Illustrative Math Alignment: Grade 6 Unit 1
Expressions and Equations
Lesson 6: Write Expressions Where Letters Stand for Numbers
Use the following Media4Math resources with this Illustrative Math lesson.
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Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 2 | Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 2TopicSolving Equations DescriptionAn example of solving a two-step equation with division and addition: x/4 + 4 = 14. It includes each step to isolate the variable using inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 3 | Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 3TopicSolving Equations DescriptionAn example of solving a two-step equation with division and addition: -x/3 + 4 = 8. The solution uses inverse operations to isolate x with careful handling of the negative sign. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 4 | Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 4TopicSolving Equations DescriptionAn example of solving a two-step equation with division and addition: -x/6 + 5 = 17. The solution details each inverse operation step to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 5 | Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 5TopicSolving Equations DescriptionAn example of solving a two-step equation with division and addition: -x/7 + 6 = 43. The solution carefully applies inverse operations to solve for x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 6 | Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 6TopicSolving Equations DescriptionAn example of solving a two-step equation with division and addition: x/6 + (-2) = 38, showing each step to isolate x through inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 7 | Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 7TopicSolving Equations DescriptionAn example of solving a two-step equation with division and addition: x/10 + (-6) = 76. Each inverse operation is shown to solve for x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 8 | Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 8TopicSolving Equations DescriptionAn example of solving a two-step equation with division and addition: -x/9 + (-5) = 71. The solution includes each inverse operation needed to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 9 | Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 9TopicSolving Equations DescriptionAn example of solving a two-step equation with division and addition: -x/2 + (-8) = 22, detailing the inverse operations step-by-step to solve for x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 1 | Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 1TopicSolving Equations DescriptionAn example of solving a two-step equation with division and subtraction: x / 5 - 3 = 7 using two inverse operations to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 10 | Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 10TopicSolving Equations DescriptionAn example of solving a two-step equation with division and subtraction: -x / 3 - (-12) = -42 with two inverse operations to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 2 | Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 2TopicSolving Equations DescriptionAn example of solving a two-step equation with division and subtraction: x / 4 - 4 = 14 with a two-step inverse operation approach. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 3 | Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 3TopicSolving Equations DescriptionAn example of solving a two-step equation with division and subtraction: -x / 3 - 4 = 8 through inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 4 | Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 4TopicSolving Equations DescriptionAn example of solving a two-step equation with division and subtraction: -x / 6 - 5 = 17 using two inverse operations to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 5 | Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 5TopicSolving Equations DescriptionAn example of solving a two-step equation with division and subtraction: -x / 7 - 6 = 43 using inverse operations to isolate the variable. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 6 | Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 6TopicSolving Equations DescriptionAn example of solving a two-step equation with division and subtraction: x / 6 - (-2) = 38 with a two-step approach using inverse operations. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 7 | Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 7TopicSolving Equations DescriptionAn example of solving a two-step equation with division and subtraction: x / 10 - (-6) = 76 by performing two inverse operations to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 8 | Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 8TopicSolving Equations DescriptionAn example of solving a two-step equation with division and subtraction: -x / 9 - (-5) = 71 using two inverse operations to isolate the variable. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 9 | Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 9TopicSolving Equations DescriptionAn example of solving a two-step equation with division and subtraction: -x / 2 - (-8) = 22 by performing two inverse operations to isolate x. This example demonstrates how to isolate the variable by first undoing any addition or subtraction, followed by division to find the solution. Solving equations is a foundational skill in algebra, involving steps to isolate the variable and solve for its value. This collection of examples illustrates different methods for solving two-step equations, reinforcing the importance of order in arithmetic operations. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations with Algebra Tiles--Example 1 | Math Example: Solving Two-Step Equations with Algebra Tiles--Example 1TopicSolving Equations DescriptionThis example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image depicts solving 2x + 2 = 4 using algebra tiles, showing steps including modeling, creating zero pairs, and dividing to find x. In this example, the caption emphasizes the importance of using model tiles to visualize the equation. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations with Algebra Tiles--Example 10 | Math Example: Solving Two-Step Equations with Algebra Tiles--Example 10TopicSolving Equations DescriptionThis example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image illustrates solving the equation -2x - 1 = 5 with algebra tiles. It shows steps: modeling both sides, turning subtraction into addition of a negative, creating zero pairs, and replacing with opposite tiles to solve for x = -3. This process combines multiple concepts seen in previous examples. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations with Algebra Tiles--Example 2 | Math Example: Solving Two-Step Equations with Algebra Tiles--Example 2TopicSolving Equations DescriptionThis example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image illustrates the equation 2x + 1 = 5 with algebra tiles. It shows how to solve for x by modeling, adding opposite tiles, and dividing the remaining tiles. In this example, the caption emphasizes the importance of using model tiles to visualize the equation. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations with Algebra Tiles--Example 3 | Math Example: Solving Two-Step Equations with Algebra Tiles--Example 3TopicSolving Equations DescriptionThis example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image shows a visual representation of the equation 3x + 1 = 4 using algebra tiles. It demonstrates the steps to solve for x by modeling, creating zero pairs, and dividing. In this example, the caption emphasizes the importance of using model tiles to visualize the equation. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations with Algebra Tiles--Example 4 | Math Example: Solving Two-Step Equations with Algebra Tiles--Example 4TopicSolving Equations DescriptionThis example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. This image represents solving 2x - 2 = 4 with algebra tiles, converting subtraction into addition of negatives, and solving for x through zero pairs and division. In this example, the caption emphasizes the importance of using model tiles to visualize the equation. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations with Algebra Tiles--Example 5 | Math Example: Solving Two-Step Equations with Algebra Tiles--Example 5TopicSolving Equations DescriptionThis example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image shows algebra tiles used to solve the equation 2x - 2 = -4. The tiles are manipulated to find the solution x = -1. In this example, the caption emphasizes the importance of using model tiles to visualize the equation. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations with Algebra Tiles--Example 6 | Math Example: Solving Two-Step Equations with Algebra Tiles--Example 6TopicSolving Equations DescriptionThis example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image shows algebra tiles used to solve the equation 2x - (-2) = -4. The tiles are manipulated to find the solution x = -3. In this example, the process involves modeling tiles on both sides of the equals sign, converting subtraction of a negative into addition, and creating zero pairs to isolate the variable. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations with Algebra Tiles--Example 7 | Math Example: Solving Two-Step Equations with Algebra Tiles--Example 7TopicSolving Equations DescriptionThis example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image shows algebra tiles used to solve the equation -x + 1 = 4. The tiles are manipulated to find the solution x = -3. In this example, the process involves modeling tiles on both sides of the equals sign, creating zero pairs, and replacing each side with corresponding opposite tiles. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations with Algebra Tiles--Example 8 | Math Example: Solving Two-Step Equations with Algebra Tiles--Example 8TopicSolving Equations DescriptionThis example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image shows algebra tiles used to solve the equation -x - 1 = 4. The tiles are manipulated to find the solution x = -5. In this example, the process involves modeling tiles on both sides of the equals sign, converting subtraction into addition of a negative, creating zero pairs, and replacing each side with corresponding opposite tiles. |
Solving Two-Step Equations |
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Math Example: Solving Two-Step Equations with Algebra Tiles--Example 9 | Math Example: Solving Two-Step Equations with Algebra Tiles--Example 9TopicSolving Equations DescriptionThis example effectively demonstrates solving a two-step equation using algebra tiles, where the visual model helps students understand how to manipulate the equation. The image shows a visual representation of solving the equation -2x + 1 = 5 using algebra tiles. The tiles are arranged to show steps: modeling both sides, creating zero pairs, and replacing with opposite tiles to solve for x = -2. This process illustrates the importance of maintaining balance in equations. |
Solving Two-Step Equations |
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MATH EXAMPLES--Teacher's Guide: Solving Equations with Fractions | MATH EXAMPLES--Teacher's Guide: Solving Equations with Fractions
This Teacher's Guide provides an overview of the 13 worked-out examples that solve a variety of one-variable equations with fractions. This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Solving Fraction Equations |
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MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents | MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents
What Are Percents?Percents Are a Type of Fraction |
Solving Percent Equations |
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MATH EXAMPLES--Teacher's Guide: Solving One-Variable Equations | MATH EXAMPLES--Teacher's Guide: Solving One-Variable Equations
This Teacher's Guide provides an overview of the 27 worked-out examples that solve a variety of one-variable equations. This is part of a collection of teacher's guides. To see the complete collection of teacher's guides, click on this link. Note: The download is a PDF file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Equations and Inequalities |
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MATH EXAMPLES--The Discriminant | MATH EXAMPLES--The Discriminant
