**South Carolina Education Standards & Learning**. 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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Study GuideUsing Integers

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Worksheet/Answer keyUsing Integers

SC.7.NS. The Number System

7.NS.1. Extend prior knowledge of operations with positive rational numbers to add and to subtract all rational numbers and represent the sum or difference on a number line.

7.NS.1e. Apply mathematical properties (e.g., commutative, associative, distributive, or the properties of identity and inverse elements) to add and subtract rational numbers.

7.NS.2. Extend prior knowledge of operations with positive rational numbers to multiply and to divide all rational numbers.

7.NS.2b. Understand sign rules for multiplying rational numbers.

7.NS.2c. Understand sign rules for dividing rational numbers and that a quotient of integers (with a non-zero divisor) is a rational number.

7.NS.2d. Apply mathematical properties (e.g., commutative, associative, distributive, or the properties of identity and inverse elements) to multiply and divide rational numbers.

7.NS.2e. Understand that some rational numbers can be written as integers and all rational numbers can be written as fractions or decimal numbers that terminate or repeat.

SC.7.EEI. Expressions, Equations, and Inequalities

7.EEI.4. Apply the concepts of linear equations and inequalities in one variable to real-world and mathematical situations.

7.EEI.4a. Write and fluently solve linear equations of the form ax+b=c and a(x+b)=c where a, b, and c are rational numbers.

7.EEI.4b. Write and solve multi-step linear equations that include the use of the distributive property and combining like terms. Exclude equations that contain variables on both sides.

7.EEI.4c. Write and solve two-step linear inequalities. Graph the solution set on a number line and interpret its meaning.

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