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Name:
Date:
Unit IV Vocabulary
Period:
1.
The point of intersection, labeled O, of the axes in a rectangular coordinate plane is called
the
origin
.
2.
The horizontal number line on a coordinate plane is the
3.
One of the four regions into which a coordinate plane is separated by the coordinate axes
quadrants
.
is called a
4.
When two or more numbers are multiplied together, each of the numbers is called a
factor of the product.
5.
The
6.
The second power is called the
called the
cube
.
7.
The whole numbers, 0, 1, 2, 3, …, together with their opposites, 0, -1, -2, -3, …, form the
set of numbers called the
integers
.
8.
The only integer that is neither positive nor negative is zero
9.
The distance a number is from zero is known as the
power
x-axis .
is any expression in the form an .
square
of the number and the third power is
10. A(n) term with no variable part is called a constant
.
absolute
value
.
.
11. To
simplify
an expression is to replace the expression with an
equivalent expression having as few terms as possible or a numeral if possible.
12. A(n) equation or inequality indicating the relationship between two mathematical
mathematical
sentence
.
expressions is called a
13. A(n)
Equation
is a mathematical sentence with an “equals sign” to indicate
that two expressions name the same number.
solution
14. The
sentence.
is a value of a variable that makes an equation or inequality a true
15. Finding the value(s) of the variable that turns an open sentence into a true sentence is called
solving
the
sentence
.
16. Operations that undo each other are called __inverse________ ___operations_______.
17. A decimal that has a zero as its final remainder is a
terminating
decimal
.
18. A decimal that continues to repeat without end is a
repeating
decimal
.
19. A decimal that neither terminates nor repeats is an
number
.
irrational
20. The rational numbers and the irrational numbers together are the set of
numbers
.
real
21. Any number that can be represented by a fraction a/b, where a and b are integers and b is not
0, is a rational
number
.
22. Two nonzero numbers whose product is 1 are
reciprocals
.
23. A whole number greater than 1 that has only two whole numbers factors, itself and 1 is a
prime
number
.
24. A
composite
factors.
number
is a counting number that has more than two
25. The
prime
factorization
of a number is an expression showing a
positive integer as the product of prime numbers.
multiple
26. A
whole number
of a number is the product of a given number and any nonzero
27. The
least
common
multiple
number that is a multiple of two or more numbers.
is the least or most convenient
monomial
is a number, a variable, or the product of a number
28. A
and one or more variables raised to whole number powers.
29. A
common
nonzero whole numbers.
factor is a whole number that is a factor of two or more
30. When two numbers have no common factor other than one they are said to be relatively
prime
.
31.
A number is said to be in simplest
denominator are relatively prime.
form
when the numerator and
32.
Percent
is the ratio of a number to 100
33.
Discount
is a decrease, amount of change, in the price of an item.
34.
Markup
is an increase, amount of change, in the price of an item.
35.
Rate is a ratio that compares quantities in different units.
36.
Unit
rate
is a ratio in which one of the numbers is 1.
37.
Unit
38. A
price is the price of one item.
proportion
is an equation that states that two ratios are equal.
39. Figures that have the SAME size and shape are congruent
40. An
event
figures
.
is any outcome or group of outcomes
41. The
probability
event will occur.
that an event occurs is a measure of the likelihood that the
42. A probability that is based on repeated trials of an experiment is called an
probability
.
43. Two figures are
similar
not necessarily the same size.
figures
44. Corresponding sides of similar figures are
experimental
if they have the same SHAPE but
proportional .
45. A
relation
is a pairing of numbers in one set, called the domain, with
numbers in another set, called the range.
46. The
vertical
line
test
says that if you can find a
vertical line passing through more than one point of the graph, then the relation is not a
function.
47. A
solution
of an equation in x and y is an ordered pair (x, y) that
produces a true statement when the values of x and y are substituted into the equation.
