Vacationing Curiosity Seekers- Honing your math vocabulary.
How many of these mathematically language terms can you define and give one example:
For 3 extra points on the next test: Define each and provide an example.
These can be posted below and submitted after the vacation.
For example:
Arithemetically refers to math expressions, equations or problems that do not have a "variable" or operations that do not involve one or more variables. Eg, 1/3, 18* 2 =36, 5+97=100, 169 + 56, 27/3
algebraic expression
algebraic inequalities
algebraically
arithmetically
binomial
combine like terms
degree of a polynomial
domain
factor
function notation
function rule
graphically
integer coefficients
line
linear inequalities
linear relationship
monomial
nonlinear relationship
numerically
operations with polynomials
ordered pair
polynomial
quadratic equation
quadratics
range
relation
simplify expressions
solution set of an equation
solution set of an inequality
trinomial
verbal expression
posted by Mr.Napoli @ 12:37 PM
2 Comments:
algebraic expression:An algebraic expression is one or more algebraic terms in a phrase. It can include variables, constants, and operating symbols, such as plus and minus signs. It's only a phrase, not the whole sentence, so it doesn't include an equal sign. Algebraic expression: 3x2 + 2y + 7xy + 5
arithmetically: The traditional arithmetic operations are addition, subtraction, multiplication and division, although more advanced operations (such as manipulations of percentages, square root, exponentiation, and logarithmic functions) are also sometimes included in this subject. Arithmetic is performed according to an order of operations. Examples Subtraction: 4 − 2 Division: 16 / 4 = 4
binomial: In elementary algebra, a binomial is a polynomial with two terms: the sum of two monomials. It is the simplest kind of polynomial.
combine like terms: is when you combine terms that have the same variable and exponent.
degree of a polynomial: The degree of a term of a polynomial in one variable is the exponent on the variable in that term; the degree of a polynomial is the highest such degree. For example, in 2x3 + 4x2 + x + 7, the term of highest degree is 2x3; this term, and therefore the entire polynomial, are said to have degree 3.
Domain: In mathematics, the domain of a function is the set of all input values to the function.
factor: a multiplicative factor is a coefficient; compare multiplication factor; a number that is a divisor of another number; thus, factorization is to express a number as the product of two numbers.
integer coefficients: In mathematics, a coefficient is a constant multiplicative factor of a certain object. The object can be such things as a variable, a vector, a function etc. For example, the coefficient of 9x2 is 9. In some cases, the objects and the coefficients are indexed in the same way, leading to expressions
line: A line, or straight line, can be described as an (infinitely) thin, (infinitely) long, perfectly straight curve (the term curve in mathematics includes "straight curves"). In Euclidean geometry, exactly one line can be found that passes through any two points. The line provides the shortest connection between the points.
linear relationship: In mathematics and linear algebra, a system of linear equations is a set of linear equations such as:
3x1 + 2x2 − x3 = 1
2x1 − 2x2 + 4x3 = −2
−x1 + ½x2 − x3 = 0.
monomial: In mathematics, a monomial is a particular kind of polynomial, having just one term. Given a natural number n and a variable x, the power function defined by the rule f(x)=xn is therefore a monomial. Given several unknown variables (say, x, y, z) and corresponding natural number exponents (say, a, b, c), the product of the resulting univariate monomials is also a monomial (e.g., the function determined by the rule f(x)=xaybzc).
nonlinear relationship: In mathematics, nonlinear systems represent systems whose behavior is not expressible as a sum of the behaviors of its descriptors. In particular, the behavior of nonlinear systems is not subject to the principle of superposition, as linear systems are. Crudely, a nonlinear system is one whose behavior is not simply the sum of its parts.
ordered pair: An ordered pair is a collection of two objects such that one can be distinguished as the first element and the other as the second element. An ordered pair with first element a and second element b is usually written as (a, b).
polynomial: In mathematics, a polynomial is an expression in which constants and variables are combined using only addition, subtraction, and multiplication
quadratic equation: In mathematics, a quadratic equation is a polynomial equation of the second degree.
quadratics: A quadratic function, in mathematics, is a polynomial function of the form , where is nonzero. It takes its name from the Latin quadratus for square, because quadratic functions arise in the calculation of areas of squares. In the case where the domain and codomain are (all real numbers), the graph of such a function is a parabola.
Range: In mathematics, the range of a function is the set of all "output" values produced by that function
Relation: In mathematics, a relation is a generalization of arithmetic relations, such as "=" and "<", which occur in statements, such as "5 < 6" or "2 + 2 = 4". See relation (mathematics), binary relation (of set theory and logic) and relational algebra.
simplify expressions: An expression combines numbers, operators, grouping symbols (such as brackets and parentheses) and/or free variables and bound variables: bound variables are assigned values within the expression (they are for internal use), free variables can take on values from outside the expression.
trinomial: In elementary algebra, a trinomial is a polynomial consisting of three terms; in other words, a trinomial is the sum of three monomials.
I FOUND OUT EVERYTHING I COULD Mr. Napoli, SO I HOPE THIS IS RIGHT.
THANK YOU
SCHEILLA ALCANTARA
FATIMA BAZZI PD-7
Algebraic Expression- a mathematical phrase which can contain numbers, operators (add, subtract, multiply, divide), and at least one variable (like x, y) to represent operations
Example - x+34n÷ 3
Algebraic Inequalities-An algebraic inequality is the inequality of two algebraic expressions
Example-x + 5 > 9
Algebraically - Of, relating to, or designating algebra.
Example- 5n + n = 20
Arithmetically-The mathematics of integers, rational numbers, real numbers, or complex numbers under addition, subtraction, multiplication, and division.
Example-1/3, 18* 2 =36, 5+97=100, 169 + 56, 27/3
Binomial - A polynomial with two terms.
Example -3y + 6x
Combine Like Terms - When you combine terms that have the same variable.
Example- 2n+3n =5n
Degree of Polynomial- The highest exponent in the polynomial.
Example- 2n²+ n -3 - this is a second degree polynomial
Domain- The set of all possible values of an independent variable of a function.
Example- x<3, x>1
Factor -One of two or more quantities that divides a given quantity without a remainder.
Example- factors of 6 are 1,2,3 and 6
Line - Geometric figure formed by a point moving along a fixed direction and the reverse direction.
Example-
Graphically-Of, relating to, or represented by or as if by a graph.
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