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Numerical Analysis: Polynomials
In this polynomial worksheet, students explore functions, determine the least square error, and explore quadratic spline interpolation. This two-page worksheet contains approximately six problems.
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Addition and Subtraction of Polynomials
In this polynomial worksheet, learners add and subtract polynomials by identifying and collecting like terms. Twenty problems are provided on this two-page worksheet.
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Polynomials
Ninth graders classify and solve polynomials. They use algebra tiles to add or subtract polynomials. Students solve the area of specific rectangles using algebra tiles. Students identify coefficients and classify polynomials.
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Solving Equations by Factoring
For this solving equations worksheet, 9th graders solve and complete 14 different problems by factoring. First, they determine the method they will use to solve each equation. Then, students simplify each side of the equations when...
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Adding Polynomials of Multiple Variables
In this polynomial worksheet, students collect like terms to add polynomials of multiple variables. Explanations and examples are provided prior to the exercise. This two-page worksheet contains ten problems.
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Extra Practice 17: Addition and Subtraction of Polynomials
In this polynomial worksheet, learners use addition and subtraction to solve equations containing polynomials. There are 20 problems on this two-page worksheet.
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Simple Factoring of Polynomials
In this polynomial worksheet, students use the factoring method to simplify polynomials. Examples and explanations are provided on this two-page worksheet. Ten problems are included.
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Division of Polynomials
In this division of polynomials learning exercise, 9th graders solve 10 different equations that include monomials. First, they divide each terms of the polynomial by the monomial and subtract the exponents. Then, students write the...
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Polynomial Word Problems
In this polynomial word problem worksheet, students read story problems, write a system of equations, and solve using substitution. This one-page worksheet contains ten problems.
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Multiplying a Polynomial by a Monomial
In this polynomials worksheet, 9th graders solve and complete 30 different problems that include multiplying various polynomials by a monomial. First, they find each product of each equation. Then, students simplify by multiplying each...
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Long Division of Polynomials
In this polynomial worksheet, students simplify problems through the use of division. This three-page worksheet contains examples, followed by ten problems.
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Numerical Analysis: Polynomial Interpolation
For this polynomial worksheet, students identify the interpolated and extrapolated value of given equations. This four-page worksheet contains approximately ten problems. Explanations and examples are provided.
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Adding and Subtracting Polynomials
In this polynomials worksheet, 9th graders solve and complete 17 different problems that include adding and subtracting various polynomials. First, they determine the sum or difference of each equation listed, combining like terms when...
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Notes to Quadratic Equations
In this quadratic equations worksheet, students read notes about graphing, factoring, square roots, completing the square, and the quadratic formula. Students read 2 1/2 pages of notes.
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Linear Equations
In this linear equations worksheet, students solve 9 different linear equations by applying the point-slope formula in each. First, they determine the linear equation of each. Then, students use the slope and one point of the line to...
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Solving Square Root and Other Radical Equations
In this Algebra II worksheet, 11th graders solve equations involving radical equations. The worksheet provides an explanation and worked examples. The two page worksheet contains three problems. Solutions are not...
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Elementary Algebra Study Guide
Middle and high schoolers solve problems involving linear equations, inequalities, quadratics, radicals, systems of equations, exponents, and polynomials. Many of the problems encompass a review of Algebra I. This 10-page worksheet...
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Factoring and Solving Quadratics Self-Test
This worksheet provides good practice of factoring expressions and solving quadratic equations by factoring. It also includes a word problem and graphing an equation using a calculator. This one-page worksheet contains 17 polynomial...
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How Simple Is Your Rational Expression?
Investigate simplifying rational expressions. Learners define rational expressions, review how numerators and denominators are polynomials and complete several problems using a checklist to ensure they don't skip any steps. Work can be...
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Matrices at the Speed of Light!
Perform operations using matrices in this algebra lesson. Middle schoolers add, subtract, and multiply matrices. Additionally, they solve systems of equations using matrices.
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
Education Development Center
Creating a Polynomial Function to Fit a Table
Discover relationships between linear and nonlinear functions. Initially, a set of data seems linear, but upon further exploration, pupils realize the data can model an infinite number of functions. Scholars use multiple representations...
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Operations on Polynomials
In this Algebra I activity, 9th graders add, subtract, and multiply polynomials. Students factor polynomials and solve quadratic equations. The six page activity contains thirty problems. Answers are not provided.
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Graphs of Polynomial Functions
In this polynomial functions worksheet, 9th graders solve and complete 11 different problems. First, they write the given quadratic equations in vertex form. Then, students state the x- and y-coordinate for each polynomial function.
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