Differentiate additive relationships (y = x + a) from multiplicative relationships (y = ax) across verbal, numerical, graphical, and symbolic representations.

Write, evaluate, and simplify algebraic expressions using variables, rational number values, and properties of operations to generate equivalent forms.

Apply one-step equations and inequalities to geometric contexts and real-world scenarios, verify solutions, and solve multi-step problems involving rational numbers.

Use equivalent fractions, decimals, and percents to solve real-world money problems, including finding a percent of a number, finding the whole given a part, and calculating discounts, tax, and tips.

Apply rational number operations and fraction comparisons to solve real-world and multi-step problems with precise justification.