This is an engaging matching activity on dividing polynomials (no remainders!). On each page/slide students are given 6 problems and 6 answer choices. Students can record the question numbers in the empty squares provided next to the answers to match each problem with its answer. There are a total of 12 problems. Dividends are 3th, 4th and 5th degree polynomials and divisors are 1st, 2nd and 3th degree binomials and trinomials. 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 tests can be used in Algebra 2 and Regular Pre-Calculus class. The product assesses students on properties of logarithms and solving logarithmic equations. There are included common and natural logarithms. All of the equations can be reduced to a linear or quadratic form. Extraneous solutions are possible so students will need to check answers or determine the domain of the respective logarithmic functions. The resource contains multiple choice questions. Included are two different versions along with FULL typed SOLUTIONS to both (14 problems). A recording sheet is provided as well. I have also included engaging homework with pretty answers (14 problems with answer keys).

This is a fun matching activity for students to practice finding the inverse of 2x2 and 3x3 matrices. The inverse of matrix can be found using a formula (for 2x2 matrices), the augmented matrix method and/or the adjoint method ( for 2x2 and 3x3 matrices). The teacher has to decide if students will be permitted to use calculators. There are 8 questions - four 2 x 2 matrices and four 3 x 3 matrices. (All matrices selected have inverses.) Students calculate the inverse of each matrix going with a picture of a boy named. Then they look for their answers in a given table with pictures of girls’ faces and their names and find out who is the girlfriend of each of the boys. If students cut the cells of the tables, they can match the matrices and their solutions. The activity can be used individually or in pairs. Student recording sheets and answer keys are included.

In this collaborative partner activity students will practice simplifying radicals, including square roots only. The problems gradually increase in difficulty. Radicands are whole 2, 3 and 4 –digit numbers. There are 15 sections each containing 2 examples – 1 problems for partner A and one problems for partner B. Students are instructed to simplify the radicals and to do that by inspecting each radicand for a square factor. In each section, partner A/B compares his answer with his partner’s answer. He must have a√b and his partner must have b√a . The practice sheets give room for partners to show work. Answer keys are included.

This is an engaging and collaborative partner activity on writing linear equations in slope- intercept form. There are 12 sections as in section 1 Partner A is given two points and Partner B is given a point and slope. In section 2 Partner A is given a point and slope and Partner B is given two points. In section 3 Partner A again is given two points and Partner B is given a point and slope. In section 4 Partner A is given a point and slope and Partner B is given two points… In each section the answer of Partner’s A problem is the same as the answer of Partner’s B problem. Students are instructed to compare their answers and check whether their results match. If their answers don’t match, they work together to figure out what went wrong. I hope the practice sheets give enough room for students to show work. Answer keys are included.

In this activity, students will practice simplifying 24 trigonometric expressions using fundamental identities such as reciprocal identities, quotient identities, Pythagorean identities and cofunction identities. The problems are carefully thought out so that 23 of them have one and the same exact value and ONE HAS NOT THE SAME VALUE AS THE OTHERS. Students simplify and evaluate each of the expressions given. They must find out the different expression. (The problems have varying degrees of difficulty.) The product is designed to be used in class practice, as partner activity, group activity, an assessment or homework. Student recording sheets are provided. SOLUTIONS TO ALL THE PROBLEMS are included.

This is a fun and engaging activity on solving radical equations with one and two radicals, equations with extraneous solutions included. There are two problem pages/ slides. On the first page/slide students are given 12 problems as each problem is “accompanied” by a riddle. On the second page/slide there are given the answers of the problems as each answer of a problem is “accompanied” by the answer of the riddle. 12 “false” answers are included to mislead the students if they try to guess the riddles without solving the equations. Students can draw numbered ovals (from 1 to 12) in the fields of the answers they have chosen to be correct. I would make my students show work on this activity. Answer key is included on page/slide 3. 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 slides on a page for easy and more economic printing!

This is an engaging thanksgiving themed practice or turkey themed task cards/slides on solving systems of linear equations by substitution. The slides with problems are eight. On each slide there is given one system of linear equations. Students have to solve it and type their answers in boxes provided. Then students are asked to evaluate an expression of type ax+by for the value of the variables x and y that they have already obtained. Thus learners not only practice solving systems by substitution, but they “touch” on the method by which systems of linear equations are created. This product can be used as independent/extra practice, homework assignment. Answer keys are contained at the end of this document. Have a Happy and Blessed Thanksgiving Day! 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 flowers themed task cards on solving quadratic inequalities in one variable. On each slide/page students are given three quadratic inequalities corresponding to three cases - D(discriminant) >0, D=0 and D<0. The slides/pages with problems are 5 (a total of 15 inequalities). This can be used as independent practice, extra practice, enrichment, homework assignment. 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.

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.

