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Preview of Rational Expressions - Graphing with Roots, Holes, Vertical Asymptotes & Domain

Rational Expressions - Graphing with Roots, Holes, Vertical Asymptotes & Domain

Created by
Math Mill
The night before a quiz I always give a Last Practice for homework then send the students the answers - how do you study math, you do math. This is the Last Practice for graphing rational expressions by noting their roots, holes, vertical asymptotes and domain from standard to form.
Preview of Graphing Rational Functions with Holes and Obliques Version 2

Graphing Rational Functions with Holes and Obliques Version 2

This 10-question assignment is perfect for a quiz or a homework later in the topic of graphing rational functions. Students are asked to: factor when necessarystate the domaindetermine whether the domain restrictions are vertical asymptotes or holesdecide if there are horizontal asymptotes or slant asymptotes and find themdetermine the x- and y-interceptsgraph the function including all asymptotes If you would like to purchase this resource with the answer key attached, try: Graphing Rational F
Preview of Graphing Rational Functions with Holes and Obliques Version 1

Graphing Rational Functions with Holes and Obliques Version 1

This 10-question assignment is perfect for a quiz or a homework later in the topic of graphing rational functions. Students are asked to: factor when necessarystate the domaindetermine whether the domain restrictions are vertical asymptotes or holesdecide if there are horizontal asymptotes or slant asymptotes and find themdetermine the x- and y-interceptsgraph the function including all asymptotes If you would like to purchase this resource with the answer key attached, try: Graphing Rational F
Preview of Logarithmic Equations and Inequalities with Answer Key

Logarithmic Equations and Inequalities with Answer Key

This 10-question worksheet/homework/quiz contains: 4 logarithmic equations asking students to provide both exact and, where appropriate, approximate answers6 logarithmic inequalities asking students to write their answers in interval notation. These questions ask students to think about the natural domain of the logarithm in context with the answer received when they solve
Preview of Algebra Fractions Circuit: increasing difficulty using fraction operations +-*/

Algebra Fractions Circuit: increasing difficulty using fraction operations +-*/

Algebraic fractions use the same tried and true rules of numeric fractions: get common denominator, multiply numerator & multiply denominator, cancel factors top to bottom, and divide with keep-change-flip. Students start with numbers, moving to algebraic expressions, ending with more complex rational expressions. As a circuit, the answers are posted somewhere, you will need to find them! Three page circuit with 26 problems. Both long division and synthetic (Ruffini's Method) division problems
Preview of Conics (Hyperbola) HW/Quiz Version A with Answer Key

Conics (Hyperbola) HW/Quiz Version A with Answer Key

This 7-question assignment works as a homework or a quiz. It contains 6 questions asking students to find the center, vertices, foci, and equations of the asymptotes and to graph the hyperbola, and one question asking students to use completing the square to rewrite the equation into the standard form of a hyperbola. I have a version B listed also. Version A and Version B could be used as homework on consecutive nights or given as quizzes to different classes on the same day. You can find Vers
Preview of Conics (Hyperbola) HW/Quiz Version B with Answer Key

Conics (Hyperbola) HW/Quiz Version B with Answer Key

This 7-question assignment works as a homework or a quiz. It contains 6 questions asking students to find the center, vertices, foci, and equations of the asymptotes and to graph the hyperbola, and one question asking students to use completing the square to rewrite the equation into the standard form of a hyperbola. I have a version A listed also. Version A and Version B could be used as homework on consecutive nights or given as quizzes to different classes on the same day. For Version A: C
Preview of Rational Inequalities Quiz/Homework with Answer Key

Rational Inequalities Quiz/Homework with Answer Key

This 8-question worksheet asks students to solve rational inequalities. Students have to manipulate some of the inequalities, including adding/subtracting rational expressions, find critical numbers, and test the numbers in order to determine the solution set.
Preview of Trig Proofs 5-question Quick Quiz with Answer Key

