This is an engaging and challenging practice on systems of linear equations in two variables. It consists of 8 various problems, 5 of them are multiple-choice questions and the other 3 are open- ended questions. You can see all the problems in the preview. Students are provided with empty boxes where to record their answers. The product can be used as an independent and extra practice, as a quiz or as an assessment and as a homework assignment. 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 practice on zero and negative exponents. Students are provided with 2 pages/slides with a total of 12 problems. On the first slide/page there are given 6 expressions. Students are asked to evaluate the expressions and type their answers in a table. On the second slide/page students have to simplify 6 expressions with variables and to write the results using only positive exponents. Students record their answers in another table. The product can be used as an independent and extra practice, enrichment, homework assignment. 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 slides on a page for easy and more economic printing!

This is a Christmas themed practice on applying exponent rules to simplify expressions. Students are given 2 problems(expressions A & B) per slide (the slides with problems are 5) and are asked to simplify each expression and then to evaluate it for the given values of the variables. The first problem A requires applying the power and product rules of exponents and the second problem B requires using the power, product and quotient rules of exponents. Both problems A and B require raising a product to a power (excluding example 1A). There is one example requiring raising a quotient to a power. Students are provided with empty boxes where to record their answers. *There are included examples only with positive exponent indicators. This product can be used as an independent practice, extra practice and homework for Christmas. 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 and collaborative partner activity on solving radical equations. There are two problem pages/slides. Each page/slide consists of four sections. In each section partners are given a radical equation involving one or two parameters. Partners have to solve the equation for given value(s) of the parameter(s). Partner A will solve the equation for one value(s) of the parameter(s) and partner B will solve the same equation for another value(s) of the parameter(s). As the students obtain similar equations in each section they can help each other with methods. There are included equations with extraneous solutions. This product can be completed individually as well. Some of the problems (for instance the problems of partner A) can be solved as classwork and the other (the problems of partner B) can be solved as homework. Students can record their answers on the next two pages/slides in tables. Answer key pages/slides are two and they 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 slides on a page for easy and more economic printing!

This is a collaborative and engaging partner activity on logarithmic equations of the following types: ▸ log(base b) f(x) + log(base b) g(x) = c ▸ log(base b) f(x) - log(base b) g(x) = c where b and c are constants and f(x) and g(x) are linear functions involving a parameter a . (Students are given the values of the parameter so they will NOT solve a parametric equation). There are possible extraneous solutions so students have to determine the domain of the logarithmic functions for each equation. Activity Directions: There are 10 sections as in each section partners have to solve a logarithmic equation involving the parameter a for two different given values of the parameter. This is a wonderful way for students to work on different, but similar problems and it encourages them to help each other with methods. Student recording sheet and answer keys are provided.

This is a vegetables themed maze on solving rational equations (equations with extraneous solutions included). Students start solving and use each answer to navigate through the maze. Students will need to solve 15 problems properly to complete the maze. Students can draw a line to display their answer path. It would be nice if students show work on this activity. Answer keys are included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.

This is an engaging practice on multiplying binomials. There are 4 pages/slides/4 levels each containing 3 problems. Students have to find the indicated products. Students are provided with empty text boxes where they can record their solutions and answers. There is given a hint for each problem - it is the sum of the coefficients of the polynomial that students have obtained. 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 12 challenging practice problems on limits at infinity. Functions included are only exponential, natural logarithms and inverse tangents. The product can be used as independent practice, extra practice, enrichment and homework assignment. The practice sheets have enough room for students to show work. Answer keys are included.

This is the second part of my worksheets on Computing Limits. The resource contains total of 16 finite limits. Students will apply the properties of limits and evaluate limits algebraically by substitution, factoring and conjugate methods. The packet has 2 worksheets: ⟐ The first worksheet is solving 8 limits of functions involving radicals (square, cube and fourth roots). ⟐ The second worksheet is solving 8 limits involving functions containing both polynomials and trig expressions or radicals and trig expressions. These problems are more complicated and require using a combination of methods. The worksheets can be used as extra practice, for enrichment, an assessment or homework. It can be also used as a partner activity – like that ⟡ Partner A will solve WS #1 while Partner B solves WS # 2, then they swap papers and Partner A will solve WS #2 while Partner B solves WS #1. Once they have completed the work, they compare their results. If there are different answers to one and the same problem, students have to identify and correct any errors. ⟡ Partner A will solve the first four problems of WS # 1 while Partner B solves the rest four problems of the same WS. Then they swap papers and Partner A will compute the last four limits of WS # 1, while Partner B solves the first four problems of WS # 1. Once they have completed the work, they compare their results. If there are different answers to one and the same problem, students have to identify and correct any errors. Partners continue working in the same way with WS # 2… All answer keys are included.

