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Algebra words that start with O — Definition, Formula & Examples

Algebra words that start with O is a reference list of important algebra vocabulary beginning with the letter O, including terms like ordered pair, origin, opposite, output, and one-to-one function.

This glossary entry catalogs algebraic terms with the initial letter O, providing concise definitions that support coursework in pre-algebra through Algebra II. Key entries include origin (the point (0,0)(0,0)), ordered pair (a coordinate notation (x,y)(x, y)), opposite (the additive inverse a-a of a number aa), output (the result of evaluating a function), and one-to-one (a function where each output corresponds to exactly one input).

Example

Problem: Identify the algebra O-terms used in this statement: 'Plot the ordered pair (3, −5) on the coordinate plane, noting its position relative to the origin.'
Ordered pair: The notation (3,5)(3, -5) is an ordered pair — two numbers in a fixed sequence giving the xx-coordinate first and the yy-coordinate second.
(x,y)=(3,5)(x, y) = (3, -5)
Origin: The origin is the point where the xx-axis and yy-axis intersect. Every position on the plane is measured from this reference point.
(0,0)(0, 0)
Locate the point: From the origin, move 3 units right and 5 units down. The opposite of 5 is 5-5, which tells you to move in the negative yy-direction.
Answer: The statement uses three O-terms: ordered pair, origin, and (implicitly) opposite, since 5-5 is the opposite of 55.

Why It Matters

Knowing precise vocabulary helps you follow instructions on tests and communicate solutions clearly. Terms like ordered pair and origin appear on virtually every coordinate-geometry and function problem in Algebra I and the SAT.

Common Mistakes

Mistake: Confusing 'output' with 'input' when describing a function.
Correction: The input is the value you substitute into the function (often xx), while the output is the result the function returns (often yy or f(x)f(x)). Think: input goes in, output comes out.

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