West Contra Costa Unified School District
Solving Rational Equations
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...
Curated OER
Adding Rational Expressions
In this rational expression worksheet, students find common denominators and then add rational expressions. This one-page worksheet contains ten problems, with answers.
Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
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...
West Contra Costa Unified School District
Work Problems – Bar Models
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.
START-Education
Equation Solving Review A
Time to practice linear equations. The sectioned activity starts with simple linear problems and increases to multi-step and rational coefficient problems.
START-Education
Equation Solving Review C
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.
Curated OER
Systems of Linear Inequalities
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...
Curated OER
Rational Zero Theorem
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....
Curated OER
Adding and Subtracting Rational Expressions
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...
EngageNY
Polynomial, Rational, and Radical Relationships
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,...
Curated OER
Rational Expressions
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.
Curated OER
Irrational and Imaginary Root Theorems
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...
Curated OER
Rational Root Theorem
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.
Balanced Assessment
Transformation I
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...
Concord Consortium
Transformations Resource
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...
Curated OER
Polynomials Functions
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.
Curated OER
Simplifying Rational Expressions
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.
Curated OER
Rational Expressions Test with a Calculator
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.
El Paso Community College
Quadratic Equations
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...
Lorain County Community College
Solving Linear Equations
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...
Curated OER
Roots of Polynomial Functions
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...
Mt. San Antonio Collage
Quiz 2: Polynomials
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...
Curated OER
Practice With Integer Exponents
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.
Virginia Department of Education
Equation Vocabulary
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.