**West Virginia College and Career Readiness Education Standards**. Algebraic equations are mathematical equations that contain a letter or variable which represents a number. To solve an algebraic equation, inverse operations are used. Algebraic inequalities are mathematical equations that compare two quantities using greater than, >; greater than or equal to, ≥; less than, <; and less than or equal to, ≤. When multiplying or dividing by a negative number occurs, the inequality sign is reversed from the original inequality sign in order for the inequality to be correct. Read More...

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Study GuideSolving equations and inequalitiesWorksheet/Answer key

Solving equations and inequalitiesWorksheet/Answer key

Solving equations and inequalitiesWorksheet/Answer key

Solving equations and inequalities

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.1HS8.8. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. (e.g., Rearrange Ohm’s law V = IR to highlight resistance R.)

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.A18.8. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. (e.g., Rearrange Ohm’s law V = IR to highlight resistance R.)

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.

Expressions and Equations

Create equations that describe numbers or relationships.

M.A18.57. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. (e.g., Rearrange Ohm’s law V = IR to highlight resistance R.)

Standards