Create, solve, and interpret one-variable equations or inequalities in real-world and mathematical problems.

### Lessons for this standard

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### Related standards

- This standard is part of: M06.B-E.2

#### More specific sub-standards

Use substitution to determine whether a given number in a specified set makes an equation or inequality true.

Write algebraic expressions to represent real-world or mathematical problems.

Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all non-negative rational numbers.

Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem and/or represent solutions of such inequalities on number lines.

#### Similar standards in other grades

Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers, and graph the solution set of the inequality.

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

Write and identify 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),

Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers.

Determine the reasonableness of the answer(s) in problem-solving situations.