6.AT.C: Reason about and solve one-variable equations and inequalities

Reason about and solve one-variable equations and inequalities

6.AT.C.8Solve problems in context by writing and solving equations and interpreting the solutions in context. a. Explain that a variable can represent an unknown number and use substitution to determine whether a given number makes an equation true. b. Write and solve one-step equations of the form x + p = q, x − p = q, px = q and x/p = q for cases in which p, q and x are all nonnegative rational numbers. c. Represent solutions of such equations on a number line.6.AT.C.9Write an inequality of the form 𝑥 > 𝑐 (using ≥, >, ≤, <) to represent a constraint or condition in context. Recognize that inequalities of this form have infinitely many solutions; represent solutions of such inequalities on number lines.6.AT.C.10Solve problems in context by writing and solving inequalities and interpreting solution sets in context. a. Explain that a variable can represent an unknown number in a set and use substitution to determine whether a given number in a set makes an inequality true. b. Write and solve one-step inequalities of the form x + p > q, x − p > q, px > q and x/p > q (using ≥, >, ≤, <) where p and q are nonnegative rational numbers. c. Represent solutions of such inequalities on a number line.

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