This set of tutorials provides 10 examples of finding the determinant of a quadratic equation to determine the number of real roots. NOTE: The download is a PPT file. |
Quadratic Equations and Functions and Quadratic Formula |
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Math in the News: Issue 92--How Netflix Is Changing Media | Math in the News: Issue 92--How Netflix Is Changing Media
February 2014. In this issue of Math in the News we look at the dramatic growth in subscribers for Netflix. We calculate the rate of growth. We also explore how companies like Netflix are changing the viewing habits of all Americans. This is part of the Math in the News collection. To see the complete collection, click on this link. Note: The download is a PPT file.Related ResourcesTo see resources related to this topic click on the Related Resources tab above. |
Applications of Exponential and Logarithmic Functions |
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VIDEO: Overview of Variables and Equations | VIDEO: Overview of Variables and Equations
What Is a Variable?A variable is a symbol, usually a letter, that can stand for different things. |
Variable Expressions, Applications of Equations and Inequalities and Variables and Unknowns |
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Paper-and-Pencil Quiz: Equations with Fractions (Easy) | Paper-and-Pencil Quiz: Equations with Fractions (Easy)
This is part of a collection of math quizzes on the topic of Equations with Fractions. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Fraction Equations |
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Paper-and-Pencil Quiz: Equations with Fractions (Hard) | Paper-and-Pencil Quiz: Equations with Fractions (Hard)
This is part of a collection of math quizzes on the topic of Equations with Fractions. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Fraction Equations |
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Paper-and-Pencil Quiz: Equations with Fractions (Medium) | Paper-and-Pencil Quiz: Equations with Fractions (Medium)
This is part of a collection of math quizzes on the topic of Equations with Fractions. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Fraction Equations |
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Paper-and-Pencil Quiz: Equations with Percents (Easy) | Paper-and-Pencil Quiz: Equations with Percents (Easy)
This is part of a collection of math quizzes on the topic of Equations with Percents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Percent Equations |
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Paper-and-Pencil Quiz: Equations with Percents (Hard) | Paper-and-Pencil Quiz: Equations with Percents (Hard)
This is part of a collection of math quizzes on the topic of Equations with Percents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Percent Equations |
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Paper-and-Pencil Quiz: Equations with Percents (Medium) | Paper-and-Pencil Quiz: Equations with Percents (Medium)
This is part of a collection of math quizzes on the topic of Equations with Percents. To see the complete quiz collection on this topic, click on this link. Note: The download is the PDF version of the quiz (with answer key).Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Quiz LibraryTo see the complete collection of Quizzes, click on this link.ary">click on this link. |
Solving Percent Equations |
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Video Definition 1--Equation Concepts--"Not Equal To" Sign | Video Definition 1--Equation Concepts--"Not Equal To" Sign
This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video. |
Numerical and Algebraic Expressions |
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Video Definition 10--Equation Concepts--Equation | Video Definition 10--Equation Concepts--Equation
This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video. |
Applications of Equations and Inequalities |
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Video Definition 11--Equation Concepts--Equations in One Variable | Video Definition 11--Equation Concepts--Equations in One Variable
This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video. |
Applications of Equations and Inequalities |
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Video Definition 12--Equation Concepts--Equations in Two Variables | Video Definition 12--Equation Concepts--Equations in Two Variables
This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video. |
Applications of Equations and Inequalities |
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Video Definition 13--Equation Concepts--Equivalent Equations | Video Definition 13--Equation Concepts--Equivalent Equations
This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video. |
Applications of Equations and Inequalities |
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Video Definition 14--Equation Concepts--False Equation | Video Definition 14--Equation Concepts--False Equation
This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video. |
Applications of Equations and Inequalities |
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Video Definition 15--Equation Concepts--Identity Equation | Video Definition 15--Equation Concepts--Identity Equation
This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video. |
Applications of Equations and Inequalities |
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Video Definition 16--Equation Concepts--Inequation | Video Definition 16--Equation Concepts--Inequation
This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video. |
Inequalities |
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Video Definition 17--Equation Concepts--Isolating the Variable | Video Definition 17--Equation Concepts--Isolating the Variable
This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video. |
Variables and Unknowns |
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Video Definition 18--Equation Concepts--Left Side of the Equation | Video Definition 18--Equation Concepts--Left Side of the Equation
This is part of a collection of math video definitions related to to the topic of equation concepts. Note: The download is an MP4 video. |
Applications of Equations and Inequalities |