Trig Proofs 5-question Quick Quiz with Answer Key

This 5-question quiz requires students to use the ratio, reciprocal, and Pythagorean identities to prove trigonometric expressions. Students are required to factor using difference of squares, add two expressions using common denominators, and to simplify a complex fraction. For the easier problems, the answer key includes the solution worked out from each side of the identity. You may also be interested in: Trig Proofs Simplify/Prove Version 1Trig Proofs Simplify/Prove Version 1 with Answer Ke
Preview of Logarithms Quick Quiz No Calculator Version B with Answer Key

Logarithms Quick Quiz No Calculator Version B with Answer Key

This 10-question assessment contains: 5 evaluate problems1 expand problem2 condense into a single logarithm problems2 equations1 bonus equationAll of these problems can be done without a calculator and require students to have a good understanding of rational and negative exponents. If you would like a different version of this assessment (I hand out two versions in the same class), see: Logarithms Quick Quiz No Calculator Version A or Logarithms Quick Quiz No Calculator Version A with Answer
Preview of Logarithms Quick Quiz No Calculator Version A with Answer Key

Logarithms Quick Quiz No Calculator Version A with Answer Key

This 10-question assessment contains: 5 evaluate problems1 expand problem2 condense into a single logarithm problems2 equations1 bonus equationAll of these problems can be done without a calculator and require students to have a good understanding of rational and negative exponents. If you would like a different version of this assessment (I hand out two versions in the same class), see: Logarithms Quick Quiz No Calculator Version B or Logarithms Quick Quiz No Calculator Version B with Answer
Preview of Finding Multiplicity and Solutions Using Factors of Polynomials Worksheet

Finding Multiplicity and Solutions Using Factors of Polynomials Worksheet

This resource is perfect for students in 9 and up who are in Algebra 2 and are starting to learn about zeros, multiplicity, and how it affects the shape and end behavior of graphs. This worksheet is a quick exercise to help students understand how multiplicity coincides with the power of a particular factor. This worksheet is long enough for a homework assignment or as a quick quiz to access your student(s)’ grasp of the concept. You can periodically re-test them using this resource to see their
Preview of Polynomials: Factoring in Quadratic Form Quiz

Polynomials: Factoring in Quadratic Form Quiz

This 10-question (with one bonus question) quiz contains polynomials that are best factored using quadratic form, including negative and rational exponents. Students will need to use all types of factoring, including the difference of squares and the sum or difference of cubes and to find the solutions after factoring, some problems require the quadratic formula. Students will get integer, radical, and imaginary solutions. If you would like to purchase this resource with the answer key attache
Preview of Logarithmic Equations and Inequalities

Logarithmic Equations and Inequalities

This 10-question worksheet/homework/quiz contains: 4 logarithmic equations asking students to provide both exact and, where appropriate, approximate answers6 logarithmic inequalities asking students to write their answers in interval notation. These questions ask students to think about the natural domain of the logarithm in context with the answer received when they solveIf you would like to purchase this resource with the answer key attached, see: Logarithmic Equations and Inequalities with A
Preview of Finding Exact Trig Values Quiz C

Finding Exact Trig Values Quiz C

This is a quick, 12-question quiz asking students to find exact trig values of angles in both degree and radian mode, without using a calculator. If you would like the answer key, find it here: Finding Exact Trig Values Quiz C with Answer KeyIf you would like similar versions of this quiz (I like to have multiple versions for different periods) consider these versions: Finding Exact Trig Values Quiz AFinding Exact Trig Values Quiz A with Answer KeyFinding Exact Trig Values Quiz BFinding Exact T
Preview of Conics (Hyperbola) HW/Quiz Version A

Conics (Hyperbola) HW/Quiz Version A

This 7-question assignment works as a homework or a quiz. It contains 6 questions asking students to find the center, vertices, foci, and equations of the asymptotes and to graph the hyperbola, and one question asking students to use completing the square to rewrite the equation into the standard form of a hyperbola. I have a version B listed also. Version A and Version B could be used as homework on consecutive nights or given as quizzes to different classes on the same day. If you would like
Preview of Conics (Ellipses) Worksheet/Quiz

