### Expressions and Equations

Use properties of operations to generate equivalent expressions.
NC.7.EE.1 Apply properties of operations as strategies to:
• Add, subtract, and expand linear expressions with rational coefficients.
• Factor linear expression with an integer GCF.

Use properties of operations to generate equivalent expressions.
NC.7.EE.2 Understand that equivalent expressions can reveal real-world and mathematical relationships. Interpret the meaning of the parts of each expression in context.

Solve real-world and mathematical problems using numerical and algebraic expressions, equations, and inequalities.
NC.7.EE.3 Solve multi-step real-world and mathematical problems posed with rational numbers in algebraic expressions.
• Apply properties of operations to calculate with positive and negative numbers in any form.
• Convert between different forms of a number and equivalent forms of the expression as appropriate.

Solve real-world and mathematical problems using numerical and algebraic expressions, equations, and inequalities.
NC.7.EE.4 Use variables to represent quantities to solve real-world or mathematical problems.
Construct equations to solve problems by reasoning about the quantities.
Fluently solve multistep equations with the variable on one side, including those generated by word problems.
Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.
Interpret the solution in context.
Construct inequalities to solve problems by reasoning about the quantities.
Fluently solve multi-step inequalities with the variable on one side, including those generated by word problems.
Compare an algebraic solution process for equations and an algebraic solution process for inequalities.
Graph the solution set of the inequality and interpret in context.