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Solving Quadratic Equations with Complex Roots
In this quadratic equations instructional activity, students solve 10 different equations that include complex roots. First, they solve for the indicated variable and express the roots of the equation in simplest form. Then, students...
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Rate Distortion
In this rate distortion worksheet, students solve 4 different sets of problems that include defining the rate distortion curve in various situations. They construct a rate distortion curve by plotting and angle against a particular line...
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Circular Convolution
In this circular convolution worksheet, students solve and complete 6 different problems related to determining the circular convolution. First, they plot a point and describe its effect of convolution with high and low frequencies....
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Simplifying Equations
In this simplifying equations instructional activity, students solve 11 different problems related to simplifying equations. They first place the correct symbol between each of the number listed and then, find the opposite number as the...
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Systems of Equations
In this systems of equations worksheet, students solve ten sets of problems by using the substitution method. They first decide which variable they are going to solve for, x or y. Then, students replace that value with the other equation...
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Chapter 7 - Objective 3.1 Factor
In this factoring learning exercise, students combine like terms and factor polynomial equations by factoring. This one-page learning exercise contains five problems.
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Factoring Review Sheet
For this factoring worksheet, students factor given polynomial expressions. This three-page worksheet contains 40 problems. Answers are provided at the bottom of the page.
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Chapter 6 - Objective 1.1 Exponential Notation
In this exponential notation learning exercise, students multiply and divide variables containing exponents. This one-page learning exercise contains ten problems.
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Chapter 3 - Objective 2.1 Variable Expressions
For this variable expression worksheet, students solve and check given one and two-step variable expressions using algebra. This one-page worksheet contains ten problems.
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Theory of Polynomials
In this polynomial worksheet, students find all zeros of polynomials. They write polynomials as the product of linear fractions. This two-page worksheet contains 27 problems. The second page provides answers.
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Chapter 2 - Objective 2.1 Polynomials
In this polynomial instructional activity, students use the distributive property to multiply polynomials. This one-page instructional activity contains ten problems.
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Chapter 10 - Objective 1.1 Quadratic Equation
In this quadratic equation worksheet, students solve equations by factoring. They write quadratic equations that have a solution with a given pair of numbers. This one-page worksheet contains ten problems.
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Linear Systems: The Matrix Inverse
In this matrix inverse worksheet, students identify a matrix which when multiplied by a coefficient matrix, it transforms into an identify matrix. They use the Gauss-Jordan elimination process to find an inverse matrix. This four-page...
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Linear Systems: The Inverse Matrix
In this inverse matrix worksheet, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page worksheet contains explanations, examples and two practice problems.
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Using Fourier Series
In this Fourier series worksheet, students use polynomials to approximate functions. They use trigonometric functions to approximate periodic functions. Students sketch graphs of functions and find the second degree Fourier polynomial....
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More Factoring
In this factoring worksheet, students identify the coefficients in the polynomial and then use factoring to simplify the problem. Explanations and examples are provided. This two-page worksheet contains ten problems.
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Numerical Analysis: Using the QR Algorithm
In this QR algorithm learning exercise, students use the QR algorithm to solve an over-determined system of equations. This two-page learning exercise contains 11 problems.
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Numerical Analysis: Dimensional Vectors
In this dimensional vector worksheet, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page worksheet contains approximately ten problems.
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Hess's Law Cycle
In this chemistry worksheet, learners write the balanced equation for the formation of one mole of fat from its elements under standard conditions. Then they write the balanced equation of the combustion of this fat. Students use Hess's...
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Coefficient of Restitution
Students investigate variables that influence the bouncing of balls. In this exploratory instructional activity students observe how the manipulated and control variable are correlated by graphing the data.
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Parabolas
In this parabolas learning exercise, students solve and complete 12 different types of problems. First, they draw a sketch of each equation shown. Then, students write the vertex form of each graph on the line provided.
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Combining Like Terms
In this combining like terms learning exercise, 9th graders solve and complete 10 different problems that include like terms. First, they identify the like terms in each equation. Then, students add all like terms together, making sure...
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Balancing Worksheet
In this balancing equations worksheet, students balance 17 chemical equations by placing the proper coefficient in front of the different chemical formulas. State of matter of each chemical compound is listed.
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College Prep Worksheet Chapter 2, 2.1-2.4, 2.6, 2.8 & 7.5
In this algebra worksheet, students identify the coefficient, simplify expressions, solve algebraic equations, and graph inequalities. This worksheet contains 93 equations, with an answer key.