**West Virginia College and Career Readiness Education Standards**. When graphed, a linear equation is a straight line. Although the standard equation for a line is y = mx + b, where m is the slope and b is the y-intercept, linear equations often have both of the variables on the same side of the equal sign. Linear equations can be solved for one variable when the other variable is given. Read More...

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Study GuideSolving linear equationsWorksheet/Answer key

Solving linear equationsWorksheet/Answer key

Solving linear equationsWorksheet/Answer key

Solving linear equationsWorksheet/Answer keySolving linear equationsWorksheet/Answer keySolving linear equations

WV.M.8.EE. Expressions and Equations

Analyze and solve linear equations and pairs of simultaneous linear equations.

M.8.9. Solve linear equations in one variable.

M.8.9.a. Give examples of linear equations in one variable with one solution, infinitely many solutions or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

M.8.9.b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

WV.M.1HS8. 8th Grade High School Mathematics I

Relationships between Quantities

Create equations that describe numbers or relationships.

M.1HS8.6. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

M.1HS8.7. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. (e.g., Represent inequalities describing nutritional and cost constraints on combinations of different foods.)

Linear and Exponential Relationships

Build a function that models a relationship between two quantities.

M.1HS8.25. Write a function that describes a relationship between two quantities.

M.1HS8.25.a. Determine an explicit expression, a recursive process or steps for calculation from a context.

Reasoning with Equations

Understand solving equations as a process of reasoning and explain the reasoning.

M.1HS8.32. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

Solve equations and inequalities in one variable.

M.1HS8.33. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

WV.M.A18. High School Algebra I for 8th Grade

Relationships between Quantities and Reasoning with Equations

Create equations that describe numbers or relationships.

M.A18.6. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

M.A18.7. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. (e.g., Represent inequalities describing nutritional and cost constraints on combinations of different foods.)

Understand solving equations as a process of reasoning and explain the reasoning.

M.A18.9. Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

Solve equations and inequalities in one variable.

M.A18.10. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Linear and Exponential Relationships

Build a function that models a relationship between two quantities.

M.A18.32. Write a function that describes a relationship between two quantities.

M.A18.32.a. Determine an explicit expression, a recursive process, or steps for calculation from a context.

Expressions and Equations

Create equations that describe numbers or relationships.

M.A18.56. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

Quadratic Functions and Modeling

Build a function that models a relationship between two quantities.

M.A18.70. Write a function that describes a relationship between two quantities.

M.A18.70.a. Determine an explicit expression, a recursive process, or steps for calculation from a context.

Standards