Illustrative Math-Media4Math Alignment

 

 

Illustrative Math Alignment: Grade 8 Unit 3

Linear Equations and Linear Systems

Lesson 10: On or Off the Line?

Use the following Media4Math resources with this Illustrative Math lesson.

Thumbnail Image Title Body Curriculum Topic
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 4 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 4 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 4

Topic

Systems of Equations

Description

The system y = 2x - 9 and y = -x + 3 is solved via elimination. Doubling the second equation yields 2y = -2x + 6. Adding removes x, leaving 3y = -3 or y = -1. Substituting y = -1 into y = 2x - 9 solves x = 4. The solution is (4, -1). 

Linear systems of equations are fundamental in algebra, providing a means to analyze and predict relationships between variables. By exploring worked-out examples, students gain confidence and clarity in solving these systems.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 5 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 5 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 5

Topic

Systems of Equations

Description

This example solves y = 9x + 2 and y = 3x + 2 through elimination. The second equation is multiplied by -3, giving -3y = -9x - 6. Adding eliminates x, yielding -2y = -4 or y = 2. Substituting y = 2 into y = 9x + 2 finds x = 0. The solution is (0, 2). 

Linear systems of equations are fundamental in algebra, providing a means to analyze and predict relationships between variables. By exploring worked-out examples, students gain confidence and clarity in solving these systems.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 6 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 6 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 6

Topic

Systems of Equations

Description

This example uses elimination for y = -x - 5 and y = 5x + 7. Multiplying the first equation by 5 produces 5y = -5x - 25. Adding eliminates x, resulting in 6y = -18 or y = -3. Substituting y = -3 into y = -x - 5 finds x = -2. The intersection is (-2, -3). 

Linear systems of equations are fundamental in algebra, providing a means to analyze and predict relationships between variables. By exploring worked-out examples, students gain confidence and clarity in solving these systems.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 7 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 7 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 7

Topic

Systems of Equations

Description

This image explains solving y = -x + 9 and y = -2x + 2. Multiplying the first equation by -2 gives -2y = 2x - 18. Adding cancels x, leaving -y = -16 or y = 16. Substituting y = 16 into y = -x + 9 solves x = -7. The intersection is (-7, 16). 

Linear systems of equations are fundamental in algebra, providing a means to analyze and predict relationships between variables. By exploring worked-out examples, students gain confidence and clarity in solving these systems.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 8 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 8 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 8

Topic

Systems of Equations

Description

The system y = -6x + 4 and y = -12x - 8 is solved via elimination. Doubling the first equation gives -2y = 12x - 8. Adding eliminates x, resulting in -y = -16 or y = 16. Substituting y = 16 into y = -6x + 4 finds x = -2. The solution is (-2, 16). 

Linear systems of equations are fundamental in algebra, providing a means to analyze and predict relationships between variables. By exploring worked-out examples, students gain confidence and clarity in solving these systems.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 9 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 9 Math Example--Systems of Equations--Solving Linear Systems by Elimination: Example 9

Topic

Systems of Equations

Description

This example solves y = x - 4 and y = 3x + 10 through elimination. Multiplying the first equation by -3 gives -3y = -3x + 12. Adding eliminates x, yielding -2y = 22 or y = -11. Substituting y = -11 into y = x - 4 solves x = -7. The intersection point is (-7, -11). 

Linear systems of equations are fundamental in algebra, providing a means to analyze and predict relationships between variables. By exploring worked-out examples, students gain confidence and clarity in solving these systems.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 1 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 1 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 1

Topic

Systems of Equations

Description

This example solves the system of equations using graphing: This image solves y = 8x + 10 and y = 4x + 6 graphically. The two linear equations are plotted, and their intersection is visually identified as (-1, 2). The graphical method visually demonstrates the solution by plotting the equations on the coordinate plane.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 10 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 10 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 10

Topic

Systems of Equations

Description

This example solves the system of equations using graphing: This example graphically solves y = -4x - 3 and y = -8x - 1. The lines intersect at (0.5, -5), which is marked on the graph. Systems of equations involve finding the point of intersection of two or more equations. The graphical method visually demonstrates the solution by plotting the equations on the coordinate plane.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 2 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 2 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 2

Topic

Systems of Equations

Description

This example solves the system of equations using graphing: This image demonstrates solving y = 6x + 7 and y = 8x + 7 by graphing. The point of intersection, clearly marked on the graph, is (0, 7). Systems of equations involve finding the point of intersection of two or more equations. The graphical method visually demonstrates the solution by plotting the equations on the coordinate plane.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 3 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 3 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 3

