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Properties of Real Numbers
In this properties of real numbers instructional activity, 9th graders solve 10 different problems that include applying various properties for real numbers. First, they identify the property of real numbers that is demonstrated in each...
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Solving Quadratic Equations with Complex Roots
In this quadratic equations worksheet, 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 determine the...
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Simplifying Complex Fractions/Expressions
In this simplifying complex fractions and expressions worksheet, students solve 10 different problems that include simplifying fractions. First, they determine the least common denominator of all fractions with the complex fraction....
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Simplifying Using the Distributive Property
In this simplifying using the Distributive Property worksheet, 9th graders solve 18 various problems by applying what they know of the Distributive Property. First, they multiply each term in parenthesis by the term in front of the...
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Algebra Using Proportions
In this algebra using proportions learning exercise, 10th graders solve 14 various types of problems by applying algebra methods to geometry. First, they solve each of 8 proportions using cross products. Then, students use the triangle...
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Algebraic Equations
In this algebraic equations worksheet, students solve and check ten algebraic equations. In the first 3 problems, they find the solution of the equation by using the substitution method. And in the last 7, students solve for each...
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Inequalities
In this inequalities worksheet, students solve ten problems that are inequalities. They also identify that when solving inequalities, they have to flip the inequality sign when they multiply or divide the inequality by a negative....
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Graphing Inequalities
In this graphing inequalities learning exercise, students solve and graph the solution set for eight inequalities. They first solve each inequality, either for x or for y, then they plot the coordinates found on the graph provided for...
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Cramer's Rule
In this Cramer's Rule worksheet, learners first evaluate five determinants or square matrix. Then they solve the last five problems by applying Cramer's Rule. Students identify and define Cramer's Rule as a theorem used with linear...
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Absolute Value Equations
In this absolute value equations worksheet, learners solve ten absolute value equations. They first set the quantity inside the absolute value sign equal to the positive and negative value on the other side of the equal sign. Students...
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Algebra Word Problems
In this inequality word problem worksheet, learners solve ten word problems related to algebra and inequalities. They first determine how many pounds of cheese it would take to make a specific amount of grated cheese topping. Students...
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Solving Linear Equations
In this linear equations worksheet, students solve six linear equations and check their work. Then they translate the next 4 problems into an equation and solve those too. Students first combine like terms when necessary and then solve...
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Linear Equations
In this linear equations worksheet, students solve ten problems. The first five, they find the equation of the line that contains the given point and has the given slope. Then, for the last five, students find the equation containing...
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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 1.1 Polynomials
In this polynomial instructional activity, students factor polynomials. Equations contain two to three terms, with one to two different variables. This one-page instructional activity contains ten problem.
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Chapter 6 - Objective 1.1 Exponential Notation
In this exponential notation worksheet, students multiply and divide variables containing exponents. This one-page worksheet contains ten problems.
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Chapter 11 - Objective 2.1 - Completing the Square
In this completing the square worksheet, students simplify given equations by completing the square. This one-page worksheet contains ten problems.
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Chapter 6 - Objective 3.1 Systems of Equations
In this systems of equations worksheet, students solve systems of equations by the addition method. This one-page worksheet contains ten problems.
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Chapter 3 - Objective 1.1 Variable Expressions
In this variable expression worksheet, learners solve one and two-step variable expressions containing negative numbers and fractions. This one-page worksheet contains ten problems.
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Chapter 2 - Objective 2.1 Polynomials
In this polynomial worksheet, students use the distributive property to multiply polynomials. This one-page worksheet contains ten problems.
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Functions of Two Variables
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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Multivariable Optimization
In this multivariable optimization worksheet, students determine the local maximum and local minimum of given functions. They identify the critical points for given function and match contour plots to the proper functions. This four page...
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Math 224 Spring 2004: Multivariable Chain Rule
In this multivariable chain rule activity, students evaluate given problems using the multivariable chain rule. This two page activity contains three multi-step problems.
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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.