- Create equations and inequalities in one variable and use them to solve problems.
- Create equations in two or more variables to represent relationships
between quantities; graph equations on coordinate axes with labels and
- Represent constraints by equations or inequalities, and by systems of
equations and/or inequalities, and interpret solutions as viable or
nonviable options in a modeling context.
- Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.
- Apply properties of operations as strategies to add, subtract, factor,
and expand linear expressions with rational coefficients.
- Understand that rewriting an expression in different forms in a problem
context can shed light on the problem and how the quantities in it are
- Solve multi-step real-life and mathematical problems posed with
positive and negative rational numbers in any form (whole numbers,
fractions, and decimals), using tools strategically. Apply properties of
operations to calculate with numbers in any form; convert between forms
as appropriate; and assess the reasonableness of answers using mental
computation and estimation strategies.
- 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.