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Naming Polynomials

For Students 9th - 11th
In this algebra worksheet, students classify polynomials by their degree and number of terms. There are 30 questions with an answer key.
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Properties of Exponents

For Students 9th - 12th
In this exponents learning exercise, students simplify 30 exponential expressions in short answer format. Students use exponent rules to simplify each exponential expression.
Worksheet
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Completing the Square

For Students 8th - 10th
In this completing the square worksheet, students solve problems by completing the square. They determine the value of the unknown in the binomial. This two-page worksheet contains 30 problems. Answers are provided on the last page.
Worksheet
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Solving Quadratic Equations with Square Roots

For Students 8th - 10th
In this quadratic equations worksheet, students solve quadratic equations containing square roots. They combine like terms and solve for the unknown. This four-page worksheet contains 28 problems. Answers are provided on the last two pages.
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Descarte's Rule of Signs

For Students 11th - 12th
In this algebra worksheet, students identify the number of positive and negative zeros for each given function. There are 21 function problems to be solved.
Worksheet
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More on Factors, Zeros, and Dividing

For Students 10th - 12th
Students explore the concept of finding zeros of polynomials.  In this finding zeros of polynomials worksheet, students find the zeros of polynomials given one zero.  Students factor and find all the zeros of 18 polynomials.
Worksheet
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Analyzing and Solving Polynomial Equations

For Students 9th - 11th
In this polynomial equations worksheet, students identify the number of complex roots, real and imaginary roots, and the number of positive and negative roots. This four page worksheet contains 18 multi-step problems. Answers to the...
Worksheet
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Irrational and Imaginary Root Theorems

For Students 9th - 11th
In this irrational and imaginary root theorem learning exercise, students identify the number of complex zeros for a given function. They write a polynomial function of leas degree with integral coefficients. This four-page learning...
Worksheet
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Evaluating Expressions

For Students 9th - 10th
In this algebra worksheet, students evaluate problems using the substitution method. They multiply, divide, add and subtract after replacing the variables with numbers. There are 26 problems with an answer key.
Worksheet
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Graphing lines in Standard Form

For Students 9th - 11th
In this algebra worksheet, students graph lines on a coordinate plane after rewriting the equations in the form y= mx + b.  There are 12 graphing problems with an answer key.
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Solving Systems of Two Equations with Cramer's Rule

For Students 9th - 11th
In this systems of equations worksheet, students use Cramer's Rule to solve a systems of equations worksheet. This two-page worksheet contains 14 problems. Answers are provided on the last page.
Worksheet
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Matrix Equations Not Requiring Inverses

For Students 9th - 11th
In this matrix equations worksheet, students solve matrix equations involving addition, subtraction, and multiplication.  This four-page worksheet contains 20 problems.  Answers are provided on the last two pages.
Worksheet
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Properties of Parabolas

For Students 9th - 11th
In this properties of parabolas instructional activity, students identify the vertex and the minimum and maximum value of each parabola. They graph parabolas on a coordinate plane. This four-page instructional activity contains 14...
Worksheet
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Writing Equations of Hyperbolas

For Students 10th - 12th
In this writing equations instructional activity, students write the equations of a hyperbola. This four-page instructional activity contains 24 problems. Answers are provided on the last two pages.
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Introduction to Sequences

For Students 9th
In this algebra worksheet, 9th graders analyze patterns and figure out the next number or pattern in the series using explicit and recursive formulas. There are 44 questions with an answer key.
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Introduction to Series

For Students 11th
In this Algebra II/Pre-calculus worksheet, 11th graders rewrite a series as a sum, evaluate a series, and rewrite a series using sigma notation.  The two page worksheet contains 32 problems.  Answers are provided.
Worksheet
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Arithmetic and Geometric Means

For Students 9th - 11th
In this algebra worksheet, students analyze the pattern and come up with the geometric means formula in the sequence. The complete the sequence with before and after numbers in the sequence to make it complete. There are 28 questions...
Worksheet
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Factoring Trinomials (a=1)

For Students 8th - 10th
In this factoring trinomials worksheet, students factor twenty-six trinomial expressions. One problem is not factorable, one is a perfect square, and seven problems require students to factor out a common integer prior to factoring the...
Worksheet
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Multiplying Polynomials

For Students 9th - 10th
In this algebra worksheet, students multiply polynomials using the distributive property and the foiling method. There are 24 questions with an answer key.
Worksheet
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One-Step Equation Word Problems

For Students 8th - 9th
In this word problem worksheet, students read story problems, write equations to match the problem and solve the equations. This four-page worksheet contains 14 problems. Answers are provided on the last page.
Lesson Plan
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Angles, Triangles, Quadrilaterals, Circles and Related

For Teachers 6th - 8th
Middle schoolers classify angles. For this angles lesson, students explore the characteristics of angles, triangles, quadrilaterals and circles. They identify polygons and sing a classifying angles song. Middle schoolers participate...
Lesson Plan
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Solve Percent Problems Using Proportions

For Teachers 9th - 10th
Students explore proportions and ratios. In this solving percent problems lesson, students examine percent problems including tax and percent of change.
Lesson Plan
Utah Education Network (UEN)

Order of Operations Treasure Hunt

For Teachers 4th - 5th
In this algebra lesson, students work in groups to design a treasure map in which algebraic equations must be solved using the correct order of operations. Students decide where treasure is hidden, then create and follow their group's...
Lesson Plan
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Probability

For Teachers 5th - 6th
Students explore probability.  In this probability lesson, students define theoretical probability and experimental probability.  Students predict outcomes of hands on activities using coins and colored tiles, complete a chart...

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