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!

This is a fun and engaging activity on simplifying complex fractions. On each page/slide students are given a complex fraction to simplify and a picture of an animal holding a blank sign on which is written an answer. There are also two buttons labeled “Right” and “Wrong”. Students have to determine whether the animal “saying” the answer is right or wrong and then to strike through one of the buttons. The pages/slides are 12 as the problems increase in difficulty with each next page/slide. 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!

Students will review and practice the short multiplication formulas with this engaging circus animals themed activity. On each page/slide students use the indicated short multiplication formula to simplify six expressions (page/slide 1 problems use the square of a sum formula, page/slide 2 problems use the square of a difference formula, page/slide 3 - product of the sum and difference of two terms, page/slide 4 - cube of a sum, page/slide 5 - cube of a difference, page/slide 6 - sum of cubes and page/slide 7 - difference of cubes formula). This activity can be completed independenlty (some of the problems can be solved as classwork and the rest - as homework) or as the problems are many and challenging it will be great if students can work in groups. Students can type their answers in the empty boxes of tables provided. 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 is an engaging practice on applying the difference of squares formula. It consists of 2 parts as each part contains two tasks. The first part is applying the formula (a - b)(a+b)=a^2 - b^2 to simplify expressions and the second part is applying the formula a^2 - b^2=(a -b)(a+b) to factorize expressions. Detailed description: Part 1 Task 1. Students have to apply the difference of squares formula to simplify 9 expressions (problems level 1). Task 2. Students have to simplify 6 expressions as they will have to multiply binomials and also use the formulas for square of sum and square of difference (problems level 2). Part 2 Task 1. Students have to factorize 9 expressions (problems level 1). Task 2. Students will need to apply the difference of squares formula from left to right and from right to left to solve 6 equations (problems level 2). They will use the square of sum formula once and the square of difference formula also once. The practice sheets give room for students to show work. Answer keys are included.

These are two similar forms of engaging practice on polynomial identities – square of a difference. Each form contains 7 problems. Students are asked to expand and simplify 6 expressions. The questions are of varying difficulty, ranging from simple to complex. Student will be required to apply their knowledge of multiplying monomial by binomial and adding and subtracting polynomials. The seventh problem is evaluating the value of an expression with two variables given the values of the variables. The product can be used as an extra/independent practice, for group activity (groups of two), quiz, enrichment and homework assignment. Answer keys are included.

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 a soccer balls themed maze on simplifying rational expressions. Students start solving and use each answer to navigate through the maze. Students will need to solve 12 problems properly to complete the maze. Students can draw a colored line to display their answer path. 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 party animals themed 5 levels practice on applying the distributive property of multiplication. Each page/slide contains 7 problems of one and the same level. The first page/slide are problems of level 1, the 2nd page/slide are problems of level 2 and etc. Each page/slide contains 7 problems. Students can type their answers in the tables provided on each page/slide. Detailed description of the problems: 1 level are expressions of type a(x+b), where and a and b are positive integers; 2 level are expressions of type a(±x+c), where a and/or c can be negative integers; 3 level are expressions of type a(bx+c), where a, b and c can be positive or negative integers; 4 level are expressions of type a(bx+c) where a, b or c can be decimals; 5 level are expressions of type a(bx+c) where a is a fraction and b and c are integers. Answer key is included. This resource can be used individually or students can work in pairs. The practice can be given as homework as well. 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 an engaging teacher and board themed activity on solving matrix equations. There are four problem pages/slides. On the first page/slide, students are given four matrix equations of types A+X=B, X-A=B and A-X=B. Students are also given the answers and have to type the number of each problem next to its answer (matching). The matrices are of 2X2 dimensions. On the second page/slide, students are given three matrix equations of the same types as the matrices are 3X2, 2X3 and 3X3 dimensions. This time students have to answer three questions concerning the answers (like what is the sum of the elements of the obtained matrix X of problem 1). On the third page/slide, students have to solve 4 matrix equations of types AX=B and XA=B. They will need to find the inverse matrix of the matrix A and them to multiply A^(-1)B or BA^(-1). Students are given the answers and have to match each problem with its answer. And on the fourth page/slide, students have two matrix equations of types AX=B and XA=B as the matrices are of 3x3 dimensions. After solving the equations students are asked two questions concerning the obtained answers (like what is the sum a11+a22+a33 of the elements of the matrix X of problem 1). Students type their findings in empty boxes provided. This activity can be completed individually or students can work in pairs. 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 is an engaging and fun group activity (maximum of 5 members) on multiplying polynomials. The first page/slide is a table as the first column of it are given polynomials from A to G, the first row are given polynomials from H to L (the cell 11 is empty). There is a picture of an animal in each of the other cells. Students have to find the polynomial of each animal finding each of the products AH, BH,…AJ, BJ…,etc. Each member of the group have to find the polynomials of 7 animals (the teacher can chose which to be the animals). I have included one page/slide sample and another page where the teacher to chose the tasks of each member of the group. There is else one page/slide with questions to the group like how many animals have polynomials of third degree and which of the animals have sixth degree polynomials. There are provided empty boxes where students to record their answers. This activity can be also used as independent practice along with homework (the students can find the polynomials of some of the animals and the rest of the problems can be done as homework). 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 is an engaging activity on multiplying polynomials. Students are given 2 pages/slides with 16 problems - 4 levels as there are 4 problems for each level. Each problem correctly solved gives points (problem of level 1 gives 1 point, level 2 problem - 1.5 points, level 3 problem - 2 points and level 4 problem - 3 points). So students try to get as many points as they can. There are 4 pages/slides included where students can build the answer of each problem using monomials given. This activity can be completed individually (maximum efforts) or students can work in groups of 2 or 4. If students work in pairs there will be two problems of each level for each partner to solve (optimum pressure). If students work in groups of four there will be only one problem of each level for each member of the group (minimum pressure). This activity can also be turned to competition between groups (which group will finish first or will get maximum points). 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 is an engaging practice on radical expressions. On the first page/slide students are given two tasks. The first task is finding the domain of 6 irrational expressions the second task is rationalizing the denominator of 8 expressions. On the second page/slide students have another two tasks. The third task is evaluating 4 radical expressions for given values of the variables and the fourth task is simplifying 4 radical expressions. Thus, students are provided with a total of 22 various and challenging problems. The product can be used as independent/extra practice and enrichment. The 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.

