#### System of linear inequalities

A set of two or more inequalities.

#### System of linear equations

A set of two or more equations.

#### Sum of difference of two cubes

Let $a$ and $b$ be real numbers, variables, or algebraic expressions.

1. \({\rm{ }}{a^3} + {b^3} = \left( {a + b} \right)\left( {{a^2} – ab + {b^2}} \right)\) 2. \({\rm{ }}{a^3} – {b^3} = \left( {a – b} \right)\left( {{a^2} + ab + {b^2}} \right)\)

#### Sum and difference of two terms

Let $a$ and $b$ be real numbers, variables, or algebraic expressions. \(\left( {a + b} \right)\left( {a – b} \right) = {a^2} – {b^2}\)

#### Sum

The result when two or more numbers are added.

#### Subtracting one integer from another

Add the opposite of the integer being subtracted to the other integer.

#### Subtracting fractions with unlike denominators

Rewrite the fractions so that they have like denominators. Then use the rule for subtracting fractions with like denominators.

#### Subtracting fractions with like denominators

Let $a$, $b$, and $c$ be integers with $c$\( \ne \)0. Then use the following rule: \(\frac{a}{c} – \frac{b}{c} = \frac{{a – b}}{c}\).

#### Subtraction property of inequalities

Subtract the same quantity form each side. If \(a < b\) , then \(a + c < b + c\).

#### Standard form of a polynomial

Let \({a_n},{\rm{ }}{a_{n – 1}},{\rm{ }}…,{\rm{ }}{a_2},{\rm{ }}{a_1},{\rm{ }}{a_0}\) be real numbers and let *n* be a non negative number. Order the terms with descending exponents.

\[{a_n}{x^n} + {a_{n – 1}}{x^{n – 1}} + … + {a_2}{x^2} + {a_1}x + {a_0}\]

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