This is an engaging and challenging practice on simplifying exponential expressions (the variable x is in the power indicator). The problems require good skills in using the rules of exponents (forward and backward). There are 4 different versions/forms as forms A and B have similar examples, so have the forms C and D. On each form students are given eight expressions. Students are asked to simplify them into the form a^f(x) or b. a^f(x) . This practice is much helpful for the next step - solving exponential equations. The product can be used as an independent practice or partner activity. I hope the practice worksheets give enough room for students to show their work. Answer keys are included.

This is an engaging practice or quiz on radical equations. It consists of 14 equations of varying difficulty levels, ranging from simple to complex. Problem types include: · Radical function equals to a constant · Radical function equals to monomial · Radical function equals to radical function · Radical function equals to binomial · Sum and difference of two radical functions equals to a constant Students must check all solutions by plugging them into the original equation to ensure they are selecting the correct answer. The product is useful for independent /extra practice, review, homework or assessment/quiz. Answer keys are included.

This is an engaging and challenging practice on finding and using the values of special angles from the unit circle to evaluate 10 trigonometric expressions. The expressions include two or three trig functions combined using algebraic operations like A = 2sin(pi/4) - tan(4pi/3). All values of angles are given in radians. Students can use their unit circle. The practice worksheets give enough room for students to show their work. The product is useful for classwork as extra/ advanced practice, enrichment or homework. Full solutions are included.

This is a collaborative and fun partner activity on finding the vertex of a quadratic function. Students will work in pairs through 12 sections (or less ). In each section, a partner is given a quadratic function in standard form to determine its vertex. Partners compare their results to see whether in each section they have obtained one and the same answer. The practice worksheets give room for students to show their work. Answer keys are included.

In this 16 questions - partner activity, students will solve systems of linear equations with two variables by the most appropriate method (substitution and/or elimination methods). The answer of each of Partner’s A problems is 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 sheet and answer keys are provided.

This is a collaborative group activity (for groups of 2,3 and/or 4 members) on factoring difference of squares. It consists of 12 sections as in each section there are 4 similar problems - one problem for each of the partners. Problems gradually increase in difficulty with each subsequent section. Problem types include: difference of squares of monomials ( Level 1) difference of square of monomial and square of binomial (Level 2) difference of square of binomial and square of monomial (Level 2) difference of square of binomials (Level 3) This activity may be turned into a competition between groups . In each section it is given the certain number of points that each problem solved correctly offers. The number of points are directly proportional to the difficulty level of the problem. I hope the practice sheets provide enough room for students to show work. 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.

These are three versions (three levels) independent practice on factoring polynomials by determining the greatest common factor. Versions A and B contain 15 problems each and version C has 10 more challenging examples. The product can be used as an extra practice, enrichment or homework assignment. It can be also used as a group activity - competition between groups of 2 or 3 as the members of the group will chose who which version to solve. The practice sheets give enough room for students to show work. Answer keys are included.

This is a fun game on factoring trinomials. The half of the problems are with the leading coefficient a=1 and the other half have a≠1. Students are given 12 problems and 12 pictures of dragons ( there is a picture of a dragon corresponding on each trinomial). The problems are multiple-choice format with four options each ( there is a name of a dragon corresponding on each possible answer). Students have to factor the trinomials given and find out the names of all dragons. The names are funny as they begin with Dr or the dragons may have names like “ The Lazy” , “The Clever”… The game arouses students’ imagination and makes students enjoy while solving the problems. Student recoring sheet and answer keys are provided.

This engaging practice allows students to explore and graph square and cube root radical functions. It contains 40 various and challenging problems. Students will have to ✤ identify the domain of given radical functions (4 problems) ✤ determine the range of functions (4 problems) ✤ find x- and y- intercepts of given function (4 problems) ✤ determine which of given points are on the graph of a given function (1 problem) ✤ find zeros of radical functions (4 problems) ✤ evaluate radical functions for given values of the variable (2 problems) ✤ find the point of intersection between two radical functions (4 problems) ✤ determine the value of a parameter given a radical function involving the parameter and passing through a given point (1 problem) ✤ find the inverse of 5 radical and 3 polynomial functions (8 problems) ✤ sketch the graph of given radical functions ( 8 problems) I hope the practice sheets give enough room for student to show work. Grids are provided. The product is useful for independent/extra practice, enrichment, review, homework assignment and assessment. Answer keys are included. (The graphs are drawn with CorelDraw!)

This is an engaging practice for a set of 30 problems on equation of a circle. It consists of four parts (four pages) Part 1/Page A contains 10 problems on finding the center and radius of a circle where in the first 6 problems the equations are given in standard form and in the last 4 problems the equations are given in general form. Students will need to complete the square to complete the last 4 tasks. Part 2/Page B have 8 text problems on writing equations for circles. Students are given the center and the radius the endpoints of the diameter the center and one point that the circle goes through it the center and an endpoint of the radius the center and the diameter the center and the circumference of the circle the center and the area of the circle Part 3/Page C is interpreting the graphs of 6 circles. Students will have to write the equation of each circle in both standard and general forms. Part 4/Page D is graphing the circle given its equation in standard form (6 problems). Grids are provided. The practice sheets give room for students to show work. Answer keys are included.

