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.

This resource contains total of 73 logarithmic equations of various type and difficulty. Students will apply the properties of logarithms to solve logarithmic equations algebraically. The packet has 3 worksheets: ⟐ The first worksheet has the students solving 23 logarithmic equations using the two primary methods - converting to exponential form and using the one-to-one property (3 pages). ⟐ The second worksheet is solving logarithmic equations by using the Product , Quotient and Power Rules (total of 24 problems, 3 pages) ⟐ The third worksheet has students solving logarithmic equations by using the properties of logarithms and the primary methods in combination (total of 26 problems, 4 pages). It could be used as a review on Logarithmic Equations. Solutions are rational and irrational numbers. There are some problems where students are required to use a calculator to round the answer. Students will need to determine the domain of the logarithmic expressions to check for extraneous solutions and eliminate them. The worksheets can be used as an extra practice, an enrichment, an additional assessment or homework assignment. All answer keys are included.

This is an engaging and collaborative partner activity for students to practice finding determinants of 2x2 and 3x3matrices. There are 20 questions to be solved. Partner A start solving first. He finds the determinant a of his first problem (matrix) and gives his answer to his partner. Partner B takes the answer a of his partner and plugs it into his first matrix to find its determinant b. Then partner A takes the answer b and plugs it into his second matrix to find its determinant c. The activity goes still the same way - partners must use the answer from the previous question to substitute into the next problem. Students are given the final result so that they can check whether their work is correct. Answer keys are included.

These are 26 animal alphabet theme task cards dealing with simplifying and evaluating algebraic expressions. Expressions are of the types ax + b + cx + d (without brackets) and a(x+b)+c(x+d) ( with brackets) where a, b, c and d are integers. Each card contains an expression labeled with a large alphabet letter. After simplifying it , students have to evaluate the expression for a given value of x. Students may sort the cards into groups as in each group there should be included all the cards having the same answer. This product can be used as a group activity. Student recording sheet and 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!✾

This activity practices solving rational equations reducible to linear by cross multiplication method. The types of equations included are described in details in the preview file. All coefficients and almost all of the solutions of the equations are integers. Activity Directions: In task 1, partners are notified that each pair of their problems (A1, B1), (A2, B2) and the rest have solutions of opposite signs. Students reduce the rational equations to linear using the cross multiplication and solve for the variable. They compare answers with each other to check if they have solved the equations properly. In task 2, partners are given another set of rational equations. This time they must determine the root of which of the equations of one partner is opposite in sign to the root of randomly chosen equation of the other partner. Solving each of their equations ( by cross multiplying ) and comparing the solutions will help partners to find out which pairs of equations have solutions of opposite signs. There is else one extra question. Partners need to find out which of another rational equations given have no solution. Partners response sheet and student recording sheets are specially designed and provided for this activity. All answer keys are included as well.

This is a fun matching activity for students to practice finding determinants of 3x3matrices. Students evaluate the determinants of 12 matrices labeled (going) each with a mask. Then they look for their answers on a given picture with students’ faces and their names and find out who is hiding behind each mask. (It could be presented as a story about students who had a masked ball in which the participants attended wearing animal masks. Students decided to reveal each other who had been hiding behind each mask during a special lesson in math on determinants of matrices). The activity can be used individually, in pairs or in groups of 3 or 4. Student recording sheet and answer keys are included.

These are owl themed task cards on multi-step equations and multi-step inequalities engaging and challenging for your students. Each card contains three multi-step equations or three multi-step inequalities. Student are asked to determine whether these three are equivalent and to show/prove that the three equations or inequalities on a card are equivalent. There are included inequalities with infinite many solutions and with no solution. This product can be possibly used as a partner or a group activity (groups of 2 and 4). Student recording sheets and answer keys are provided.

This is an engaging and challenging practice on adding, subtracting and scalar multiplication of matrices. It consists of 8 practice tickets as each ticket contains three related tasks. The answer of the first task is needed for the answer of the second task to be found. The answer of the second task is needed for the third task to be completed. In each task students perform indicated operations to find a matrix. When students have completed the tasks on a ticket they would have found three related matrices A, B and C. If the answer for the obtained matrix C is correct then the obtained answers for the matrices A and B are correct as well. The matrices included are 4x1, 2x2, 2x3, 3x2, 3x3 and 4x3. You will need to print, cut and laminate (for durability) the tickets. Student recording sheets and answers keys are provided.

These are two different, but similar forms of independent practice on solving systems of nonlinear equations. Each form contains three systems of quadratic and linear equations ( having respectively two solutions, only one solution and no real solutions) three systems of two quadratic functions ( having two solutions, only one solution and no real solutions) I have created worksheets for students to solve the systems only algebraically and worksheets to solve the same problems only graphically. Each problem has enough space for students to show work. Students are provided with coordinates grids where each axis is labeled using an appropriate scale as dictated by the problem so sketching to become easier. The systems can be solved both algebraically and graphically as well. It is depending on what the teacher decides. This product can be used as in-class practice, an independent practice, partner activity or group activity (groups of two). It can be also used as an assessment or homework. Typed solutions are included. All the graphs are drawn in CorelDRAW. *I have also included cards with the problems and cards with the graphs so this can be also used as a matching activity.