In this partner activity students will practice · factoring quadratic binomials and trinomials and then · simplifying rational expressions There are given 8 sections, containing three problems each. The first and second task ask students to factor quadratic polynomials. The third problem requires students to simplify a rational fraction consisting of the polynomials of the previous tasks. Students have already factored the numerator and denominator so they only need to find common factors for the numerators and denominators and simplify. Partners will finally get one and the same answer. Response sheets are provided. (Students can use a separate sheet of paper to write down their solutions and staple them with the response sheets together). Detailed answer keys are included.

In this fun St. Patrick’s Day themed matching activity, students will practice solving exponential and logarithmic equations. Activity Directions: Students are asked to solve 12 equations (6 exponential and 6 logarithmic). The answers are recorded on twelve of 13 clovers on a given picture. Every time students arrive at a correct answer, they will “pick up the clover” having this answer written on it and will have good luck. Students are also asked to find “which clover brings more good luck”. It is “the one that doesn’t bring a correct answer”. The product can possibly be used as a partner or a group activity (group of 2 or 3) or in class as a review on both exponential and logarithmic equations. Student recording sheets and answer keys are provided. I hope you and your students enjoy! ✾ Happy St.Patrick’s Day!✾

In this fun St. Patrick’s Day themed activity, students will practice solving quadratic equations by the most appropriate method. Activity Directions: Students are asked to solve 12 equations. The answers are recorded on twelve of 13 clovers on a given picture. Every time students arrive at a correct answer, they will “pick up the clover” having this answer written on it and will have good luck. Students are also asked to find “which clover brings more good luck”. It is “the one that doesn’t bring a correct answer”. The product can possibly be used as a partner or a group activity (groups of 2 or 3). Student recording sheets and answer keys are provided.

This fun matching game/activity on simplifying radicals with two variables contains 12 challenging problems. Students simplify each of the given radical expressions. Their solutions are written on 12 of 14 dolphins and whales images. When students arrive at a correct answer, they “make a friend with the dolphin/whale” having this answer written on it. It is said that two dolphins are not friendly. Students have to find them out. The activity can be used individually or in pairs. Student recording sheet and answer keys are included.

In this activity, students will practice solving rational equations resulting in linear and quadratics using three types methods for solving: Cross Multiplying Multiplying by the LCD Factoring to find the LCD This activity includes monomial, binomial, and trinomial denominators. The equations have only rational roots. The problems have a varying degree of difficulty. Activity Directions: There are 20 problems total, separated into two sets. Partners start solving their own set of ten equations by the most appropriate method and check for extraneous solutions. They must determine the common root between each two partners’ corresponding equations. ( For instance, the equations (1a) and (1b) are corresponding and have one common root, similarly the equations (2a) and (2b)… ). Partners record their answers and mark the common roots in a table given OR they record each common root in the area of each pair of intersecting ellipses on a figure given. Student recording sheets are provided for partners to show all work. An answer key is included.

This activity practices solving incomplete quadratic equations by taking square roots. The equations are in VERTEX FORM. Solutions are rational (integers and fractions) and irrational numbers. The amusing part is finding an idiom corresponding to each solution sets of the partners’ quadratic equations labeled with one and the same small alphabetic letter. Activity Directions: Students start solving their own set of twelve equations by the square root method. They are given tables to use. Using table 2, each partner finds which two words correspond to each solution set of his equations. At last partners together rearrange the words corresponding to their equations labeled with one and the same small alphabetic letter and find out an idiom. They find out 12 different idioms and write them in table 3. Answer keys are included.

This activity practices solving exponential equations using natural logarithms. Activity Directions: Students have to solve 12 equations. All correct answers (expressions with natural logarithms) and also incorrect are labeled with big Latin letters and typed in table 1. Students are asked to use this table and table 2 with mathematicians’ names so to find the mathematician’s name corresponding to each of their answers. If students solve all the equations correctly, they will learn 12 mathematicians involved in history of logarithms. This activity can be used as a group activity. Students could compete to see who can get all or most names first. It can be also used as a partner activity as well (each partner will solve 6 problems). Answer keys are provided.

In this fun bats themed activity, students will practice finding zeros of polynomial functions. There are included third, fourth and fifth degree polynomials. The zeros are real (rational and irrational) and complex numbers. Activity Directions: Students are instructed to find the zeros of each of 12 polynomials. The roots of all polynomials are recorded on twelve of 13 bats on a given picture. Every time students arrive at a correct answer, they will “chase away the bat” having this answer written on it. Students are also asked to find the only one bat who can NOT be chased away. The product can possibly be used as a partner or a group activity(group of 3). Student recording sheets and answer keys are provided.

This resource contains total of 32 problems. Students will practice solving polynomial inequalities algebraically. They are asked to write the solution sets using interval notation. Problems are classified into 2 categories according to the form of polynomials ( factored or standard) of 2 levels of difficulty for each category of polynomial inequalities. Examples include second, third and fourth - degree polynomials. ⟐ The first and second worksheets have the students solving a total of 16 inequalities in factored form ( level 1 & level 2). ⟐ The third worksheet is finding the solution sets of 8 inequalities in standard form ( level 1) ⟐ The fourth worksheet contains 8 inequalities where there are polynomials in expanded form on both sides (problems level 2) 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. Answer keys are provided.