Worksheet
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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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DeMoivre's Theorem

For Students 11th - Higher Ed
For this DeMoivre's theorem worksheet, students find square, third, fourth and fifth roots of complex numbers. They give answers in trigonometric form. This one-page worksheet contains six problems. Answers are provided at the bottom...
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Distance Formula

For Teachers 9th - 10th
Learners create ways to find the number of square miles that lie in a triangle having vertices at A, B, and C. They compute the distance between two points and use Heron's formula to find the area of the triangle. Finally, students...
Lesson Plan
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Quadratic Equations

For Teachers 9th - 12th Standards
Using the provided worksheets, young scholars solve equations involving factoring and finding square roots. At the conclusion of the lesson plan, they discuss the answers and any difficulty experienced in solving the equations.
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Going out of Business: Pythagorean Theorem

For Teachers 8th - 9th
Students find the length of diagonals.  In this Pythagorean theorem lesson, students use the Pythagorean theorem to determine the length of diagonals. 
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The Quadratic Formula

For Students 9th
In this quadratic formula worksheet, 9th graders identify and solve 20 different problems by applying the quadratic formula to each one. First, they read the lesson and examples to identify the quadratic formula. Then, students use the...
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The Quadratic Formula

For Students 9th - 10th
In this quadratic formula worksheet, learners use the quadratic formula to solve given problems. Examples and explanations are given at the beginning of the worksheet. This one-page worksheet contains 20 problems. Answers are provided...
Interactive
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Pythagorean Theorem

For Students 9th
In this Pythagorean theorem worksheet, 9th graders solve and complete 8 different types of problems. First, they go to the given website and copy the picture shown. Then, students draw a right triangle using the straight line between the...
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Simplifying Radical Expressions

For Students 9th
In this radical expressions worksheet, 9th graders solve and complete 20 different problems that include simplifying various radical expressions. First, they define rationalizing the denominator. Then, students simplify and leave each in...
Lesson Plan
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Doing Battle With Radical Equations

For Teachers 9th - 12th
High schoolers observe and solve examples of equations involving radicals. They complete a Doing Battle With Radical Equations worksheet and checklist.
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Perfect Squares

For Teachers 6th - 8th
For this math worksheet, middle schoolers solve the problems that have the form of perfect squares. These are essential to finding the roots.
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Misconceptions in Mathematics

For Students 6th
In this misconceptions worksheet, 6th graders solve and complete 3 different steps in a problem. First, they solve by multiplying the fraction of a number to get the percentage. Then, students find the square roots of both sides of a...
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Simplifying Expressions

For Students 11th
In this simplifying expressions worksheet, 11th graders solve and complete 44 various types of problems. First, they solve for the given variable in each equation. Then, students simplify each expression and factor completely. They also...
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Expand Using Laws of Logarithms

For Students 9th - 11th
In this logarithm worksheet, students expand given logarithms containing fractions, exponents, and multiplication problems.  This two-page worksheet contains 8 multi-step problems.  Answers are provided on the last page.
Lesson Plan
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A Lesson on the Root Spiral

For Teachers 9th - 10th
Students create lines and shapes with a compass and a straight edge. In this geometry instructional activity, students investigate square roots, irrational numbers and spirals. They explore nature to see the shapes representing...
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Quotable Puzzles

For Students 7th - 9th
In this algebra puzzle instructional activity, students evaluate 25 different expressions using the values provided for a, b, c, x, y, and z. They then match the answer to the correct letter of the alphabet and use the letters to solve...
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Operations with Radicals

For Students 9th
In this operations with radicals instructional activity, 9th graders solve 10 different equations that include various radicals. First, they perform the indicated operations in each problem. Then, students simplify their answers, some...
Lesson Plan
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Geometry: Practical Applications of the Distance Formula

For Teachers 9th - 10th
Students, working independently and in groups, apply the distance formula to practical situations. After solving various problems, students in pairs design coordinate planes from the school blue print to measure the distance from the...
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Adding and Subtracting Radical Expressions

For Students 8th - 9th
In this algebra worksheet, students add and subtract 28 radical expressions. Eight problems have the same radicand, twenty involve students factoring out a square prior to the addition and subtraction.
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Quiz: Simplifying Radicals

For Students 7th - 8th
In this simplifying radicals worksheet, students simplify radicals containing integers. All radicals in this worksheet contain perfect squares. This one-page worksheet contains ten problems.
Lesson Plan
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Distance Formula

For Teachers 7th - 9th
Students determine the distance between two points.  In this distance formula lesson, groups of students determine the distance between points in real life situations.  They calculate the distance from one point in the...
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Complex Fractions

For Students 9th
In this complex fractions worksheet, 9th graders solve 10 different problems that include simplifying various complex fractions. First, they create one single fraction in the numerator and then in the denominator. Then, students rewrite...
Worksheet
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8th Grade Mathematics Booklet

For Students 8th
In this 8th grade mathematics compilation worksheet, 8th graders solve 40 various types of problems for 8th grade. They determine the measurement of various triangles. Students also write the expanded form of an expression. In addition,...
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Inverse Functions and Relations

For Students 11th
In this inverse functions and relations instructional activity, 11th graders solve and complete 12 different problems. First, they find the inverse of each relation and determine whether the inverse is a function. Then, students find the...