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Distance Formula
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 school to another.
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Difference of Squares
Students analyze arithmetic statements. For this difference of squares lesson, students explore patterns and factor the difference of two squares. They compare quantities with integers. Students model and solve equations.
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Going out of Business: Pythagorean Theorem
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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Higher Roots and Rational Exponents
In this higher roots worksheet, 9th graders solve and complete 40 various types of problems. First, they simplify each root by taking the number inside times another number. Then, students write out the root using rational exponents.
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Solving Quadratic Equations with Square Roots
In this quadratic equations activity, students solve quadratic equations containing square roots. They combine like terms and solve for the unknown. This four-page activity contains 28 problems. Answers are provided on the last two pages.
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Multiplying Radical Expressions
In this radical expressions worksheet, students multiply given radical expressions containing variables and exponents. This four-page worksheet contains 28 problems. Answers are provided on the last page.
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Dividing Radical Expressions
In this dividing radical expressions worksheet, students simplify given radical expressions. This four-page worksheet contains 22 problems. Answers are provided on the last page.
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Pythagorean Theorem
In this Pythagorean theorem learning exercise, 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...
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Simplifying Expressions
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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Inverse Functions and Relations
In this inverse functions and relations worksheet, 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 inverse of...
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Quaternions
In this quaternions learning exercise, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by...
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Estimating Square Roots
In this square roots instructional activity, 9th graders solve and complete 11 different problems that include estimating various square roots. First, they determine the value of each given square root to the nearest tenth. Then,...
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Solving Quadratic Equations
In this quadratic equations worksheet, 9th graders solve and complete 7 different problems that include factoring quadratics. First, they solve for the values of x that make the equation true. Then, students substitute their values into...
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Expressions and Operations
In this expressions and operations activity, students solve 5 multiple choice problems involving quadratic equations. Students answer 1 world problem and solve 4 quadratic equations.
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The Quadratic Formula
In this quadratic formula instructional activity, students use the quadratic formula to solve given problems. Examples and explanations are given at the beginning of the instructional activity. This one-page instructional activity...
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8th Grade Mathematics Booklet
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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Radicals
In this radicals worksheet, 9th graders identify and solve 21 different problems that include various simple radical forms. First, they determine if there is a radical in the denominator. Then, students rationalize the denominator by...
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The Quadratic Formula
In this quadratic formula instructional activity, 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,...
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Complex Fractions
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...
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Square Roots
In this square roots worksheet, 9th graders solve 10 different problems that include simplifying with negative numbers. First, they identify the negative number in each equation and pull out from under the radical sign as i. Then,...
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Translate a Story Problem: Using Equations with Square Roots
In this translating a story problem worksheet, students work one word problem. As students translate the problem into math symbols and drawings, they can drag their mouse over the story. The steps to setting up the problem are...
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Worksheet Chapter 7 & 8 College Prep Algebra
In this algebra worksheet, learners find the value of given expressions, simplify division equations containing two variables, find the square root, and solve radicals. This worksheet contains 100 problems and contains an answer key.
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Right Triangles
In this right triangles worksheet, students solve and complete 2 different types of problems. First, they take the case of an isosceles right triangle with a given leg and hypotenuse. Then, students find the sum of the squares of the...
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Rational and Irrational Numbers
Here is a rational and irrational numbers worksheet in which learners identify 10 different expressions related to various types of numbers. They determine whether each expression given is a rational or irrational number.