Conics (Ellipses) Worksheet/Quiz

This 11-question assignment could be used as a homework or an assessment. It asks students to: find the vertices, co-vertices, foci, and length of the major and minor axis of a given ellipsegraph given ellipseswrite the equation of an ellipse in standard form given the graph of the ellipsewrite the equation of an ellipse in standard form given information about the ellipsecomplete the square to write the equation of an ellipse in standard formIf you would like to purchase this resource with the
Preview of Conics (Hyperbola) HW/Quiz Version B

Conics (Hyperbola) HW/Quiz Version B

This 7-question assignment works as a homework or a quiz. It contains 6 questions asking students to find the center, vertices, foci, and equations of the asymptotes and to graph the hyperbola, and one question asking students to use completing the square to rewrite the equation into the standard form of a hyperbola. I have a version A listed also. Version A and Version B could be used as homework on consecutive nights or given as quizzes to different classes on the same day. If you are intere
Preview of Rational Inequalities Quiz/Homework

Rational Inequalities Quiz/Homework

This 8-question worksheet asks students to solve rational inequalities. Students have to manipulate some of the inequalities, including adding/subtracting rational expressions, find critical numbers, and test the numbers in order to determine the solution set. If you would like to purchase this resource with the answer key attached, see: Rational Inequalities Quiz/Homework with Answer Key
Preview of Trig Proofs 5-question Quick Quiz

Trig Proofs 5-question Quick Quiz

This 5-question quiz requires students to use the ratio, reciprocal, and Pythagorean identities to prove trigonometric expressions. Students are required to factor using difference of squares, add two expressions using common denominators, and to simplify a complex fraction. If you would like to purchase this resource with the answer key attached, see: Trig Proofs 5-Question Quick Quiz with Answer KeyYou may also be interested in: Trig Proofs Simplify/Prove Version 1Trig Proofs Simplify/Prove V
Preview of Logarithms Quick Quiz No Calculator Version B

Logarithms Quick Quiz No Calculator Version B

This 10-question assessment contains: 5 evaluate problems1 expand problem2 condense into a single logarithm problems2 equations1 bonus equationAll of these problems can be done without a calculator and require students to have a good understanding of rational and negative exponents. If you would like to purchase this resource with the answer key attached, see: Logarithms Quick Quiz No Calculator Version B with Answer KeyIf you would like a different version of this assessment (I hand out two v
Preview of Logarithms Quick Quiz No Calculator Version A

Logarithms Quick Quiz No Calculator Version A

This 10-question assessment contains: 5 evaluate problems1 expand problem2 condense into a single logarithm problems2 equations1 bonus equationAll of these problems can be done without a calculator and require students to have a good understanding of rational and negative exponents. If you would like to purchase this resource with the answer key attached, see: Logarithms Quick Quiz No Calculator Version A with Answer KeyIf you would like a different version of this assessment (I hand out two v
Preview of Radian Measure Quiz A with Answer Key

Radian Measure Quiz A with Answer Key

This quick 4-question quiz asks students to draw angles in standard position, find complements and supplements, and find reference and coterminal angles in both exact and approximate radians. If you would like to make your own answer key (and save a little money), try: Radian Measure Quiz AFor a slightly easier version of this resource, try: Radian Measure Quiz BRadian Measure Quiz B with Answer Key
Preview of Radian Measure Quiz B with Answer Key

Radian Measure Quiz B with Answer Key

This quick 4-question quiz asks students to draw angles in standard position, find complements and supplements, and find reference and coterminal angles in both exact and approximate radians. If you would like to make your own answer key (and save a little money), try: Radian Measure Quiz BFor a slightly harder version of this resource, try: Radian Measure Quiz ARadian Measure Quiz A with Answer Key
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