Illustrative Math-Media4Math Alignment

 

 

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.

Thumbnail Image Title Body Curriculum Nodes
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 2 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 2

Topic

Solving Equations

Description

An 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
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 3 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 3

Topic

Solving Equations

Description

An 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
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 4 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 4

Topic

Solving Equations

Description

An 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
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 5 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 5

Topic

Solving Equations

Description

An 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
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 6 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 6

Topic

Solving Equations

Description

An 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
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 7 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 7

Topic

Solving Equations

Description

An 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
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 8 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 8

Topic

Solving Equations

Description

An 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
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 9 Math Example: Solving Two-Step Equations of the Form x/a + b = c--Example 9

Topic

Solving Equations

Description

An 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
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 1 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 1

Topic

Solving Equations

Description

An 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
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 10 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 10

Topic

Solving Equations

Description

An 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
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 2 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 2

Topic

Solving Equations

Description

An 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
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 3 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 3

Topic

Solving Equations

Description

An 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
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 4 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 4

Topic

Solving Equations

Description

An 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
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 5 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 5

Topic

Solving Equations

Description

An 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
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 6 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 6

Topic

Solving Equations

Description

An 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
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 7 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 7

Topic

Solving Equations

Description

An 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
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 8 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 8

Topic

Solving Equations

Description

An 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
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 9 Math Example: Solving Two-Step Equations of the Form x/a - b = c--Example 9

Topic

Solving Equations

Description

An 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
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 1 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 1 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 1

Topic

Solving Equations

Description

This 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
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 10 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 10 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 10

Topic

Solving Equations

Description

This 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
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 2 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 2 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 2

Topic

Solving Equations

Description

This 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
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 3 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 3 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 3

Topic

Solving Equations

Description

This 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
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 4 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 4 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 4

Topic

Solving Equations

Description

This 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
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 5 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 5 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 5

Topic

Solving Equations

Description

This 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
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 6 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 6 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 6

Topic

Solving Equations

Description

This 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
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 7 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 7 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 7

Topic

Solving Equations

Description

This 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
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 8 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 8 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 8

Topic

Solving Equations

Description

This 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
Math Example: Solving Two-Step Equations with Algebra Tiles--Example 9 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 9 Math Example: Solving Two-Step Equations with Algebra Tiles--Example 9

Topic

Solving Equations

Description

This 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
MATH EXAMPLES--Teacher's Guide: Solving Equations with Fractions 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 Resources

To see resources related to this topic click on the Related Resources tab above.

Solving Fraction Equations
MATH EXAMPLES--Teacher's Guide: Solving Equations with Percents 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
MATH EXAMPLES--Teacher's Guide: Solving One-Variable Equations 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 Resources

To see resources related to this topic click on the Related Resources tab above.

Applications of Equations and Inequalities
MATH EXAMPLES--The Discriminant 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
Math in the News: Issue 92--How Netflix Is Changing Media 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 Resources

To see resources related to this topic click on the Related Resources tab above.

Applications of Exponential and Logarithmic Functions
VIDEO: Overview of Variables and Equations 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
Paper-and-Pencil Quiz: Equations with Fractions (Easy) 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 Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Solving Fraction Equations
Paper-and-Pencil Quiz: Equations with Fractions (Hard) 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 Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Solving Fraction Equations
Paper-and-Pencil Quiz: Equations with Fractions (Medium) 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 Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Solving Fraction Equations
Paper-and-Pencil Quiz: Equations with Percents (Easy) 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 Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Solving Percent Equations
Paper-and-Pencil Quiz: Equations with Percents (Hard) 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 Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Solving Percent Equations
Paper-and-Pencil Quiz: Equations with Percents (Medium) 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 Resources

To see additional resources on this topic, click on the Related Resources tab.

Quiz Library

To see the complete collection of Quizzes, click on this link.

ary">click on this link.

Solving Percent Equations
Video Definition 1--Equation Concepts--"Not Equal To" Sign Video Definition 1--Equation Concepts--"Not Equal To" Sign Video Definition 1--Equation Concepts--"Not Equal To" Sign

Topic

Equations

Description

The Not Equal To Sign (≠) indicates two expressions are not equal, forming an inequation. For example, 2 + 1 ≠ 4 and x + 3 ≠ x are inequations. This term builds on equality concepts by introducing inequalities, critical for exploring a broader range of mathematical statements.

