Expressions and Equations

### Lessons for this standard

Resources cannot be aligned to this standard, browse sub-standards to find lessons.

### Related standards

- This standard is part of: 6.EE
- This standard is derived from: CCSS.Math.Content.6.EE.B

#### More specific sub-standards

Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

Solve real-world and mathematical problems by writing and solving equations of the form πΉ + π± = π² and π±πΉ = π² for cases in which π±, π² and πΉ are all nonnegative rational numbers.

Write an inequality of the form πΉ > π€ or πΉ < π€ to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form πΉ > π€ or πΉ < π€ have infinitely many solutions; represent solutions of such inequalities on number line diagrams.

#### Similar standards in other grades

Solve word problems leading to inequalities of the form π±πΉ + π² > π³ or π±πΉ + π² < π³, where π±, π², and π³ are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.

Solve linear equations in one variable.

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 πΉ = π’, π’ = π’, or π’ = π£ results (where π’ and π£ are different numbers).

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

Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.

#### Similar standards elsewhere

Reason about and solve one-variable equations and inequalities.

Reason about and solve one-variable equations and inequalities.

Reason about and solve one-variable equations and inequalities.

Reason about and solve one-variable equations and inequalities.