Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Assessed with:
MAFS.912.ACED.1.1
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Assessments
Educational Games
Formative Assessments
Lesson Plans
Lesson Study Resource Kit
Original Student Tutorial
Tutorials
Unit/Lesson Sequence
Video/Audio/Animation
Virtual Manipulative
Worksheet
MFAS Formative Assessments
Students are asked to solve a linear equation in one variable with fractional coefficients.
Students are given a literal linear equation and asked to solve for a specific variable.
Original Student Tutorials Mathematics  Grades 912
Learn how to solve and graph one variable inequalities, including compound inequalities, in this interactive tutorial!
Student Resources
Original Student Tutorial
Learn how to solve and graph one variable inequalities, including compound inequalities, in this interactive tutorial!
Type: Original Student Tutorial
Educational Games
In this challenge game, you will be solving inequalities and working with graphs of inequalities. Use the "Teach Me" button to review content before the challenge. During the challenge you get one free solve and two hints! After the challenge, review the problems as needed. Try again to get all challenge questions right! Question sets vary with each game, so feel free to play the game multiple times as needed! Good luck!
Type: Educational Game
In this timed activity, students solve linear equations (one and twostep) or quadratic equations of varying difficulty depending on the initial conditions they select. This activity allows students to practice solving equations while the activity records their score, so they can track their progress. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet.
Type: Educational Game
In this activity, two students play a simulated game of Connect Four, but in order to place a piece on the board, they must correctly solve an algebraic equation. This activity allows students to practice solving equations of varying difficulty: onestep, twostep, or quadratic equations and using the distributive property if desired. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the Java applet.
Type: Educational Game
Tutorials
Many real world problems involve involve percentages. This lecture shows how algebra is used in solving problems of percent change and profitandloss.
Type: Tutorial
This video discusses multiplication and division of inequalities with negative numbers to solve the inequality.
Type: Tutorial
This lecture shows how algebra is used to solve problems involving mixtures of solutions of different concentrations.
Type: Tutorial
This lesson introduces students to linear equations in one variable, shows how to solve them using addition, subtraction, multiplication, and division properties of equalities, and allows students to determine if a value is a solution, if there are infinitely many solutions, or no solution at all. The site contains an explanation of equations and linear equations, how to solve equations in general, and a strategy for solving linear equations. The lesson also explains contradiction (an equation with no solution) and identity (an equation with infinite solutions). There are five practice problems at the end for students to test their knowledge with links to answers and explanations of how those answers were found. Additional resources are also referenced.
Type: Tutorial
Upon completing this lesson, the student should be able to use the addition, subtraction, multiplication, and division properties of equality to solve linear inequalities, write the answer to an inequality using interval notation and draw a graph to give a visual answer to an inequality problem.
The lesson begins with explanations of inequality signs and interval notation and then moves on to demonstrate addition/subtraction and multiplication/division properties of equality. The site demonstrates a strategy for solving linear inequalities and presents three problems for students to practice what they have learned.
There is also a link to a previous tutorial which covers solving linear equations of one variable for students who need the review.
Type: Tutorial
Video/Audio/Animation
Mixture problems can involve mixtures of things other than liquids. This video shows how Algebra can be used to solve problems involving mixtures of different types of items.
Type: Video/Audio/Animation
Virtual Manipulative
This site provides a virtual balance on which the student can represent (and then solve) simple linear equations with integer answers. Conceptually, positive weights (unitblocks and xboxes) push the pans of the scale downward. Negative values are represented by balloons which can be attached to the pans of the scale. The student can then manipulate the weights to solve the equation while simultaneously seeing a visual display of these effects on the equation.
Type: Virtual Manipulative
Parent Resources
Tutorial
This video discusses multiplication and division of inequalities with negative numbers to solve the inequality.
Type: Tutorial
Virtual Manipulative
This site provides a virtual balance on which the student can represent (and then solve) simple linear equations with integer answers. Conceptually, positive weights (unitblocks and xboxes) push the pans of the scale downward. Negative values are represented by balloons which can be attached to the pans of the scale. The student can then manipulate the weights to solve the equation while simultaneously seeing a visual display of these effects on the equation.
Type: Virtual Manipulative