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Algebra I: A Draining Swimming Pool
Students analyze and develop symbolic representations to describe the amount of water left in a pool being pumped out after a given amount of time, with various pumping rates and initial quantities of water in the pool.
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Solving Equations
In this solving equations worksheet, students solve for x in 24 problems by combining like terms. All the equations involve addition and have only a single variable.
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Solving Equations (combine like terms)
In this solving for x learning exercise, students solve for x in these addition problems by combining like terms. Students complete 24 problems.
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Exponents
In this Algebra II worksheet, 11th graders use the laws of exponents to simplify expressions. The exponents include fractions, variables, radicals, and imaginary numbers. The one page worksheet contains thirty-four problems. Answers...
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Reciprocals
Students factor rational expressions using their reciprocals. In this algebra lesson, students simplify rational equations by factoring the fraction vy its reciprocal. They use the distributive property and solve combining like terms.
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Solving Multi-step Equations
Seventh graders solve 10 different problems that take multiple steps to solve. First, they combine like terms if necessary. Pupils isolate the terms that contain the variable they want to solve. In addition, they substitute their answer...
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Polynomial Functions
In this Algebra II worksheet, 11th graders classify polynomials by degree, write in standard form, and describe the behavior of the graph. The two page worksheet provides explanation and examples along with thirteen practice problems....
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Eighteen Matrix Operations Questions
In this matrix operations worksheet, students use matrix operations (adding, subtracting, multiplying) to simplify eighteen matrices, if possible. Solutions are provided.
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Operations of Polynomials
Students investigate the concept of manipulating polynomials. They go through the process of using algebra tiles in order to practice grouping of like terms and model the solving process.
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Laws of Exponents
Ninth graders identify the different laws of exponents. In this algebra lesson, 9th graders write the rules of exponents and use them to solve problems. They use the product, quotient laws to solve problems.
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Operations with Complex Numbers
In this complex numbers instructional activity, students simplify thirty complex number expressions and answer two critical thinking questions. The solutions are provided.
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Multiplication of Square-Root Radicals
In this Algebra I/Algebra II worksheet, students multiply square-root radicals and express answers in simplest form. The one page worksheet contains three problems. Answers are provided.
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Two Step Equations
Sixth graders solve multiple step math problems. In this problem solving lesson, 6th graders practice following step by step instructions such as making cookies or building a snowman. Students use algebra tiles and draw pictures to solve...
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Properties of Logarithms
In this algebra worksheet, 11th graders apply the 3 properties of logarithms to solve equations by expanding or condensing them. There are 4 problems to solve.
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Changing Units of Measure
In this algebra worksheet, students convert between units. They write expressions and simplify them. There are 4 problems with an answer key.
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Rational Numbers
In this Algebra I worksheet, 9th graders identify properties from the real number system and use the distributive property to collect simplify expressions with parentheses. The one page interactive worksheet contains five multiple...
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Function Tables
Young scholars identify function using tables of data. In this algebra lesson plan, students create a tale of point and plot on a coordinate plane. They analyze the graph as being a function or not.
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Whatever You do to One Side, You Must do the Other
In this solving linear equations worksheet, students combine like terms to solve 9 equations. Students solve 8 proportion problems by cross multiplying.
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Imaginary and complex Numbers
In this Algebra II worksheet, 11th graders simplify expression involving imaginary and complex numbers and determine the quadratic equation that would have the given complex roots. The on page worksheet contains thirty-four problems. ...
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Solving Square Root and Other Radical Equations
For this Algebra II worksheet, 11th graders solve equations involving radical equations. The worksheet provides an explanation and worked examples. The two page worksheet contains three problems. Solutions are not provided.
West Contra Costa Unified School District
Point-Slope Application Problems
Create a linear equation for a problem when the intercept information is not given. The two-day lesson introduces the class to the point-slope form, which can be used for problems when the initial conditions are not provided. Pupils...
West Contra Costa Unified School District
Solving Equations Using Balance Scale, Decomposition, and Graphing
There's more than one way to solve an equation — three, actually. Scholars learn how to solve simple linear equations in one variable using three different methods, which include using balance scales, using decomposition (e.g., turning...
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Associative Property
In this associative property learning exercise, students solve 10 different problems that include using the associative property to solve each one. First, they rewrite each equation by using the associative property. Then, students solve...