Topic

Systems of Equations

Description

This example solves the system of equations using graphing: This example illustrates solving y = 7x + 8 and y = 2x - 7 graphically. The intersection point is identified as (-3, -13) by observing where the lines cross. Systems of equations involve finding the point of intersection of two or more equations. The graphical method visually demonstrates the solution by plotting the equations on the coordinate plane.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 4 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 4 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 4

Topic

Systems of Equations

Description

This example solves the system of equations using graphing: Graphing y = x - 6 and y = 2x + 3 shows their intersection point at (-9, -15). The graph displays both linear equations and highlights the solution. Systems of equations involve finding the point of intersection of two or more equations. The graphical method visually demonstrates the solution by plotting the equations on the coordinate plane.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 5 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 5 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 5

Topic

Systems of Equations

Description

This example solves the system of equations using graphing: This image uses graphing to solve y = -2x - 9 and y = -3x - 6. The intersection point is identified as (3, -15). Systems of equations involve finding the point of intersection of two or more equations. The graphical method visually demonstrates the solution by plotting the equations on the coordinate plane.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 6 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 6 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 6

Topic

Systems of Equations

Description

This example solves the system of equations using graphing: The system y = -4x - 6 and y = 4x + 8 is solved graphically. The lines intersect at (-1.75, 1), as indicated on the graph. Systems of equations involve finding the point of intersection of two or more equations. The graphical method visually demonstrates the solution by plotting the equations on the coordinate plane.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 7 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 7 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 7

Topic

Systems of Equations

Description

This example solves the system of equations using graphing: This example solves y = -6x - 1 and y = 4x - 8 graphically. The intersection point, marked on the graph, is approximately (0.7, -5.2). Systems of equations involve finding the point of intersection of two or more equations. The graphical method visually demonstrates the solution by plotting the equations on the coordinate plane.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 8 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 8 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 8

Topic

Systems of Equations

Description

This example solves the system of equations using graphing: The equations y = -4x + 1 and y = 4x + 4 are graphed to find the intersection at (-0.375, 2.5). The graph highlights where the two lines meet. Systems of equations involve finding the point of intersection of two or more equations. The graphical method visually demonstrates the solution by plotting the equations on the coordinate plane.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 9 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 9 Math Example--Systems of Equations--Solving Linear Systems by Graphing: Example 9

Topic

Systems of Equations

Description

This example solves the system of equations using graphing: Graphing y = -10x - 7 and y = 10x + 1 reveals their intersection point at (-0.4, -3). The graph displays this visually with the crossing of the two lines. Systems of equations involve finding the point of intersection of two or more equations. The graphical method visually demonstrates the solution by plotting the equations on the coordinate plane.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 1 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 1 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 1

Topic

Systems of Equations

Description

This example demonstrates solving a system of equations: a system of linear equations using substitution. The equations y = -6x + 1 and y = 5x + 1 are solved to find their intersection point. The solution involves finding the point of intersection of the two lines represented by these equations. The graph provides a visual representation, while algebraic techniques validate the intersection point. This dual approach helps in understanding the relationships described by the equations.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 10 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 10 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 10

Topic

Systems of Equations

Description

This example demonstrates solving a system of equations: This example solves y = 7x - 10 and y = 5x - 5. The solution involves finding the point of intersection of the two lines represented by these equations. The graph provides a visual representation, while algebraic techniques validate the intersection point. This dual approach helps in understanding the relationships described by the equations.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 2 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 2 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 2

Topic

Systems of Equations

Description

This example demonstrates solving a system of equations: the system of equations y = -x + 3 and y = -3x + 5. The solution involves finding the point of intersection of the two lines represented by these equations. The graph provides a visual representation, while algebraic techniques validate the intersection point. This dual approach helps in understanding the relationships described by the equations.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 3 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 3 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 3

Topic

Systems of Equations

Description

This example demonstrates solving a system of equations: y = 2x + 6 and y = 3x - 2 using substitution. The solution involves finding the point of intersection of the two lines represented by these equations. The graph provides a visual representation, while algebraic techniques validate the intersection point. This dual approach helps in understanding the relationships described by the equations.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 4 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 4 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 4

Topic

Systems of Equations

Description

This example demonstrates solving a system of equations: the equations y = 2x + 9 and y = -3x - 1. The solution involves finding the point of intersection of the two lines represented by these equations. The graph provides a visual representation, while algebraic techniques validate the intersection point. This dual approach helps in understanding the relationships described by the equations.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 5 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 5 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 5

Topic

Systems of Equations

Description

This example demonstrates solving a system of equations: y = -3x + 4 and y = -9x - 8. The solution involves finding the point of intersection of the two lines represented by these equations. The graph provides a visual representation, while algebraic techniques validate the intersection point. This dual approach helps in understanding the relationships described by the equations.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 6 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 6 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 6

