**North Carolina Standard Course of Study**. A function is a rule that is performed on a number, called an input, to produce a result called an output. The rule consists of one or more mathematical operations that are performed on the input. An example of a function is y = 2x + 3, where x is the input and y is the output. The operations of multiplication and addition are performed on the input, x, to produce the output, y. By substituting a number for x, an output can be determined. Read More...

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NC.7.RP. Ratio and Proportional Relationships

Analyze proportional relationships and use them to solve real-world and mathematical problems.

NC.7.RP.2. Recognize and represent proportional relationships between quantities.

NC.7.RP.2.b. Identify the unit rate (constant of proportionality) within two quantities in a proportional relationship using tables, graphs, equations, and verbal descriptions.

NC.7.RP.2.c. Create equations and graphs to represent proportional relationships.

NC.7.EE. Expressions and Equations

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.

NC.7.EE.4.a. Construct equations to solve problems by reasoning about the quantities.

NC.7.EE.4.a.2. Compare an algebraic solution to an arithmetic solution, identifying the sequence of the operations used in each approach.

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