**North Carolina Standard Course of Study**. Integers are negative numbers, zero and positive numbers. To compare integers, a number line can be used. On a number line, negative integers are on the left side of zero with the larger a negative number, the farther to the left it is. Positive
integers are on the right side of zero on the number line. If a number is to the left of another number it is said to be less than that number. In the coordinate plane, the x-axis is a horizontal line with negative numbers, zero and positive numbers. Read More...

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NC.7.NS. The Number System

Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

NC.7.NS.1. Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers, using the properties of operations, and describing real-world contexts using sums and differences.

NC.7.NS.2. Apply and extend previous understandings of multiplication and division.

NC.7.NS.2.a. Understand that a rational number is any number that can be written as a quotient of integers with a non-zero divisor.

NC.7.NS.2.b. Apply properties of operations as strategies, including the standard algorithms, to multiply and divide rational numbers and describe the product and quotient in real-world contexts.

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.1. Fluently solve multistep equations with the variable on one side, including those generated by word problems.

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

NC.7.EE.4.b. Construct inequalities to solve problems by reasoning about the quantities.

NC.7.EE.4.b.2. Compare an algebraic solution process for equations and an algebraic solution process for inequalities.

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