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Illustrative Mathematics
Equations of Lines
The intent of this resource is to show algebra learners that there is a proportional relationship between two lines that have an intersecting point. As the coordinate x increases by a constant, the y coordinate also increases. It...
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The Bank Account
Your algebra learners become bankers for a day as they explore compounding interest and the formula used to calculate the balance in a savings account. Questions guide the learners as they analyze the formula's parts and their connection...
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Models with monomials and polynomials
High schoolers participate in a activity that focuses on the concepts of combining monomials to make polynomial expressions. They use algebra tiles to complete the exercises in the activity. This is hands-on learning with successive...
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Dividing Monomials
For this monomials worksheet, 9th graders solve and complete 14 different problems that include dividing various monomial expressions. First, they divide the powers with the same base and subtract the exponents. Then, students simplify...
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Using the Distributive Property #5
In this using the distributive property #5 worksheet, students simplify 10 algebraic expressions by using the distributive property and combining like terms.
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Complex Numbers
For this complex numbers worksheet, 9th graders solve 10 different problems that include addition and subtraction of these numbers. First, they add or subtract the coefficients of similar terms algebraically. Then, students remove the...
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Euler's Method and the S-I-R Model of Disease
In this Euler's method activity, students determine algebraic expressions for quantities in given terms. Next, they use Euler's Method to identify the information. Lastly, they confirm their calculations through the S-I-R method. This...
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The Distributive Property
In this distributive property worksheet, students solve and complete 12 different problems that include using the distributive property to solve. First, they name the coefficient of each terms and list the like terms. Then, students use...
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Addition and Subtraction of Polynomials
In this polynomials worksheet, 9th graders solve 10 different problems that include addition and subtraction of various polynomials. First, they remove the parentheses and group like terms together. Then, students add or subtract like...
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Division of Polynomials
In this division of polynomials worksheet, 9th graders solve 10 different equations that include monomials. First, they divide each terms of the polynomial by the monomial and subtract the exponents. Then, students write the appropriate...
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Linear Equations
In this linear equations worksheet, 6th graders solve and complete 18 different types of problems. First, they combine like terms on one side of the equals sign. Then, students add or subtract like terms and divide by the number in front...
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Solving Linear Equations
In this algebra worksheet, students solve linear equations and expressions by combining like terms. There are 10 questions with an answer key.
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Solving Open Sentences Involving Absolute Value
In this math worksheet, students solve 6 open sentences and graph solutions using a line graph. Students then express 2 story problems in terms of inequalities. Students then write open sentences for 2 graphs.
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Sequence Investigation
Eleventh graders investigate arithmetic sequences. In this Algebra II lesson, 11th graders create an arithmetic sequence and explore the effect of each variable in the formula of the nth term of an arithmetic sequence. ...
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Binomial Expansions 3
In this Algebra II worksheet, 11th graders apply the binomial theorem to expand a binomial and determine a specific term of the expansion. The one page worksheet contains four problems. Answers are provided.
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River Optimization Problem
Students define the different methods used for optimizing a particular element of a problem. In this optimization problem lesson, students optimize appropriate details of a problem using data collection, algebra, technology, and/or...
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Subtracting Monomials and Polynomials
Students subtract monomials and polynomials by combining like terms. In this advanced subtraction activity, students define the rules and properties for subtraction of polynomials. They apply the rules for addition to help with the rules...
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Distributive Laws
In this distributive laws worksheet, students solve and complete 8 different types of problems. First, they expand each equation by removing the brackets. Then, students remove the brackets and collect like terms in each. In addition,...
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Equivalent Ratios (Practice 18.2)
In this ratios worksheet, students solve 22 problems in which equivalent ratios are found or ratios are expressed in simplest form.
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An Introduction To Solving And Graphing Inequalities
Students graph inequalities and solve the equations. In this algebra lesson, students graph their solutions on a number line and create an inequality for a word problem.
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A Triangle Expansion
Students review the foil method used to multiply two binomials. In this lesson on evaluating algebraic expressions, students are able to identify the coefficient in an algebraic expression, "act out" the foil method of multiplying...
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Quadratic Equations
In this algebra worksheet, students solve quadratic functions through factoring and graphing. They solve for the area of a rectangular area. There are 20 questions.
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Factoring
In this algebra activity, students solve quadratic equations and factor using complete the square. There are 20 problems.
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Solving Quadratics
In this algebra learning exercise, 11th graders solve quadratic equations and simplify radicals in to their simplest form using a radical sign. They complete the square and factor equations. There are 13 questions on this learning exercise.