Topic

Systems of Equations

Description

This example demonstrates solving a system of equations: This example solves y = -9x + 5 and y = -8x + 6. The solution involves finding the point of intersection of the two lines represented by these equations. The graph provides a visual representation, while algebraic techniques validate the intersection point. This dual approach helps in understanding the relationships described by the equations.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 7 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 7 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 7

Topic

Systems of Equations

Description

This example demonstrates solving a system of equations: This image solves y = -3x - 9 and y = -2x - 4. The solution involves finding the point of intersection of the two lines represented by these equations. The graph provides a visual representation, while algebraic techniques validate the intersection point. This dual approach helps in understanding the relationships described by the equations.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 8 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 8 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 8

Topic

Systems of Equations

Description

This example demonstrates solving a system of equations: This example calculates the intersection of y = -5x - 9 and y = -6x + 6. The solution involves finding the point of intersection of the two lines represented by these equations. The graph provides a visual representation, while algebraic techniques validate the intersection point. This dual approach helps in understanding the relationships described by the equations.

Solving Systems of Equations
Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 9 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 9 Math Example--Systems of Equations--Solving Linear Systems by Substitution: Example 9

Topic

Systems of Equations

Description

This example demonstrates solving a system of equations: y = -7x + 2 and y = -6x - 10 are solved. The solution involves finding the point of intersection of the two lines represented by these equations. The graph provides a visual representation, while algebraic techniques validate the intersection point. This dual approach helps in understanding the relationships described by the equations.

Solving Systems of Equations
SolvingSystemsUsingMatrices--Example01.png Math Example: Solving Linear Systems by Using Matrices: Example 01 Math Example: Solving Linear Systems by Using Matrices: Example 01

Topic

Systems of Equations

Description

 

This example solves the system x + y = 5 and x - y = 1 using augmented matrices. The matrix is row-reduced to reveal the solution x = 3 and y = 2. This system demonstrates the method for solving a linear system by the two equations. The variables x and y represent solutions that satisfy both equations simultaneously.

Systems of equations are foundational in algebra, offering tools to find points of intersection of lines or solutions to real-world problems involving multiple constraints. These examples provide diverse methods to approach and solve such systems, enriching student comprehension.

Solving Systems of Equations
SolvingSystemsUsingMatrices--Example02.png Math Example: Solving Linear Systems by Using Matrices: Example 02 Math Example: Solving Linear Systems by Using Matrices: Example 02

Topic

Systems of Equations

Description

This example addresses the system 2x + y = 7 and x + y = 4 using row reduction. The solution obtained is x = 1 and y = 3. This system demonstrates the method for solving a linear system by the two equations. The variables x and y represent solutions that satisfy both equations simultaneously.

Systems of equations are foundational in algebra, offering tools to find points of intersection of lines or solutions to real-world problems involving multiple constraints. These examples provide diverse methods to approach and solve such systems, enriching student comprehension.

Solving Systems of Equations
SolvingSystemsUsingMatrices--Example03.png Math Example: Solving Linear Systems by Using Matrices: Example 03 Math Example: Solving Linear Systems by Using Matrices: Example 03

Topic

Systems of Equations

Description

 The system 3x - y = 5 and x + y = 3 is solved using augmented matrices. Row reduction yields the solution x = 2 and y = 1. This system demonstrates the method for solving a linear system by - two equations. The variables x and y represent solutions that satisfy both equations simultaneously.

Systems of equations are foundational in algebra, offering tools to find points of intersection of lines or solutions to real-world problems involving multiple constraints. These examples provide diverse methods to approach and solve such systems, enriching student comprehension.

Solving Systems of Equations
SolvingSystemsUsingMatrices--Example04.png Math Example: Solving Linear Systems by Using Matrices: Example 04 Math Example: Solving Linear Systems by Using Matrices: Example 04

Topic

Systems of Equations

Description

 This matrix example solves x + 2y = 8 and x - y = 2 using row reduction. The solution is x = 4 and y = 2. This system demonstrates the method for solving a linear system by solves two equations. The variables x and y represent solutions that satisfy both equations simultaneously.

Systems of equations are foundational in algebra, offering tools to find points of intersection of lines or solutions to real-world problems involving multiple constraints. These examples provide diverse methods to approach and solve such systems, enriching student comprehension.

Solving Systems of Equations
SolvingSystemsUsingMatrices--Example05.png Math Example: Solving Linear Systems by Using Matrices: Example 05 Math Example: Solving Linear Systems by Using Matrices: Example 05

Topic

Systems of Equations

Description

The system 3x + y = 10 and x - 2y = 1 is solved using row operations on an augmented matrix. The solution is x = 4 and y = 2. This system demonstrates the method for solving a linear system by + two equations. The variables x and y represent solutions that satisfy both equations simultaneously.

