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Draw the Line
In this equations of a line worksheet, 9th graders solve 10 different problems related to solving for the equation of a line as stated. First, they draw the line that is described in each statement. Then, students determine the line that...
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Evaluating Variable Expressions
For this variable expressions worksheet, students evaluate expressions for given terms. Each of the ten expressions contain three variables. Students substitute a given value for the variable and solve the equation.
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Particular and Homogeneous Solutions
In this homogeneous and general solutions worksheet, students solve and graph 4 different types of equations related to particular solutions. They determine the general solution to each of the 4 homogeneous equations and the solution of...
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Null Space And the General Solution
In this null space learning exercise, students solve 5 different problems that are related to null space and the general solution of an equation. First, they find a solution to the given equation given that Ax=b. Then, students verify...
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Multiplying Polynomials
In this multiplying polynomials learning exercise, 9th graders solve 10 different equations that involve multiplying various polynomials. First, they determine how many polynomials are in each problem. Then, students distribute by taking...
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Properties of Real Numbers
In this properties of real numbers worksheet, 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 problem....
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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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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 worksheet, 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 shown and...
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Algebraic Equations
In this algebraic equations learning exercise, 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 worksheet, 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 each...
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Cramer's Rule
In this Cramer's Rule worksheet, students 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, students 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 instructional activity, students 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...
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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 instructional activity, 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...
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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 learning exercise, students factor polynomials. Equations contain two to three terms, with one to two different variables. This one-page learning exercise 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
For 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.