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71 Cards in this Set
- Front
- Back
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Where does the word algebra come from?
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The title of the book Ihm Al-jabr wa'l muqabalah
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A product is the result of
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Multiplication
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A sum is the result of
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Adding
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A difference is the result of
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Subtraction
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A quotient is the result of
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Division
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Variables are
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Letters that stand for numbers
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An equation is
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A mathematical sentence that contains an = symbol.
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The notation 2b on the right hand side is called an
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Algebraic expression
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Equations such as t=2b, which expresses a relationship between 2 or more variables, are called
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Forumulas
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Axis of a graph that extends left and right
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Horizontal Axis
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Axis of a graph that extends up and down
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Vertical Axis
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Whole Numbers
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0,1,2,3
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To factor a number means to
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Express it as a product of two or more numbers
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What are the factors of 8
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1,2,4, and 8
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A prime number is
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A whole number greater than 1 that has only itself and 1 as factors.
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A composite number is
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A whole number, greater than 1, that is not prime
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Every composite number can be factored into the product of two or more prime numbers. This product of these prime numbers is called its
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Prime factorization
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The prime-factored form of 210 is
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2x3x5x7
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The number above the fraction bar is called the
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Numerator
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The number below the fraction bar is called the
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Denominator
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To find the reciprocal of a fraction, you
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Invert the numerator and the denominator
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A
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They represent the same number
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Writing a fraction as an equivalent fraction with a larger denominator is called
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Building the fraction
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Since any number multiplied by 1 remains the same, 1 is called
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the multiplicative identity
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A fraction is in simplest form, or lowest terms, when the
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numerator and denominator have no common factors other than 1
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The smallest common denominator is called the
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Least or lowest common denominator
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The least or lowest common denominator for a set of fractions is
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the smallest number each denominator will divide exactly(divide with no remainder)
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A mixed number represents
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the sum of a whole number and a fraction
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Natural numbers are the numbers we use for
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counting
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To write a set of natural numbers, you list its
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members (or elements) within braces {}.
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The set of natural numbers is
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{1,2,3,4,5,....}
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The set of whole numbers is
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{0,1,2,3,4,5,...}
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Two numbers that are same distance from 0 on the number line, but on opposite side of it,
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are called opposites
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The whole numbers, together with their opposites, form the set of
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Integers
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Numbers that are greater than zero are
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Positive numbers
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Numbers that are less than zero are called
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Negative numbers
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A rational number is any number that can be expressed as a fraction with
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an integer numerator and a nonzero integer denominator
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Decimals that are called terminating decimals because
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their representation terminates.
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Decimals such as 0.3333 and 2.8167167167... are called
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repeating decimal
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We use an overbar to write
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repeating decimals in more compact form.
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Numbers that cannot be expressed as a fraction with an integer numerator and a integer denominator are called
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Irrational numbers
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A real number is
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any number that is a rational number or an irrational number
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< and > are
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Inequality symbols (< is greater than and > is less than)
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To graph a number means
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to mark its position on the number line.
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Absolute value of a number is
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the distance from 0 to the number on the numberline
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Positive numbers and negative numbers are called
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signed numbers
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The Commutative Property of Addition is when
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Changing the order when adding does not affect the answer. a+b = b+a
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The Associative Property of Addition is when
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Changing the grouping when adding does not affect the answer. Let a,b, and c represent real numbers,
(a+b)+c = a+(b+c) |
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Two numbers that are the same distance from 0 on a number line, but on opposite sides of it, are called
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opposites
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Opposites are also called
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additive inverses.
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The Addition property of Opposites (Inverse Property of Addition)is when
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The sum of a number and its opposite is 0. For any real number a and its opposite or additive inverse -a, a+(-a)=0
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When we find the difference between the maximum value and the minimum value of a collection of measurements, we are finding
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the range of the value.
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Addition property of 0 is when
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0 is added to any real number, the result is the same real number.
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0 is called the identity element for
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addition
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Subtraction of Real Numbers is
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a-b = a + (-b)
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The arithmetic mean is the
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Average of the set of numbers
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An algebraic expression is when
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Variables and/or numbers can be combined with the operations of arithmetic.
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A term is a
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product or quotient of numbers and/or variables. A single number or variable is a term.
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The numerical factor of a term is called
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the coefficient of a term.
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A term that consist of a single number is called
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a constant term
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An equation is
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a statement indicating that two expressions are equal.
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90 degrees is called a
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Right angle
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180 degrees is called a
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Straight angle
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Percent means
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parts per 100
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Like terms are
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Terms with exactly the same variables raised to the exact same power.
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Terms that are not like terms are called
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unlike terms
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Linear equation in one variable
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ax+b= c when a,c and c are real numbers and a is not equal to 0.
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An equation that is true for all values of its variable is called
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an identity
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A formula is
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an equation that states a known relationship between two or more variables.
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A number that makes an inequality true is called
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a solution of the inequality
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The solution set of an inequality is
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the set of all of its solutions
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