Systems of equations are foundational in algebra, offering tools to find points of intersection of lines or solutions to real-world problems involving multiple constraints. These examples provide diverse methods to approach and solve such systems, enriching student comprehension.

Solving Systems of Equations
SolvingSystemsUsingMatrices--Example06.png Math Example: Solving Linear Systems by Using Matrices: Example 06 Math Example: Solving Linear Systems by Using Matrices: Example 06

Topic

Systems of Equations

Description

 This example solves x + 2y = 5 and 3x - y = 1 using the inverse matrix method. The system is converted to matrix form and the inverse matrix is calculated, yielding x = 1 and y = 2. This system demonstrates the method for solving a linear system by x two equations. The variables x and y represent solutions that satisfy both equations simultaneously.

Solving Systems of Equations
SolvingSystemsUsingMatrices--Example07.png Math Example: Solving Linear Systems by Using Matrices: Example 07 Math Example: Solving Linear Systems by Using Matrices: Example 07

Topic

Systems of Equations

Description

 The system 2x + y = 5 and x + y = 3 is solved using the inverse matrix approach. The solution obtained is x = 2 and y = 1. This system demonstrates the method for solving a linear system by + two equations. The variables x and y represent solutions that satisfy both equations simultaneously.

Systems of equations are foundational in algebra, offering tools to find points of intersection of lines or solutions to real-world problems involving multiple constraints. These examples provide diverse methods to approach and solve such systems, enriching student comprehension.

Solving Systems of Equations
SolvingSystemsUsingMatrices--Example08.png Math Example: Solving Linear Systems by Using Matrices: Example 08 Math Example: Solving Linear Systems by Using Matrices: Example 08

Topic

Systems of Equations

Description

 This matrix example solves 4x + 3y = 20 and 3x + 2y = 14 using inverse matrices. The inverse matrix is computed and applied, yielding x = 2 and y = 4. This system demonstrates the method for solving a linear system by solves two equations. The variables x and y represent solutions that satisfy both equations simultaneously.

Systems of equations are foundational in algebra, offering tools to find points of intersection of lines or solutions to real-world problems involving multiple constraints. These examples provide diverse methods to approach and solve such systems, enriching student comprehension.

Solving Systems of Equations
Math in the News: Issue 6--The BP Oil Spill, a Year Later Math in the News: Issue 6--The BP Oil Spill, a Year Later Math in the News: Issue 6--The BP Oil Spill, a Year Later

4/25/11. In this issue we discuss the BP oil spill one year after the spill. In particular we look at how damaging oil spills are to marine life and to oxygen levels in the water.

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.

Data Analysis
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
Promethean Flipchart: Algebra Nspirations: Systems of Equations

Written and hosted by internationally acclaimed math educator Dr. Monica Neagoy, this video introduces students to systems of linear equations in two or three unknowns. To solve these systems, the host illustrates a variety of methods: four involve the TI-Nspire (spreadsheet, graphs and geometry, matrices and nSolve) and two are the classic algebraic methods known as substitution and elimination, also called the linear combinations method. The video ends with a summary of the three possible types of solutions. Concepts explored: equations, linear equations, linear systems Note: The download for this resources is the Promethean Flipchart.

To access the full video [Algebra Nspirations: Solving Systems of Equations]: https://media4math.com/library/algebra-nspirations-solving-systems-equations

Applications of Linear Systems
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 01 Quizlet Flash Cards: Evaluating Quadratic Functions, Set 01 Description

Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 02 Quizlet Flash Cards: Evaluating Quadratic Functions, Set 02 Description

Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 03 Quizlet Flash Cards: Evaluating Quadratic Functions, Set 03 Description

Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 04 Quizlet Flash Cards: Evaluating Quadratic Functions, Set 04 Description

Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 05 Quizlet Flash Cards: Evaluating Quadratic Functions, Set 05 Description

Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 06 Quizlet Flash Cards: Evaluating Quadratic Functions, Set 06 Description

Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Applications of Quadratic Functions
Quizlet Flash Cards: Evaluating Quadratic Functions, Set 07 Quizlet Flash Cards: Evaluating Quadratic Functions, Set 07 Description

Evaluate quadratic functions of the form f(x) = ax^2 + bx + c in this 20-flash card set. The values of a and b are in the range -10 to 10.

Note: The download is the teacher's guide for using Media4Math's Quizlet Flash Cards.

Related Resources

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

Quizlet Library

To see the complete Quizlet Flash Card Library, click on this Link to see the collection.

Applications of Quadratic Functions