This is an engaging practice on multiplying and dividing rational expressions that consists of 4 tasks. The first task is multiplying and dividing rational expressions (eight problems), the second task are three problems, students have to perform the indicated operations and then to evaluate the obtained expressions for the given values of the variables. Task 3 is proving that two statements are true and task 4 is finding an unknown rational expression U so that a given statement to be true. This product can be used as independent extra practice, homework or assessment. There is provided a page/slide with tables where students can record their answers.(Students can show their work on separate sheet of paper). 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 owls themed engaging practice on factoring trinomials. On slide/page first student are given four quadratic trinomials to factor (three are with a=1 and one is with a ≠1) and four rational fractions to simplify. The given trinomials are involved in these fractions. On slide/page 2 students have to find which of given eight quadratic trinomials have a common factor. On slide/page 3 students have to determine which of ten given trinomials can not be factored. The fourth slide/page is extra slide, there are given eight bi quadratic trinomials to be factored. Students can record on the slides/pages their answers and draw ovals around the chosen answers. Students can work independently or 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 a challenging activity to promote students thought, creativity and discovery. The product can be used for groups of 4 members or as an individual practice (4 different versions included). Students will practice solving quadratic equations with rational and irrational coefficients having only irrational solutions. Some of the equations are in standard form and the other have one term on the right side of the equation. Each quadratic equation must be solved by a specified method - completing the square or the quadratic formula. There are problems included, where students need to • rationalize denominators containing radicals • find the square of a sum or a difference between rational and irrational numbers • find the common root between two equations Hints are included to help students check if their ”pretty” answers are correct. If this resource is used for group work, there is a group response sheet specially provided. There partners are instructed to calculate the sum or/and product of all their answers to corresponding problems. They record their findings, surprised to discover that their collective answers are “pretty” numbers too. A recording worksheet is included for students to show work. All 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.

The activity contains more challenging problems on different types of trigonometric equations. Students will practice solving trigonometric equations by factoring, the quadratic formula and the square root method. The equations require the use of fundamental trigonometric identities double - and half- angle, angle - sum and - difference, sum - to- product and product - to -sum identities There are four sections, each containing four different equations. Students find the general solutions to each of the equations in a section. Then they must determine which of the equations have a given general solution as their own solution. Thus students find groups of trigonometric equations having a common general solution. This quiz can be used in class practice or as a group activity (groups of 4). It can be used for enrichment/extra practice, review, as an assessment or homework as well. All answer keys are included.

This is an engaging practice on finding the distance and midpoint between two points. It consists of two parts: Part 1 contains 9 various problems on finding the midpoint (determining the coordinates of the midpoint given coordinates of the endpoints of a segment, given coordinates of the midpoint and one of the endpoints and finding the other endpoint, parametric problems on midpoint, finding the midpoint given a graph) Part 2 contains 7 various problems on finding the distance between two points (finding the slope and length of segment given coordinates of the endpoints and given a graph, determining whether two segments are congruent, determining whether a given triangle is right and isosceles, finding the perimeter of a triangle) The practice sheets give enough room for student to show work. The product can be used as independent/extra practice, enrichment or/and homework assignment. Answer keys are included.

Students will factor polynomials with four terms using the factor by grouping method in this collaborative partner activity. It consists of 12 sections as in each section students are given one and the same problem. Partner A is instructed to group the first two terms together and then to group the last two terms together, while Partner B is instructed to group the first and third terms together and then to group the second and forth terms together. Thus partners see that factoring by grouping problems can be approached at least in two different ways. In the next section students are given the next problem as this time Partner A is instructed to group the first and third terms together and then to group the second and forth terms together and Partner B is instructed to group the first two terms together and then to group the last two terms together. Then, in the same manner as in section 1, Partner A groups the first two terms together and …etc. I hope your students will love this activity and find it enjoyable and helpful. The practice sheets provide room for students to show work. Full solutions are included.

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 8 practice tickets designed for Trigonometry and PreCalculus Classes on finding the exact value of inverse trigonometric functions and evaluating trig function of an inverse trig function. There are 3 problems per ticket. The first problem is proving an equality of the type: trig function of an inverse trig function is equal to a real number. The second problem is finding the value of an expression of the type: trig function of the sum or difference of inverse trig functions. The arguments of the arcsin and arccos are +1 and – 1, 0.5 and -0.5, √3/2 and -√3/2, √2/2 and - √2/2 and the arguments of arctan and arccot are +1 and -1, √3 and - √3, √3/3 and - √3/3. The third problem is to evaluate an expression of the type trig function of an inverse function as this time the arguments of the inverse trig functions are fractions like -1/3, -2/5, -3/2 and students will need to use the Pythagorean identities to evaluate the given expressions. The product can be used as independent/extra practice, group activity, homework and even as an assessment. Student recording sheet and answer keys are included.

This is a fun and collaborative matching activity for your students to practice expanding binomials using the binomial theorem. Students have to find a specific term in a binomial expansion working through 12 expressions. Student find the indicated term and then they look for their answer on a picture with kids holding blanks with the answers written on them. Students match the answer with the problem (record the letter of the problem near or upon the picture with the kid holding the answer of that problem). Students can work independently or in pairs. Student recording sheets and answer keys are included.

This is a Christmas lama themed multiple-choice activity on evaluating algebraic expressions involving exponents and operations with rational numbers. The problems slides/pages are four as on each slide/page there are given two numbers/numerical expressions u and v and two algebraic expressions A and B in the two variables u and v. Students calculate u and v and then substitute their values in the expressions A and B to evaluate them. There are given four optional answer choices for A and B. Students use the answers that they have obtained to find out the answers of the questions 1) why does lama love Christmas 2) what is lama doing most at Christmas 3) what is the lama favorite Christmas song and 4) what present does lama want for Christmas. A slide/page where students can record their answers is included. An answer key is included. The resource can be used as an extra Christmas practice. 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!