## Algebra I Glossary

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### A

#### absolute value

the value of a number without regard to its sign

allows us to add the same amount to both sides of an equation: For all real numbers a, b, and c, if a = b, then a + c = b + c

states that any number plus zero equals that number: For all real numbers a, a + 0 = a

states that every real number added to its additive inverse (or opposite) will equal zero: For all real numbers a, a + (-a) = 0; also called Inverse Property of Addition

#### algebra

the branch of mathematics that deals with operations on sets of numbers and relationships between them

#### area model

a graphic representation of a multiplication problem, in which the length and width of a rectangle are the factors and the area is the product

states that numbers in an addition sequence can be added in any order, and the value of the expression will not change: For all real numbers a, b, and c, (a + b) + c = a + (b + c)

#### Associative Property of Multiplication

states that numbers in a multiplication sequence can be multiplied in any order, and the value of the expression will not change: For all real numbers a, b, and c, (ab)c = a(bc)

#### axis of symmetry

a line of symmetry for a graph - it divides a figure or graph into halves that are the mirror images of each other

### B

#### base

the value that is raised to a power when a number is written in exponential notation.  In the term 53, 5 is the base and 3 is the exponent.

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