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mixed number
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The sum of a whole number and a fraction.
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## terms list

mixed number
The sum of a whole number and a fraction.
point of intersection
The point where two lines cross.
perpendicular
Two lines that make a square corner at the point of intersection.
Polygon
Poly = more than one Gonon = angle a simple, closed, flat geometric figure whose sides are line segments.
natural (or counting) numbers
Numbers that are used to count objects or things.
irrational number
A number with an infinite number of digits after the decimal point.
positive number
Any number greater than zero.
zero
Used to describe a physical distance of no magnitude or an empty set.
negative number
Any number less than zero.
real number
All negative or positive numbers and zero.
positive real number
Any number that can be used to describe a physical distance greater than zero.
negative real number
Any number that can be used to describe the negative counterpart of a positive real number.
four basic math operations
Addition, subtraction, multiplication, and division
addend
Each number in an addition problem.
sum
The result of an addition problem.
difference
The result of subtraction problem.
factor
The numbers in a multiplication problem.
product
The result of a multiplication problem.
quotient
The result of a division problem.
fraction
A division problem represent as such: 3/4.
unit multipliers
Fractions used to change the units of a measurement.
set
Designates a well-defined collection of numbers.
absolute value
In reference to a number, the positive number that describes the distance on a number line of the graph of the number from the origin.
algebraic addition
If a and b are real numbers, then a - b = a +(-b)
opposite of a number
on a number line, a number that is the same distance away from zero in the other direction
equation
an algebraic statement consisting of two expressions connected with an = sign
constant
a quantity whose value does not change
equality
two expressions that are equal connected by an = sign
inequality
Two or more expressions connected by ≠ < or >
real numbers
inclusive set of all numbers (counting, whole, rational & irrational)
counting numbers
{ 1, 2, 3, 4, ....} also called natural numbers
whole numbers
{ 0, 1, 2, 3, 4....}
integers
Positive and negative whole numbers {..., -2, -1, 0, 1, 2, 3, ....}
rational numbers
number expressible as a ratio of whole numbers(can include fractions, decimals and square roots with finite results)
irrational numbers
number not expressible as a ration of whole numbers(includes: π, square root of 2, etc...)
Commutative Property
addition: a + b = b + a multiplication: a x b = b x a
inverse operations
opposite operations: addition/subtraction multiplication/division
additive inverse
every real number has an opposite that when combines makes it equal to 0 (2.56 . . . . -2.56)
multiplicative inverse
every real number has a reciprocal that when combined makes it equal to 1 (3 . . . 1/3)
term
a single entity that represents or has the value of a number {4 x xy xy/p}
coefficient
a number (numerical ) or letter (literal) which proceeds other factors in an expression
factoring
writing sums as the product of factors
Rules for terms
•numerical coefficients of like terms can be combined
Rules for Equations
•additive property of equality (+/- both sides) •multiplicative property of equality (x/÷ both sides) •common factors cancel
Greatest Common Factor (GCF)
product of all prime factors common to each term, to the highest power that it occurs in all of the terms. (used for factoring)Steps: Factor to prime/use each similar factor least number of times
least common multiple (LCM)
smallest number that can be divided evenly by each of a group of numbers (used for common denominators)Steps: Factor to prime/use each factor greatest number of times
quadratic equations
equations that are second degree polynomial equations.
polynomial
expression of more than 2 algebraic terms with different powers of the same variable An expression that can have constants (like 4) variables (like x or y) and exponents (like the 2 in y2) that can be combined using addition, subtraction, multiplication and division.
Steps for Factoring
•GCF •Trinomial (foil method) •Difference of perfect squares: a²−b² factors to (a+b)(a−b) •Difference of cubes: b³-8 = (b−2)(b²+2b+4) •Perfect square: x²−6x+9 = (x−3)²
Exponent
a mathematical notation indicating the number of times a quantity is multiplied by itself
power
a mathematical notation indicating the number of times a quantity is multiplied by itself
Radical
a symbol which represents the square root of a number.
prime factor
Breaking down a composite number until all of the factors are prime
Monomial
an expression with only one term
binomial
a polynomial with two terms
Trinomial
A polynomial with three terms
Slope Intercept
y = mx + b
consecutive integers
integers in counting order
Ratio
shows a relationship between two things,
proportion
A statement that two ratios are equal. To solve one, cross multiply.

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