With this fun activity/multiple-choice game, students will simplify radical expressions using adding , subtracting, multiplying, division and raising (sum and difference) to the second power. There are given 9 “cards” with a challenging multiple choice question on each card. A picture of a wildcat corresponds to each problem. Students have 4 options for what could be the correct answer of their problem and respectively 4 corresponding options for the possible species of the cat. Students use their answers to identify what species are the wildcats. A student recording sheet is provided. Answer keys are included.

This fun matching activity allows students to practice applying the exponent rules to 12 challenging expression. The properties of exponents included are: multiplying with same base dividing with same base negative exponents power to a power zero exponents There are given twelve “tickets/cards” each with the face of a cartoon hero – a boy or a girl. The hero „says“ his/her name and „ask“ the student to simplify a given expression, then to use the answer to find what breed is his/her (the hero’s ) favorite dog or cat. Students have one sheet with the pictures of twelve different breeds of dogs and another sheet with the pictures of twelve different breeds of cats. There is an expression corresponding to each picture. 12 of these corresponding to the pictures expressions are the answers. Thus students using the pictures and their answers can find what breed is the favorite dog or cat to each of the twelve cartoon heroes. Students can work in groups of 2 or/and 3. Student recording sheet and answer keys are included. Note: You will need paper size A4 to print this document.

This resource contains a total of 27 practice problems and focuses on using Pythagorean theorem with other geometric shapes. The problems are classified into 5 categories as follows: A. Problems with equilateral and isosceles triangles (finding the altitude, area and perimeter of the triangle) (6 problems) B. Problems with rectangles (finding the diagonal) (6 problems) C. Problems with squares and rhombi ( finding the diagonals and the area) (6 problems) D. Problems with trapezoids (finding the diagonals, non-parallel sides, perimeter and area) (6 problems) E. Other shapes/cases (finding the area of regular hexagon and circle) (3 problems) The practice sheets give room for students to show work. Answer keys are included.

This resource contains a total of 48 practice problems on Pythagorean theorem. The problems are classified into 4 categories as follows: A. Problems on finding the hypotenuse ( 8 problems with given figures and 6 text problems) B. Problems on finding the missing leg (7 problems with given figures and 6 text problems) C. Problems on finding the missing side (it could be the hypotenuse or a leg of the triangle) ( 6 problems with given figures) D. Problems using the Inverse of Pythagorean theorem – determining whether given dimensions belong to a right triangle (given 12 triples of numbers and 3 problems with given figures/triangles) The practice sheets give room for students to show work. Answer keys are included.

This is an engaging practice on exploring quadratic functions. Students are given 66 quadratic functions in standard and vertex forms. They have to identify/find the axis of symmetry (9 problems) the vertex (10 problems) the minimum or maximum (8 problems) the range (6 problems) the intervals of increasing and decreasing (10 problems) the y- intercept (9 problems) the x- intercepts (14 problems) This practice can help learners strengthen their understanding on characteristics of quadratic functions and then deal with the process for graphing quadratics easily. The practice worksheets have enough room for students to show their work. Answer keys are included.

This is a engaging practice on solving problems on parallel lines cut by a transversal. There are 9 slides of problems with given diagrams as there are three problems per slide. The first nine problems (1-9) are two parallel lines given cut by a transversal. Students have to make an equation and solve it for the variable x and find the measures of angles alpha and vita. The next six problems (10-15) are finding the measures of two pairs of four congruent angles given a relation (an equality) between the angles. The problems from 16 to 21 are two parallel lines given cut by two transversal as they form a triangle. Students have to find the variable x and the angles of the triangle formed. Problems from 22 to 24 are parallel lines cut by two transversals as they form a quadrilateral. Students have to find measures of angles x,y and z. And the last three problems (25-27) are parallel lines cut by two transversals as one of the lines is a bisector. Students have to find the measure of angle alpha. The resource can be used as independent practice or group activity, extra practice, enrichment and homework assignment. Students are provided with a table where they can record their answers. Answer keys are contained at the end of this document.

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.

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.

This is fun matching game/activity on simplifying radicals with one and two variables and of negative numbers, thus resulting in an answer with imaginary number i. It contains 10 challenging problems. Students simplify each of the given radical expressions. Their solutions are written on ten of 11 dinosaurs images. When students arrive at a correct answer, they “tame the dinosaur” having this answer written on it. It is said that only one dinosaur can not be tamed. Students have to find it out. The activity can be used individually or in pairs. Student recording sheet and answer keys are included.