1001 Algebra Problems.PDF

(Marvins-Underground-K-12) #1

prime factorization the writing of a number as a multiplication expression made up of only prime num-
bers, the product of which is the original number


prime number a number whose only positive factors are 1 and itself, such as 3 or 7


product the result of multiplication. In the number sentence 24 = 8, 8 is the product.


proportion an equation that shows two equal ratios, such as ^1162 = ^43 


quadratic equation an equation in which the highest degree is 2. The equation y= x^2 + 1 is a quadratic
equation.


radical a root of a quantity


radicand the quantity under a radical symbol. In ^38 , 8 is the radicand.


range the set of all y-values that can be generated from x-values in an equation or function


ratio a relationship between two or more quantities, such as 3:2


rational expression the quotient of two polynomials


root a value ofxin the domain of a function for which f(x) is 0


slope a measurement of steepness of a line computed as follows: the change in the y-values between two points
on a line divided by the change in the x-values of those points


slope-intercept form y= mx+ b,where mis the slope of the line and bis the y-intercept


system of equations a group of two or more equations for which the common variables in each equation
have the same values


quotient the result of division. In the number sentence 62 = 3, 3 is the quotient.


term a variable, constant, or product of both, with or without an exponent, that is usually separated from another
term by addition, subtraction, or an equal sign, such as 2xor 5 in the expression (2x+ 5)


trinomial an expression that contains three terms, such as (6x^2 + 11x+ 4)


unknown a quantity whose value is not given, usually represented by a letter


unlike terms two or more terms that have different variable bases, or two or more terms with identical vari-
ables raised to different exponents, such as 3x^2 and 4x^4


variable a symbol, such as x, that takes the place of a number


vertical line test the drawing of a vertical line through the graph of an equation to determine if the equa-
tion is a function. If a vertical line can be drawn anywhere through the graph of an equation such that it
crosses the graph more than once, then the equation is not a function.


x-axis the horizontal line on a coordinate plane along which y= 0


x-intercept the x-value of a point where a curve crosses the x-axis


y-axis the vertical line on a coordinate plane along which x= 0


y-intercept the y-value of the point where a curve crosses the y-axis



  • GLOSSARY–

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