Algebra 1 final vocabulary

the opposite of a number. two numbers are additive inverses if their sum is zero.

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

The parts of the expression that are added of subtracted

The shape of the graph of a quadratic function.

Formula x=\frac{-b+-\sqrt{b^2-4ac}}{2a}, gives solutions, roots, of equations in for real numbers a does not equal 0.

A number that is multiplied by a variable

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

The equation of a straight line in the formy=mx+b, where m is the slope of the line and b is the y-intercept.

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

measure of a line If (X_1,Y₁) & (X_2,Y₂) are two points on the line of the slope.

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

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

Exponential function f(x)=ab^x where 0<b<1. If r is rate of decay then function is y=a(1-r)^t.

The degree of the term of the polynomial with the greatest degree.

Exponential function f(x)=ab^x where b > 1. If r is rate of growth, then y=a(1-r)^t, where a/initial amount t/time.

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

the set of all first coordinates (input or x-value) of a relation or function.

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

Number or expressions we can multiply together to get another expression.

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

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

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

A method used to solve systems of equations in which one variable is eliminated by adding or subtracting.

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

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

a statement that compares two expressions by using one of the following signs. <, >,

largest monomial that is a factor of each term of polynomial. The GCF must be a factor of EVERY term in the polynomial.

method used to solve systems of equations by solving an equation for one variable and substituting.

A polynomial with three terms

Test to determine if a relation is a function. If vertical line crosses the graph more than once it is a function.

Difference of the third (upper) and the first (lower) quartiles of the data set representing the middle half of the data

A process used to form a perfect square trinomial. To complete the square of x²+bx, and add (\frac{b}{2})^2.

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

A polynomial with two terms.

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

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

a polynomial function with one or more variables in which the highest exponent of the variable is two

h=-16t²+vt+s, where v is the initial velocity in feet per second and s is the starting height in feet.

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

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

A real number x will be called a solution or a root if it satisfies the equation ax²+bx+c=0

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

The highest or lowest point on the parabola.

A polynomial in the form a2−b2a^2 - b^2a2−b2, which may be written as the product (a+b)(a−b)(a + b)(a - b)(a+b)(a−b).

A function of the form f(x)=ab^x, where a and b are real numbers with a does not equal 0, b > 0, and b\ne 1.

Bar graph used display data grouped class intervals. Width each bar proportional to class interval.

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

A sum or difference of monomials.

The line with slope m that contains the point (X₁,Y₁) can be described by the equation y-y₁=m(x-x₁)

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

Operation that undo each other.

The value of the highest point on the graph of the function.