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					MATH PHRASES

PRE-ALGEBRA THEN ALGEBRA 1

Study Guide for First Semester Geometry Mastery, 6-5-95
(old version, questions 1,2,3,4,5,6,7,9,10,11,13,25,28,31,33,34)
Text:
Geometry, Nichols et.al., Holt,, 1991.
Chapters 1-7 & Pythagorean Theorem (Ch 9).
midpoints (1.3)
acute/obtuse/right/straight angles (1.4)
adjacent angles and angle bisectors (1.5)
supplements and complements of angles (1.6)
vertical angles (2.8)
parallel lines and transversals (3.2)
alternate & Same Side Interior Angles (3.3)
sum of angles in triangle (3.6)
exterior and remote interior angles (3.7)
congruence of triangles, SAS, SSS, ASA, AAS (4.2-4,6)
isosceles, equilateral trianges (5.1)
altitudes & medians of triangles (5.5)
triangle angle/side inequalities (5.7-8)
interior angles of polygons (6.2)
parallelogram conditions (6.4-6.5)
special quadrilateral conditions (7.2-3)
the pythagorean theorem (9.2)
Phrase Guide for Pre-Algebra, Nichols, et.al., Holt, 1992.
Unit 1, Chapters 1 through 3: Introduction to Algebra
Chapter 1, Lessons 1-1 through 1-9: Integers
Lesson 1-1, pgs 2-6: The Integers
the integers
data
bar graph
zero
positive
negative
above sea level
below zero
non-negative
absolute value
opposite of
represents
number line
table
calculator
original integer
one-millionth
round number
nearest million
Pre-Algebra

Lesson 1-2, pgs 7-10:
Comparing and Ordering Integers

number line
ascending order
descending order
compare integers
greater than
less than
inequality
sign
left of
right of
locate the numbers
list the numbers
chart
mathematical sentence
ordering integers

Lesson 1-3, pgs 11-12:
Problem Solving Exploration
Using an Addition Model

positive counter
negative counter
value of square
opposite signs
neutral pair
add counters
remove pairs
same sign
record the sum
final value
problem solving
addition model

Lesson 1-4, pgs 13-18:
Adding Integers

stock transactions
add integers
model this sum
number line
move right
move left
like signs
absolute values
neutral pair
property of opposites
set of integers
find the profit
greater value
difference of
addition sentence
expression
gained
lost
change in
net change
two at a time
shortcut method
find it mentally
is always
successive plays
calculate
final position
total gained
series of plays
find the sum
only if
statement is false
true statement

Lesson 1-5, pgs 21-22: Problem Solving Exploration
Using a Subtraction Model

use counters
model subtraction
subtract from
change the value
greater than
neutral counters
negative number
final value
model shows
absolute value
subtraction model

Lesson 1-6, pgs 23-25:
Subtracting Integers

subtraction
addition
are related
subtracting integers
is the same as
adding the opposite
rewrite problem
subtraction rule
expression
same value
difference is
difference of
calculator sequence
change-of-sign
inequality sign

Lesson 1-7, pgs 26-27:
Problem Solving Strategies
Choosing a Method
of Computation

formulate a plan
solve a problem
more efficient
use a calculator
mental math
use counters
use a model
paper & pencil
use a computer
exact answer
estimate
arrive at answer
large numbers
represent problem
apply strategies
divisible by
sum is closer
find the product
cheaper way
opposite direction
accuracy
method of computation

Lesson 1-8, pgs 28-31:
Multiplying Integers

factors
first factor
second factor
complete the pattern
different signs
same signs
like signs
unlike signs
multiplying integers
find the product
correct statement
times a loss
numbered consecutively
evenly spaced
directly opposite

Lesson 1-9, pgs 32-35: Dividing Integers

yards per minute
change in altitude
amount of change
algebra
divisions
fraction form
inverse operations
related rules
dividing integers
quotient
divide by zero
not defined
like signs
unlike signs
zero by zero
division statements
total decrease
evaluate
inequality sign
equal sign
total decrease
average drop

Chapter 2, Lessons 2-1 through 2-8:
Variables and Expressions
Lesson 2-1, pgs 39-43:
Evaluating Expressions

algebraic expression
represent the total
symbol
variable
numerical expression
the result is
translate
word expression
added to
sum of
increased by
more than
subtracted from
decreased by
less than
less
times
product of
multiplied by
divided by
quotient of
equivalent
same number
simplify expression
simplified
operations
parentheses
remove parentheses
substitute for
a given value
word descriptions
algebraic descriptions
cost in cents
for what value
evaluate expression

Lesson 2-2, pgs 44-45: Problem Solving Strategies
Using a Step-by-Step Process

understand
plan
look back
apply
better buy
estimation
approximate
reasonable
correct operations
answer the question
label a diagram
evaluate expression
how many different
exactly the same
distance around
step-by-step process

Lesson 2-3, pgs 46-50:
Order of Operations

compute the cost
one expression
two values
rules are needed
simplify expression
same result
order of operations
enclosed in parenthesis
perform operation
numerator
denominator
left-to-right
algebraic expression
variable
evaluate
equivalent
indicates the product
scientific calculator

Lesson 2-4, pgs 51-52 Problem Solving Exploration
Making Generalizations

generalization
specific instance
pattern
only one instance
counterexample
does not equal
every instance
pattern

