Adv. Algebra 1: Vocabulary

A polynomial in one variable is written in standard form when the terms are in order from greatest to least.

The sum of all the values in a data set divided by the number if data values. Also called the average.

A relation in which every domain value is paired with exactly one range value.

The coefficient on the first terms of a polynomial in standard form.

The parts of the expression that are added or subtracted.

Exponential function of the form f\left(x\right)=ab^x in which 0<b<1, or can be written y=a(1-r)^t.

A mathematical phrase that contains operations, numbers, and/or variables.

A number or expression that is multiplied by another number or expression to get a product.

For the function f, any number x such that f(x)=0.

A method of showing how data is distributed by using the median, quartiles, and minimum and maximum values.

A real number x will be called a solution or a root if it satisfies the equation.ax^2+bx+c=0.

The formula x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}, which gives solution, or roots, of equations in the ax^2+bx+c=0.

A polynomial with three terms.

The large monomial that is a factor of each term of the polynomial.

A quadratic function written in the form f(x)=a(x-h)^2+k where a, h, and k are constants and (h,k) is the vertext.

A polynomial in the form a^2-b^2, which may be written as the product (a+b)(a-b).

An equation in the form ax^2+bx+c=0, where a, b, and c are real numbers and a\ne0.

A polynomial with two terms.

The set of all the second coordinates (output or y-values) of a function or relation.

The part of the coordinate plane on one side of a line, which may include the line.

A line that divides a plane figure or a graph into two congruent reflected halves.

Method used to solve system of equations by solving for a variable, substituting the expression into the other equation.

h=-16t+vt+s, where v is the initial velocity in feet per second and s is the starting height in feet.

A sum or difference of monomials.

A process used to form a perfect square trinomial. To complete the square of x^2+bx, and add (\frac{b}{2})^2.

A line that contains the point \left(x_1-y_1\right) can be described with the equation y-y_1=m\left(x-x_1\right).

The set of all first coordinates (input or x-values) of a relation or function.

Operations that undo each other.

The equation of a straight line in the form y=mx+b.

The shape of the graph of a quadratic function.

The y-value of the highest point on the graph.

Ax+By=C, where A,B, and C are constants and A and B are not both 0.

A measure of steepness of line, are any 2points on line, the slope is m,the slope's equation is \frac{y_2-y_1}{x_2-x_1}.

A line that divides a coordinate plane into two-half planes.

A statement that compares two expressions by using one of the following signs, <,>,\le,\ge, or \ne.

Exponential function of form f\left(x\right)=ab^x in which b>1. Or the function can be written y=a\left(1+r\right)^t.

Test used to determine if a relation is a function. If a vertical line crosses a graph more than once, isn't a function.

Two inequalities that are combined into one statement by the word and or or.

The opposite of a number. Two numbers are additive inverses if their sum is zero.

The middle value or the average of the middle two values.

The y-value of the lowest point on the graph of the function.

A trinomial whose factored form is the square of a binomial.

Bar graph to display data grouped in intervals. Width of each bar is even to class interval, area is equal to frequency.

The highest or lowest point on the parabola.

The degree term of the polynomial with the greatest degree.

For real numbers p and q, if pq=0 then p=0 or q=0.

A number or a product of numbers and variables with whole-number exponents, or a polynomial with one term.

Method used to solve systems of equations, eliminate one variable by adding or subtracting 2 equations of the system.

Number or expressions we can multiply together to get another expression Example: x^2+5x+6 is equivalent to (x+3)(x+2).

Function of the form f\left(x\right)=ab^x, where a and b are real numbers with a\ne0,b>, and b\ne1.

The difference of the upper and the lower quartiles of the data set, representing the middle half of the data.

A number that is multiplied by a variable.