In this 12 questions - matching game, students will solve systems of linear equations with three variables by elimination and substitution or using Gaussian elimination. Cramer’s Rule is another method that students can use to solve ten of the systems. (There is one system that is consistent and its equations are dependent and one system that is inconsistent). Students find the solution to each of the given systems of equations. Their solutions are written on twelve of 13 fish. When students arrive at a correct answer, they “catch the magic fish” having this answer written on it. It is said that only one fish is not really magic, because it doesn’t fulfill wishes. Students have to find it out. The activity can be used individually, in pairs or in groups of 3 or 4. Student recording sheets and answer keys 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.

These are two similar forms of engaging practice on polynomial identities – square of sum. Each form contains 7 problems. Students are asked to expand and simplify 6 expressions. The questions are of varying difficulty, ranging from simple to complex. Student will be required to apply their knowledge of multiplying monomial by binomial and subtracting polynomials. The seventh problem is evaluating the value of an expression with two variables given the values of the variables. The practice sheets have enough room for students to show work. The product can be used as independent/extra practice, enrichment, assessment and homework. Answer keys are included.

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 engaging multiple-choice game on multiplying radicals. There are 10 pages/slides with problems as each page/slide contains two similar problems. Each problem is labeled with a large alphabet letter written on a picture of a mother penguin. Students are given four answer choices labeled with the small letters a,b,c and d each written on the picture of a baby penguin. Students solve a problem, choose an answer and write the letter of the baby penguin to its mother matching the problem with its answer. The problems increase in difficulty with each next page/slide. On the first four pages/slides students multiply two radicals, in page/slide 5 they multiply three terms, in pages/slides 6, 7 and 8 students will need to use the distributive property and FOIL and in pages/slides 9 and 10 students multiply radicals with variables in the radicands. This activity can be used as an independent practice and partner activity. If students work in pairs student A will solve the first problem of a page/slide and student B will solve the second problem of the same page/slide and because they have similar problems students can help each other with methods. 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!

This is an engaging practice/homework on multiplying matrices contaning 10 tasks (19 problems). Here is a description of the tasks included: Task 1. Students have to find the sum of indicated elements for the product AB given the matrices A and B. (5 related problems) Task 2 is finding the product A^t B where A^t is the transpose of the matrix A. Task 3. Given matrices A and B. Students have to calculate f(A) and f(B) which are quadratic functions of A and respectively of B. A is 2x2 and B is 3x3 (2 problems) Task 4. Given three matrices A, B and C. Students have to check whether AB=AC Tasks 5,6,7 is proving that two matrices are commuting. In taks 5 the matrices are 2x2, in task 6 - 3x3 and in task 7 the matrices are 4x4. Task 8 is computing the difference AB-BA given the matrices A and B (two problems) Task 9 is finding the product AB where A and B are 4x4. The answer will be suprisingly nice. Task 10. Given four matrices. Students have to compute the products ABC,CAB,BAD and DBA. (four problems) Students will need to use separate sheets of papers to show work. This resource can be used as homework, as class/extra/independent practice too however it should be taken into account that it will take more time as the problems are many and some are challenging. Answer key is included.