**Maryland College and Career-Ready 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

MD.MA.8.EE. Expressions and Equations (EE)

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

8.EE.7. Solve linear equations in one variable.

8.EE.7b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.

8.EE.7b.1. See the skills and knowledge that are stated in the Standard.

MD.MA.AI. Algebra I

Unit 1: Relationships between Quantities and Reasoning with Equations

HSA-SSE.A. Interpret the structure of expressions.

A.SSE.1a. Interpret expressions that represent a quantity in terms of its context – Interpret parts of an expression, such as terms, factors, and coefficients.

A.SSE.1a.1. Ability to make connections between symbolic representations and proper mathematics vocabulary.

A.SSE.1b. Interpret expressions that represent a quantity in terms of its context – Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)^n as the product of P and a factor not depending on P.

A.SSE.1b.1. Ability to interpret and apply rules for order of operations.

HSA-CED.A. Create equations that describe numbers or relationships.

A.CED.4. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.

A.CED.4.1. Ability to recognize/create equivalent forms of literal equations.

HSA-REI.B. Solve equations and inequalities in one variable.

A.REI.3. Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

A.REI.3.1. Ability to analyze the structure of an equation to determine the sequence of steps that need to be applied to arrive at a solution.

A.REI.3.2. Ability to accurately perform the steps needed to solve a linear equation/inequality.

Unit 4: Expressions and Equations

HSA-CED.A. Create equations that describe numbers or relationships.

A.CED.4. Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.

A.CED.4.2. Ability to recognize and create different forms of literal equations.

HSA-REI.B. Solve equations and inequalities in one variable.

A.REI.4a. Solve quadratic equations in one variable – Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x–p)^2 = q that has the same solutions. Derive the quadratic formula from this form.

A.REI.4a.1. Ability to solve literal equations for a variable of interest.

Standards