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Chapter 7 - Objective 3.1 Factor
In this factoring worksheet, students combine like terms and factor polynomial equations by factoring. This one-page worksheet contains five problems.
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
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Expressions Containing Several Radical Terms
In this algebra worksheet, students add 5 expressions with radical signs. In 6 problems, students multiply with radicals over parenthesis. The final 4 problems require students to rationalize the denominator and divide.
Illustrative Mathematics
An Integer Identity
Challenge algebra learners to use the difference of cubes to solve this problem. Once your charges have taken out the factor (a - b), combined the like terms and set them equal to zero, the problem becomes a factorable quadratic...
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Multi-Step Equations
In this multi-step equation worksheet, students solve algebraic equations with variables on both sides. They simplify the equation by collecting like terms and then solve for the unknown. This two-page worksheet contains 20 problems....
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Solving Quadratic Equations with Square Roots
For this quadratic equations worksheet, students solve quadratic equations containing square roots. They combine like terms and solve for the unknown. This four-page worksheet contains 28 problems. Answers are provided on the last two...
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Expressions
In this expressions activity, students solve and complete 16 different problems related to various expressions. First, they define each of the listed terms and know each given property. Then, students state the order of operations and...
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Quiz 1-6: Commutative and Associative Properties
In this properties worksheet, students solve 8 short answer and multiple choice questions. Students determine which algebraic property is represented by the given example.
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Using Algebra to Solve Puzzles
Students explore basic algebraic operations to solve real life situations. Additional problems are presented to continue the exploration of the concept.
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Extra Practice 13: Solving Inequalities
In this inequality worksheet, students collect like terms and then solve inequalities. They list the solution set. Thirty problems are available on this two-page worksheet.
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The Canoe Trip, Variation 1
Your river sportsmen will explore an example of paddling upstream as they build functions modeling speed and time in terms of the speed of the current. They then use their algebraic models to interpret features of the function related to...
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Increasing or Decreasing? Variation 1
Your algebra learners analyze the value of an algebraic expression to decide if it will increase, decrease, or stay the same when one variable is changed as the others stay constant. Their collaborative efforts culminate with a written...
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WORKSHEET # 8 [4.4, 4.5, 4.6, 4.7, & 4.8]
In this college prep algebra worksheet, students combine like terms in 15 polynomial expressions. Students multiply polynomials in 18 expressions. Students divide 6 polynomial expressions. The rest of the 48 problems relate to the...
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Division Principle
For this division principle worksheet, students solve 20 different problems that include applying the division principle to determine the value of each variable. They solve each equation for the variable by getting the variable alone on...
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Solving Multi-Step Equations (Ch. 2.3)
Eighth graders solve multi-step equations, showing each step in their solution. This multi-step equations lesson includes sample problems to complete as a class, clear step by step instructions for the student and a linked comic strip...
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Rational Fractions
In this rational fractions worksheet, 9th graders solve 10 different types of problems that include adding and subtracting. First, they factor each denominator completely, including constant factors, and express repeated factors in...
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Undefined Fractions
In this undefined fractions worksheet, 9th graders solve 10 different problems related to solving various undefined fractions. They determine the value of x in each that makes the fractions undefined. Students determine when the...
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Rational Fractions
In this rational fractions worksheet, 9th graders solve 10 different problems that contain using multiplication to solve them. First, they multiply the numerators, then they multiply the denominators in each problem shown. Students also...
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Fractional Exponents
In this fractional exponents learning exercise, 9th graders solve 10 different problems that include various types of fractional exponents within them. First, they evaluate each given expression. Then, students determine whether their...
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Solving Fractional Equations
In this fractional equations worksheet, 9th graders solve 10 different problems that include various types of rational expressions. First, they determine the least common denominator in each. Then, students compare the numerators and add...
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Graphing Systems of Inequalities
In this systems of inequalities activity, 9th graders solve 10 different sets of problems that include graphing systems of inequalities. First, they graph each inequality separately. Then, students solve each system of inequalities and...
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Conditional Statements and Converses
In this conditional statements and converses learning exercise, 9th graders solve and complete 10 various types of statements as instructed. First, they identify the hypothesis and conclusion of the conditional statement given. Then,...
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Distributive Property
In this distributive property worksheet, students solve and complete 10 different problems that include applying the distributive property to solve each one. First, they follow the order of operations and calculate what is in the...
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Associative Property
In this associative property worksheet, learners 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 each...
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