice or homework assignment. Typed answer keys are included.

This resource contains 50 questions. It focuses on solving polynomial equations in factored form by using the zero product property. The problems are classified into 3 categories according to the types of roots of polynomial equations. ⟐ The first worksheet has the students solving 10 polynomial equations with real solutions in factored form (equations type 1). ⟐ The second and third worksheets (two different variants/forms) are finding the real solutions of each of 8 polynomial equations (equations type 1). Some problems become more difficult to solve as may require use of factoring techniques, including GCF, difference of two squares and factoring quadratic trinomials or using the quadratic formula. These two worksheets can be used as a partner practice. ⟐ The forth worksheet has the students solving 8 equations with imaginary and complex solutions (equations type 2). ⟐ The fifth and sixth worksheets (two different variants/forms) are finding the real , imaginary and complex solutions (equations type 3) of each of 8 polynomial equations. Some problems become more difficult to solve as may require use of factoring techniques, including difference of two squares, sum & difference of cubes, factoring quadratic trinomials and using the quadratic formula. These two worksheets can be used as a partner activity. The product can be used in class for cooperative learning , as a partner or a group activity, independent (extra) practice, enrichment or homework assignment. Typed answer keys are included.

This activity practices solving trigonometric equations of quadratic type. It includes multiple - choice with twelve equations and a brief story about the history of trigonometry to be completed. The equations require the use of Pythagorean, reciprocal, quotient, double angle identities and the quadratic formula. Problems range in difficulty. Activity Directions: Students must solve all the problems and find specific solutions. The answers they get will give them pieces of a brief story about history of trigonometry. Studying the history of trigonometry will throw light on the nature of the discipline. It will help students gain a deeper understanding of the trigonometry they have already studied by seeing how it was developed over time. Recording sheets are provided for students to show all work. An answer key is included. This activity can be used as individual practice, as a partner activity (each partner will get a sheet that has only six equations to solve) or in small groups of 3. It could also be used as an assessment.

In this activity students will practice solving radical equations with one and two radical terms resulting in quadratics. The radical equations contain: a monomial, a binomial and a trinomial under a radical symbol one and/or two radical expressions on one side of the equation and a monomial or a binomial on the other side radical expressions on the both sides of the equations (“radical equals radical”) Half of the equations require squaring once and the other half – squaring twice. Extraneous solutions are purposely NOT included, however partners will need to check their answers. The enjoyable part of this product is creating compound words corresponding to each solution set of the quadratic equations given. Activity Directions: Partners start solving their own set of twelve equations. (They have similar type of problems so they will meet similar difficulties). Once students has found the solution set of each equation, they are given two tables to use. There is a word corresponding to each number written in table 1 . Using this table, students find which two words correspond to each solution set of their equations and make compound words. They record the solution set of each quadratic equation and write down the compound word corresponding to it in table 2 . Students show down detailed solutions on student recording sheets specially designed for this activity. Answer keys are provided.

This activity practices solving logarithmic equations (24 problems) using the properties of logarithms: • Zero- Exponent Rule • Product Rule • Quotient Rule • Power Rule • One - To - One Property Some of the equations need to be transformed from the logarithmic to exponential form. All of the equations result in quadratics. Extraneous solutions are NOT included, however students must check answers or determine the domain of the respective logarithmic functions. Common logarithms are included. The amusing part of this product is creating compound words corresponding to each solution set of the quadratic equations given. Activity Directions: Partners start solving their own set of twelve equations. (They have similar type of problems so to meet similar difficulties). Once students has found the solution set of each equation, they are given two tables to use. There is a word corresponding to each number written in table 1 . Using this table, students find which two words correspond to each solution set of their equations and make compound words. They record the solution set of each quadratic equation and write down the compound word corresponding to it in table 2 . Students show down detailed solutions on student recording sheets specially designed for this activity. Answer keys are provided.

This activity practices solving exponential equations with same base and with different bases without using logarithms. It requires knowledge of the properties of exponents. All exponential equations given are reducible to quadratic equations with two distinct rational roots. Partners have their own set of two groups of equations. The FIRST GROUP contains equations which have exponential expressions with same bases and the SECOND GROUP of equations is more challenging as having exponential expressions with different bases. The amusing part of this activity is creating compound words corresponding to each solution set of the exponential equations given. All answer keys are included. I hope you and your students enjoy this activity.