Numerical and Algebraic Expressions
Video Definition 10--Equation Concepts--Equation Video Definition 10--Equation Concepts--Equation Video Definition 10--Equation Concepts--Equation

Topic

Equations

Description

An Equation is a mathematical statement that says two expressions are equal to each other. Equations can be true or false, as shown in examples like 1 + 1 = 2 (true) and 1 + 2 = 4 (false). This term introduces the concept of equality and sets the foundation for understanding other types of equations.

Applications of Equations and Inequalities
Video Definition 11--Equation Concepts--Equations in One Variable Video Definition 11--Equation Concepts--Equations in One Variable Video Definition 11--Equation Concepts--Equations in One Variable

Topic

Equations

Description

An Equation in One Variable has an unknown represented by a single variable. Examples include 2 + 3x = 5 and (x + 2)^2 = 25. This term focuses on single-variable equations, forming a basis for solving and understanding algebraic structures.

Applications of Equations and Inequalities
Video Definition 12--Equation Concepts--Equations in Two Variables Video Definition 12--Equation Concepts--Equations in Two Variables Video Definition 12--Equation Concepts--Equations in Two Variables

Topic

Equations

Description

Equations in Two Variables. A two-variable equation shows a relationship between two variables. Examples include y = 3x + 5, x2 + y2 = 25, and xy = 5, highlighting equations that can be graphed in a coordinate system. This builds on the idea of variables in equations and introduces the concept of relationships between variables, applicable in graphing and real-world modeling.

Applications of Equations and Inequalities
Video Definition 13--Equation Concepts--Equivalent Equations Video Definition 13--Equation Concepts--Equivalent Equations Video Definition 13--Equation Concepts--Equivalent Equations

Topic

Equations

Description

Equivalent Equations result from changing an equation while maintaining equality, often by performing the same operation on both sides. For example, x - 3 = 5 becomes x = 8 after adding 3 to both sides. This term demonstrates how equations can be manipulated without altering their solution, a key concept in solving equations.

Applications of Equations and Inequalities
Video Definition 14--Equation Concepts--False Equation Video Definition 14--Equation Concepts--False Equation Video Definition 14--Equation Concepts--False Equation

Topic

Equations

Description

A False Equation is mathematically inaccurate. For example, 2 + 1 = 4 is false, and x + 3 = x has no solution, as no value of x satisfies the equation. This term contrasts true equations and emphasizes the need to verify solutions, highlighting logical consistency in mathematics.

Applications of Equations and Inequalities
Video Definition 15--Equation Concepts--Identity Equation Video Definition 15--Equation Concepts--Identity Equation Video Definition 15--Equation Concepts--Identity Equation

Topic

Equations

Description

An Identity Equation is always true for all variable values. Examples include x = x and (x + 1)2 = x2 + 2x + 1. Identity equations often use the symbol ≡ to indicate their universal truth. This term introduces a special class of equations, linking algebraic manipulation and properties of equivalence.

Applications of Equations and Inequalities
Video Definition 16--Equation Concepts--Inequation Video Definition 16--Equation Concepts--Inequation Video Definition 16--Equation Concepts--Inequation

Topic

Equations

Description

An Inequation is a mathematical statement that shows two expressions are not equal, as in 2 + 1 ≠ 4 or x + 3 ≥ 0, which includes inequalities. This term broadens the discussion to include inequalities, expanding the types of relationships between expressions.

Inequalities
Video Definition 17--Equation Concepts--Isolating the Variable Video Definition 17--Equation Concepts--Isolating the Variable Video Definition 17--Equation Concepts--Isolating the Variable

Topic

Equations

Description

Isolating the Variable refers to the process of solving an equation by focusing on and isolating the variable of interest. For example, x + 3 = 5 becomes x = 2 by subtracting 3 from both sides. This term highlights a key step in solving equations, emphasizing strategies for simplifying equations to find solutions.

Variables and Unknowns
Video Definition 18--Equation Concepts--Left Side of the Equation Video Definition 18--Equation Concepts--Left Side of the Equation Video Definition 18--Equation Concepts--Left Side of the Equation

Topic

Equations

Description

The Left Side of the Equation is the expression on the left of the equals sign. For example, in 2x + 3 = x - 5, the left side is 2x + 3. This term provides clarity in identifying components of equations, aiding in understanding structure and solving strategies.

Applications of Equations and Inequalities