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1.rational

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A real number is if it can be written as the ratio p/q of two integers, where q is not equal to 0.

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2.Irrational numbers

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have infinite non repeating decimal representations.

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3.absolute value

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The distance between a point on the real number line and the origin is the of the real number.

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4.composite number.

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A number that can be written as the product of two or more prime numbers is called a

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5.prime number.

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An integer that has exactly two positive factors, the integer itself and 1, is called a

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6.valuables

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An algebraic expression is a collection of letters called

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7.constants.

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real numbers are called

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8.The terms

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of an algebraic expression are those parts separated by addition.

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9.coefficient

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The numerical factor of a variable term is the of the variable term.

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10.The Zero Factor Property

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states that if ab=0,then a=0 or b=0

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For the polynomial anxn + an-1xn-1+ ...+a1x = a0, the degree is n,

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the leading coefficient is an, and the constant term is a0.

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1. exponent exponent

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In the exponential form aⁿ, n is the

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2.base.

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aⁿ, a is the

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3.Scientific Notation.

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A convenient way of writing very large or very small numbers is called One of the two equal factors of a number is called a square root.

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4.The principal nth root

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is the nth root that has the same sign as a, and is denoted by ⁿ√a.

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5.index of the radical

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In the radical form, ⁿ√a the positive integer n is called the

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6.radican.

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In the radical form, ⁿ√a the positive integer the number a is called

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7.simplest form.

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When an expression involving radicals has allpossible factos removed, the radical-free denominators, and a reduced index, it is in

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8.like radicals.

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The expressions a + b√m and a-b√m are

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9.rationalizing the denominator

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.The process used to create a radical-free denominator is known as

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10. power

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In the expressions bm/n, m denotes the to which the base is raised

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11.index

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In the expressions bm/n, m denotes or root to be taken.

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descending powers of x.

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A polynomial in x in standard form is written with

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monomial,binomials, trinomial

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A polynomial with one term is called a ____, while a polynomial with two terms is called___ , and a polynomial with three terms is called a ____.

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To add or subtract polynomials,

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add or subtract the like terms by adding their coefficients.

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The letters in FOIL

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stand for the following F first O outer I inner L last

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(u+v)(u-v)=u2-v2

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The sum and difference of the same terms

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u+v)2=u2+2uv+v2

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A binominal sum squared (

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(u-v)2=u2-2uv+v2

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A binomial difference squared

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factoring.

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The process of writing a polynomial as a product is called

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prime or irreducible over the integers.

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If a polynomial cannot be factored with integer coefficients it is called

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when each of its factors is prime

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A polynomial is completely factored

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factoring by grouping may be used.

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If a polynomial has more than three terms, a method of factoring called

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difference of two squares

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u2-v2=(u+v)(u-v)

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Difference of two cubes

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u3-v3=(u-v)(u2+uv+v2)

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Perfect square trinomial

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u2-2uv+v2=(u-v)2

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domain of the expressions.

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The set of real numbers for which an algebraic expression is defined is the

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fractional expression,rational expression

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The quotient of two algebraic expressions is a _____________ and the quotient of two polynomials is a ____________ .

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complex fractions.

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Fractional expressions with separate fractions in the numerator, denominator, or both are called

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factoring out the common factor with the smaller exponent

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To simplify an expression with negative exponents, it is possible to begin by .

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equivalent

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Two algebraic expressions that have the same domain and yield the same values for all numbers in their domains are called.

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difference quotient.

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An important rational expression, such as (x+h)2-x2, that occurs in calculus is called a h

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To write the expression 2 with negative exponents,

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move √x to the numerator and √x change the sign of the exponent.

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When dividing fractions,

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multiply by the reciprocal.

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x-axis

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horizontal real number line

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y-axsis

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vertical real number line

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origin

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point of intersection of vertical axis and horizontal axis

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quadrants

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four regions of he coordinate plane

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x-coordinate

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direct distance from the y-axis

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y-coordinate

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direct distance from the x-axis

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rectangular coordinate system or the Cartesian plane

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An ordered pair of real numbers can be represented in a plane called the .

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The distance formula

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is a result derived from the Pythagorean Theorem.

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using the Midpoint Formula .

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Finding the average values of the representative coordinates of the two endpoints of a line segment in a coordinate plane is also known as

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Midpoint Formula

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x1+x2 . y1+y2 2 2

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Distance

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d+√(x2-x1)2+(y2-y1)2

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