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Equations and Inequalities

For Teachers Higher Ed
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...
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Solving One-Step Linear Word Problems and Equations

For Students 8th - 10th
In this solving equations instructional activity, students solve twenty one-step linear word problems and linear equations.  The solving linear equations problems are broken down into five steps each.
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Exploring Linear Equations

For Teachers 3rd
Third graders use graphing calculators to graph equations. They make visual models of algebraic expressions and they can readily see that an equation represents something.
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Algebra Wizards

For Teachers 2nd
Second graders are exposed to algebraic thinking by exploring the concept of a variable. They tell how many years have passed since they've seen a favorite teacher and then examine how they arrived at this number. They write equations.
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I Can Do This! Systems of Equations

For Teachers 8th - 9th
Students solve systems of 2-by-2 linear equations using tables, graphs and substitution. In small groups, classmates work together to discover strategies for solving equations. They use a calculator to graphically represent their answers.
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Algebra: Linear Equations

For Teachers 6th - 8th
Middle schoolers investigate the mathematical concept of linear equations. They use codes to lead the discussion. The teacher makes clarification as necessary during the class discussion. The instructional activity includes dialogue to...
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Introductory Algebra Chapter 2 Review

For Teachers 6th - 8th
In this math worksheet, students solve the problems that use linear equations. They check to see if the solutions are true for each equation.
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Using Proof in Algebra

For Students 10th
In this using proofs in algebra instructional activity, 10th graders solve 2 proofs by applying the many rules from algebra for the Properties of Equality for real numbers. They name the property that justifies each statement as seen in...
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Solving Equations

For Students 7th - 8th
In this solving equations worksheet, students solve and complete 20 various types of problems. First, they solve all types of linear equations in one variable. Then, students compare the quantity in Column A with quantity in Column B and...
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Solving Systems of Linear Equations Graphically

For Teachers 9th - 10th
Students solve systems of equations graphically. In this algebra lesson, students find the point of intersection of two lines if they are not parallel. They rewrite the equation in the y=mx + b form and graph using slope and intercept.
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Systems of Equations

For Teachers 9th - 10th
Students solve systems of equations. In this algebra activity, students use elimination and substitution to solve for the point of intersection. They use graphing to see where the two lines intersect.
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The Language of Algebra

For Teachers 7th - 8th
Learners compare the language of algebra to a foreign language. They play the game "Pictionary" to emphasize that pictures can represent words. After writing definitions and discussing the meaning of variable expressions, students, in...
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Introductory Algebra Chapter 10 Review

For Teachers 6th - 8th
In this math worksheet, students solve the problems for the quadratic equations. They factor the equations and determine the probability of the two solutions.
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Algebra: Addition and Subtraction Equations: Practice

For Students 4th - 5th
In this addition and subtraction equations worksheet, students use mental math to solve the addition and subtraction equations. Students then answer two test prep questions.
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Math Club #1: Algebra

For Students 9th
In this math club #1:  algebra activity, 9th graders work in groups to solve 6 algebraic expressions.
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Solving One-Step Equations

For Teachers 9th
Ninth graders explore the concept of a simple equation. They use addition and subtraction in one step in order to find balance to both sides of the equation. Students are encouraged to succeed using positive praise at the beginning of...
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Linear and Non-Linear Equations

For Teachers 8th - 9th
Learners study linear and non-linear equations. After a teacher demonstration, they use calculators to solve and graph equations. They distinguish the difference between linear and non-linear equations.
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Solving Quadratic Equations by Completing the Square

For Students 9th - 12th
In this solving quadratic equations worksheet, students complete the square to tell the possible answers for 18 equations. 4 answers involve the square root of -1 (i).
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Linear Systems

For Teachers 7th - 9th
Students solve and graph linear equations. In this algebra lesson, students solve systems of equations using elimination and substitution. They graph their answer and identify the point of intersection.
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2 X 2 Linear Systems

For Teachers 7th - 9th
Students solve 2 X 2 systems graphically and algebraically. They investigate parallel systems. They solve application problems using 2 X 2 systems.
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Graphing Systems of Equations - Word Problemsr

For Teachers 8th - 10th
Young scholars solve word problems which involve graphing systems of equations. After discussing methods of solving word problems, the teacher demonstrates how to solve problems which involve graphing. They work together, at their...
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Introductory Algebra Chapter 7 Review

For Teachers 6th - 8th
In this math worksheet, students solve the problems based upon finding the slope of the linear equation lines. Each problem set has a detailed example.
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Solving Equations in one variable

For Students 9th
In this Algebra I worksheet, 9th graders solve multi-step one variable equations where the first step is indicated.  The three page worksheet contains twenty-four problems.  Answers are not included. 
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Linear Equations

For Students 8th
In this Algebra I worksheet, 8th graders write the equation of a line given two points and given a linear equation determine the slope, x-intercept, y-intercept, and graph the line.  The five page worksheet contains ten...

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