48. An equation whose graph is a line is called a
linear
49. The y-coordinate of a point where a graph crosses the y-axis is a
50. Each number in the domain is an
51.
input
inequality
53. Each number in the range is an
54. A relation is a function
output
.
y-intercept
.
x-intercept
.
.
The x-coordinate of a point where a graph crosses the x-axis is an
52. A
linear
sentence with <, >, ≤, ≥.
equation
in two variables is a mathematical
.
if for each input there is exactly one output.
55. The
slope
of a line is the ratio of the line’s vertical change, called the rise, to its
horizontal change called the run.
56. A linear equation of the form y = mx + b is said to be in slope-intercept
form .
57. A
system
of
linear
equations
, or simply a linear system,
consists of two or more linear equations with the same variables.
58.
An equation that is solved for y is in
function
form
.
59. A letter, such as n, that is used to represent one or more numbers is called a
variable
.
60. When we replace each variable in a variable expression by one of its values and simplify the
resulting numerical expression, we say that we are
evaluating
.
61. A mathematical phrase that uses variables, numerals and operation symbols is called a (n)
variable
expression
.
62. In an expression such as 3ab, the number 3 is called the
coefficient
of ab.
63. A
regular
numerical
polygon has all of its sides and angles congruent.
circle
is the set of all points in a plane at a given distance from a
64. A
given point called the center.
65. A segment joining the center to a point on the circle is called a (n)
polygon
66. A
endpoints.
is a closed figure formed by joining segments at their
67. A segment joining two points on a circle is called a
68. A
sides.
trapezoid
chord
semicircle
diameter
.
points
.
is a half circle.
71. The symbol ≅ means congruent
.
72. All of the figures that we study in geometry are made up of
73. The perimeter of a circle is called the
74. Two angles are
degrees.
.
is a quadrilateral that has just one pair of parallel
69. A chord passing through the center of a circle is called a
70. A
radius of the circle.
complementary
circumference
.
if the sum of their measures is 90
75. Two angles are
degrees.
supplementary
if the sum of their measures is 180
76. The indicated quotient of one number divided by a second number is called the
it compares two quantities by division.
77. To find the
sale
price of the item.
price
78. A
is a type of markup.
tax or tip
ratio
;
we subtracted the discount from the original
79. Terms with the same variable part(s) to the same power(s) are called
terms
.
like
80. The process of reasoning logically from given facts to a conclusion is deductive
reasoning
.
81. The process of making conclusions based on patterns you observe is
reasoning
.
82. A conclusion by inductive reasoning is a
conjecture
83. An example that proves a statement false is a
inductive
.
counterexample
.
84. An
arithmetic
sequence
is a sequence in which each term
is found by adding (subtracting) a fixed number to the previous term.
85. A(n)
geometric
sequence
is a sequence in which each term is
found by multiplying (dividing) a fixed number by the previous term.
scatter
86. A(n)
paired data as points.
plot
uses a coordinate plane to display
87. The
coordinate
plane
is a plane marked with two
perpendicular number lines, used to graph ordered pairs of numbers.
88. The abscissa and ordinate together form the coordinates of a point called an
ordered
pair
.
89. An
outcome
is the possible results of an action.
90. A
theoretical
probability
equally likely outcomes of an experiment.
91. The
complement
is based on knowing all of the
of an event is the opposite of that event.
92. A
scale
drawing
is a two-dimensional drawing in which all
lengths are in the same ratio (similar) to actual lengths.
93. A
scale
model
is a three-dimensional model in which all lengths are in
the same ratio (similar) to actual lengths.
94. The
scale
is the relationship of length in the drawing to actual length.
95. The
counting
principle
possible ways two or more events can occur.
uses multiplication to find the number of
96. In the expression 9 + a, 9 and a are called the
terms
97. The symbol ≅ means
congruent
.
98. The symbol ∼ means
similar
99. A(n)
favorable
outcome
of the expression.
.
is the outcome for a specified event.
100. Devices used to enclose an expression that should be simplified first are called
grouping
symbols
.