Algebra I Glossary

a U-shaped graph which is produced by a quadratic equation

lines that have the same slope and different y-intercepts

a method of multiplication in which each factor is split into a sum of its parts. Every part of one factor is multiplied by every part of the other factor, then these partial products are added together. For example, (5)(23) = (5)(20 + 3) = 5(20) + 5(3) = 100 + 15 = 115

any of the squares of the integers. Since 12 = 1, 22 = 4, 32 = 9, etc., 1, 4, and 9 are perfect squares

a trinomial that is the product of a binomial times itself, such as r2 + 2rs + s2 (from (r + s)2), and r2 – 2rs + s2 (from (r – s)2)

groupings in which the order of members matters

lines that have opposite reciprocal slopes

a form of linear equation, written as (FIX) , where m is the slope and (x1, y1) are the co-ordinates of a point

a monomial or sum of monomials, like 4x2 + 3x – 10

a monomial or sum of monomials, like y = 4x2 + 3x – 10

a way of describing the exponent in exponential notation. We can say the base is raised to the power of the exponent.  For example we read x5 as “x raised to the 5th power.”

raising a value written in exponential notation to a power as in (x2)3

a factor that has no factors but 1 and itself. For example, 2 is a prime factor of 12 because its only factors are 1 and 2, while 6 is not a prime factor of 12 because it has more factors than 1 and 6 (i.e. 2 and 3).

the process of breaking a number down into its prime factors

a whole number for which the only factors are 1 and the number itself

a trinomial that cannot be factored using integers

a measure of how likely it is that something will occur

multiplication of two or more values in exponential form that have the same base—the base stays the same and the exponents are added

a set of rules for inequalities that describe how addition, subtraction, multiplication, or division can be applied to both sides of an inequality in order to produce an equivalent inequality

states that the equality of an equation is maintained when both sides have the same value added, subtracted, multiplied, or divided

a function in which the input times a constant equals the output

a Greek philosopher and mathematician who lived in the 6th Century BC

the formula used to relate the lengths of the sides in any right triangle