Algebra I Glossary

the set of all outcomes

a convention for writing very large and very small numbers in which a number is expressed as the product of a power of 10 and a number that is greater than or equal to 1 and less than 10 as in 3.2 • 104

an event with only one outcome

the ratio of the vertical and horizontal changes between two points on a surface or a line

the equation for the slope of a line, written as (FIX) , where m is the slope and (x1, y1) and (x2, y2) are the coordinates of two points on the line

a linear equation, written in the form y = mx + b, where m is the slope and b is the y-intercept

a linear equation, written as y = mx + b, where m is the slope and b is the y-intercept

a product resulting from binomial multiplication that has certain characteristics. For example x2 – 25 is called a special product because both its terms are perfect squares and it can be factored into (x + 5)(x –­ 5).

a linear equation, written in the form Ax + By = C, where x and y are variables and A, B, and C are integers

written as (ADD) , where x and y are variables and a, b, and c are numbers with a ? 0. In the case of a single variable the standard form becomes ax2 + bx + c = 0.

a method of solving a system of equations by substituting one quantity in for an equivalent quantity

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

a set of two or more equations that share two or more unknowns

a set of two or more inequalities that must hold true at the same time