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Lesson Plan
West Contra Costa Unified School District

Solving Rational Equations

For Teachers 8th - 10th
Scholars first learn to solve two-step equations with fractional coefficients and constants by traditional methods and by clearing the denominator. They continue by learning another approach to solve two-step equations that have decimal...
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Lesson Plan
Curated OER

Adding Rational Expressions

For Teachers 9th - 10th
In this rational expression worksheet, students find common denominators and then add rational expressions. This one-page worksheet contains ten problems, with answers.
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Lesson Plan
1
1
Virginia Department of Education

Rational Functions: Intercepts, Asymptotes, and Discontinuity

For Students 10th - 12th Standards
Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function and...
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Lesson Plan
West Contra Costa Unified School District

Work Problems – Bar Models

For Teachers 8th - 10th
Why do we have to do so much work? Scholars learn how to set up bar models to represent a situation involving work. They use these bar models to help set up equations with rational coefficients to solve the problem situation.
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Worksheet
START-Education

Equation Solving Review A

For Students 7th - 10th Standards
Time to practice linear equations. The sectioned activity starts with simple linear problems and increases to multi-step and rational coefficient problems. 
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Worksheet
START-Education

Equation Solving Review C

For Students 7th - 10th Standards
I'm a fan of clearing the denominator, but solvers can also find common denominators and cross multiply to solve the linear equations on the worksheet. Each of the six problems has rational coefficients.
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Lesson Plan
Curated OER

Systems of Linear Inequalities

For Teachers 9th
In this systems of linear inequalities worksheet, 9th graders solve and complete 10 various types of problems. First, they determine whether a given point is in the solution set of a system of linear inequalities. Then, students graph...
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Worksheet
Curated OER

Rational Zero Theorem

For Students 11th
In this rational zero theorem learning exercise, 11th graders solve and complete 7 different problems. First, they list all of the possible rational zeros of each function. Then, students find all of the rational roots of each function....
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Lesson Plan
Curated OER

Adding and Subtracting Rational Expressions

For Teachers 8th
In this adding and subtracting rational expressions worksheet, 8th graders solve and complete 7 different problems. First, they simplify each rational expressions given. Then, students state the domain restrictions as they proceed...
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Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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Lesson Plan
Curated OER

Rational Expressions

For Teachers 8th - 9th
In this rational expressions worksheet, students solve and complete 10 different problems. First, they find the common denominator in each problem. Then, students simplify by either adding or subtracting depending on the sign shown in each.
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Worksheet
Curated OER

Irrational and Imaginary Root Theorems

For Students 9th - 11th
In this irrational and imaginary root theorem worksheet, learners identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page worksheet contains 22...
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Worksheet
Curated OER

Rational Root Theorem

For Students 9th - 10th
In this polynomial worksheet, students use factoring to simplify polynomials and identify its rational roots. Explanations and examples are provided. This two-page worksheet contains ten problems.
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Assessment
1
1
Balanced Assessment

Transformation I

For Students 9th - 12th Standards
Rewriting expressions in different forms is an essential algebra skill. Support the development of this skill by using a task that asks scholars to begin with a linear, quadratic, and rational expression and then manipulate them into a...
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Assessment
Concord Consortium

Transformations Resource

For Students 9th - 12th Standards
Transform your lesson for transforming functions. Scholars transform linear, quadratic, exponential, rational, and trigonometric expressions. They write their expressions to fit specific forms and identify the values of the resulting...
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Lesson Plan
Curated OER

Polynomials Functions

For Teachers 9th - 12th
High schoolers factor polynomials and linear functions and apply concepts of the fundamental theorem of algebra to solve problems. They graph their solutions and analyze the graph.
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Worksheet
Curated OER

Simplifying Rational Expressions

For Students 8th - 9th
In this algebra learning exercise, students simplify fractions involving variables and coefficients. Students must factor polynomials to find common factors in 20 of the problems.
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Worksheet
Curated OER

Rational Expressions Test with a Calculator

For Students 11th - Higher Ed
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor.  This worksheet is designed as a test to be completed with a calculator. 
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Handout
3
3
El Paso Community College

Quadratic Equations

For Students 9th - 12th Standards
This resource has everything you need to know about solving quadratic equations. Factoring, completing the square, the quadratic formula, and using the discriminant are all there with with worked out examples and a 25 problem activity...
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Worksheet
Lorain County Community College

Solving Linear Equations

For Students 7th - 10th Standards
Put your mathematicians to the test and see if they can solve this worksheet full of multi-step equations with rational numbers. Add, subtract, multiply, and divide with fractions and decimals to solve for x. The top of the worksheet has...
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Worksheet
Curated OER

Roots of Polynomial Functions

For Students 10th - 12th
Here is a unit test on finding factors and zeros of higher-degree polynomials that could be used as a review or practice test. The Remainder Theorem, Rational Zero Theorem, and Factor Theorem are put into use. While this four-page...
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Assessment
Mt. San Antonio Collage

Quiz 2: Polynomials

For Students 9th - 12th Standards
Four questions that get right to the polynomial point. High schoolers list all the attributes of a polynomial function, including finding all complex zeros. The last two questions prompt them to write a function based on the given zeros...
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Worksheet
Curated OER

Practice With Integer Exponents

For Students 9th - 10th
In this exponent worksheet, students solve equations containing integer exponents. Rules for exponents are available. This two-page worksheet contains 11 problems. An answer key is available.
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Lesson Plan
Virginia Department of Education

Equation Vocabulary

For Teachers 6th Standards
You'd feel bad if someone called you by the wrong name — and equations are no different. Young mathematicians learn the vocabulary associated with equations and expressions identifying these components in sample equations.