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 is an engaging and collaborative partner activity for evaluating logarithms. All logarithms are equal to integers and rational numbers. Activity Directions: Students are given ten sections to work through. In each section each partner is given a logarithm to evaluate (calculators are disallowed). Partners are asked to show all work and compare their answers. They must get opposite answers in each section. I have created modified worksheets so this product can be used as a group activity and independent practice. I have also included cards with the problems. Answer keys are included.

In this 12 questions - partner activity, students will solve systems of linear equations with three variables. The problems are adaptable to all methods ( elimination, substitution, Gaussian elimination, Cramer’s Rule) so the teacher or students can choose the methods they will use. All systems have one and only one solution ( All systems are consistent and their equations are independent)! The answer of each of Partner’s A problems are the same as the answer of each Partner’s B corresponding problem. (Problems A1 and B1 are corresponding, so as problems A2 and B2 and so on). Students are instructed to check whether their results match. If their answers don’t match, they work together to figure out what went wrong. Student recording sheets and answer keys are provided.

This product is designed to be used for groups of 2, 3 and/or 4 members! It practices solving exponential equations with different bases using the properties of exponents and square roots without using logarithms. All the equations are of type “EXPONENTIAL FUNCTION = REAL NUMBER” and result in linear. There are included many examples where the base of the exponential function is a decimal, a fraction or an irrational number/square root. Activity Directions: Partners will each have their own set of 10 exponential equations. They start solving and write down the solutions of the problems on the recording sheet provided or on a separate sheet of paper. Then students look for the numbers they have found on the “keyholes board” - a set of keyholes given with numbers on them. They find some of their answers written on the keyholes, so they get the correct keys to “unlock” them. Partners mark the “unlocked keyholes” on the board. They record which are the “unlocked keyholes” and count them. Partners show the teacher their results. The group which is ready first and who has worked correctly wins. All answer keys are included. Here is the link of my version LEVEL 1 of this product. It contains easier exponential equations where the base of the exponential function is a counting number. https://www.tes.com/teaching-resource/resource-12627174

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 resource contains total of 86 well thought out practice problems on rational functions. Students will determine the characteristics of the rational functions – domain, range, holes, x – and y- intercepts, vertical, horizontal and slant asymptotes. There are eight practice worksheets from A to H where the problems are grouped/classified by topic. ◈ WS A - finding the domain ( 12 problems) ◈ WS B – finding the range ( 10 problems) ◈ WS C - finding the x – intercepts (12 problems) ◈ WS D – finding the y- intercepts ( 12 problems) ◈WS E – finding the vertical asymptotes ( 10 problems) ◈ WS F – finding the horizontal asymptote (12 problems) ◈ WS G – finding the slant (oblique) asymptote (8 problems) ◈ WS H – determining the holes (10 problems) This product can be used as in-class practice, an independent practice or group activity. It can be also used as an assessment or homework. Typed answer keys are included.

These are 12 turkey/Thanksgiving themed task cards. The cards are grouped with three similar problems per card. Students will review and demonstrate their knowledge of the following topics: domain and range of rational, radical and logarithmic functions - cards 1 and 2 horizontal and vertical asymptotes of rational, radical and logarithmic functions - cards 3 and 4 real zeros of rational, radical and logarithmic functions – card 5 intervals of monotonicity of rational, radical and logarithmic functions – card 6 real and imaginary zeros of polynomials (factoring polynomials, finding x- and y- intercepts, solving polynomial equations), solving polynomial inequalities in standard and factored form, solving rational inequalities – cards 7, 8, 10, 11 and 12 division of polynomials – card 9 Students can use the cards working in groups of 2, 3 and/or 4. The cards can be also used as an independent practice. The teacher or the student can choose which problems of each card to be solved like 1a, 2b, 3a, 4c…etc. Student recording sheets are provided. Typed answer keys are included. Have a Blessed Thanksgiving!

In this engaging and collaborative partner activity, students will practice solving absolute value equations having rational solutions. The equations are specially selected so each pair or equations have a common root. The problems are three different types ▸ ∣ax + b∣ = c, c ≧0 ▸ ∣ax + b∣ = cx + d ▸ ∣ax + b∣ = ∣cx + d∣ Extraneous solutions are possible. Activity Directions: There are 24 problems total, separated into two sets. Partners start solving their own set of twelve 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 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 is an engaging and collaborative group activity for students to practice multiplying matrices. There are a total of 28 problems including matrices with dimensions 1x2, 2x1, 2x2, 2x3, 3x1, 3x2, 3x3, 2x4, 4x2. All the problems are possible. Calculator use is optional. Students can be organized in groups of 2, 3 or 4. Each member of a group is given not more than 7 problems to work out. The activity can be used to have groups compete with each other. Students of each group will get points for the problems they get right. After working the problems, the points are tallied and the group with the most points win. (I have provided a sample scoring scale – each product of a row and a column gets 1 point). Student recording sheet and answer keys are included.