Lesson 2-5, pgs 54-58:
Basic Properties and Mental Computations

commutative property
change the sum
product
associative property
identity property
of addition
of multiplication
simplify mentally
addition of opposites
numerical expression
counterexample
commutative operation
share equally

Lesson 2-6, pgs 59-63: Using the Distributive Property

distributive property
multiplication over addition
addends
numerical coefficient
like terms
add like terms
recognize instances
values
equivalent expressions
product
symbol

Lesson 2-7, pgs 64-68: Formulas: Perimeter, Area, Average

rectangle
perimeter
distance around
area
square units
formula
square
2L+2W
LW
length times width
meters
square meters
average
substitute

Lesson 2-8, pgs 69-74:
Area Formulas:
Parallelograms, Triangles, and Trapezoids

geometric figure
rectangle
parallelogram
opposite sides
same length
parallel
graph paper
base times height
diagram
triangle
diagonal
size and shape
trapezoid
figure ABCD
double the height

Chapter 3, Lessons 3-1 to 3-9:
Equations and Problem Solving
Lesson 3-1, pgs 80-84:
Equations and Inequalities

equation
mathematical sentence
number replacement
solution
equal sign
expression
variable
set
members
elements
solution set
inequality
each member of

Lesson 3-2, pgs 85-88:
Solving Equations

write an equation
represent
what number
guess-and-check
solve an equation
reasonable guess
mental math
added to
times a number
divided by
equivalent expressions

Lesson 3-3, pgs 89-90: Problem Solving Strategies
Choosing Strategies

total number of
guess-and-check
draw a diagram
simpler problem
look for pattern
digits

Lesson 3-4, pgs 91-94:
Solving Addition and Subtraction Equations
solve equations
substitute values
replacement set
mental math
guess-and-check
general method
addition property
equality
equivalent equations
opposites
identity
should be added

Lesson 3-5, pgs 95-99:
Solving Multiplication and Division Equations

what is the question
choose a variable
in words
in algebra
think
solution
check
multiplication property
of equality
division property
solve and check
multiply each side
original equation
not true for zero
multiply each side
divide each side

Lesson 3-6, pgs 101-104: Inverse Operations
inverse operations
undo each other
both sides
apply the inverse
perform operations
insert parentheses

Lesson 3-7, pgs 105-109:
Solving Multi-Step Equations
distributive property
remove parentheses
original equation
combine terms
taking the opposite
rewrite expression
sequence
term

Lesson 3-8, pgs 110-113:
Translating Word Expressions to Algebraic Expressions

translate
word expression
algebraic expression
essential skill
same symbol
more than one
addition expression
sum of
add to
more than
increased by
total of
subtraction expression
minus
difference of
subtract from
decreased by
less
less than
multiplication expression
times
product of
multiplied by
twice
triple
division expressions
divided by
quotient of
times the quantity
terms
enclosed in parentheses
represent
algebraic symbols
variable
operation
symbols
distance traveled

Lesson 3-9, pgs 114-118:
Problem Solving
Writing an Equation

deposited some money
what is question
what is given
consecutive numbers
one more than
represent
unknowns
number of
total number
write equations
connect conditions
check conditions

Unit 2, Chapters 4-5:
Rational Numbers

Chapter 4, Lessons 4-1 through 4-8:
Number Theory

Lesson 4-1, pgs 126-130:
Factors and Multiples

form a product
factor of
multiple of
divisible by
natural number
remainder
mentally divide
quotient
multiples
infinite set
continue without end
consecutive months
divide evenly
illustrate your answer

Lesson 4-2, pgs 131-136:
Tests for Divisibility

whole-dollar
divisibility
determining
add the digits
is divisible by
even numbers
odd numbers
number formed by
members of set
factors
nonzero

Lesson 4-3, pgs 137-138:
Problem Solving Exploration
Factors and Patterns

unit square
all possible
ordered pair
horizontal
dimension
vertical
one-rectangle number
prediction

Lesson 4-4, pgs 139-141:
Prime Numbers

different factors
prime number
composite number
natural number
twin primes
distinct parts
reversal primes
sieve
Eratosthenes
Lesson 4-5, pgs 143-146:
Prime Factorization

to factor
express as a
product
natural number
factor completely
prime factorization
factor tree
divisibility test
ascending order
evaluate
expression

Lesson 4-6, pgs 148-149:
Problem Solving Strategies
Solving a Simpler Problem

divisible by
related problem
simpler problem

Lesson 4-7, pgs 150-153:
Exponents

prime factorization
base
exponent
power
fourth power
squared
cubed
simplify
expression
order of operation
parentheses
formula
volume
key sequence
multiples
algebraic expression
Lesson 4-8, pgs 154-158:
LCM and GCF

multiples of
common multiple
least common multiple
LCM
natural number
divisible by
prime number
prime factors
base
exponent
factor
common factor
greatest common factor
GCF
factorization
relatively prime
pictograph
evaluate

Chapter 5, Lessons 5-1 through 5-10:
Fractions

Lesson 5-1, pgs 163-167:
Equivalent Fractions

one half
three quarters
fraction
whole number
natural number
numerator
denominator
proper
improper
equivalent
equivalent fraction
lowest terms
relatively prime
common factor
GCF
even numbers
approximate
rectangular

Lesson 5-2, pgs 169-170:
Problem Solving Exploration
Modeling Multiplication

horizontal lines
vertical lines
mathematical symbols
mathematically
product
represented by

Lesson 5-3, pgs 171-174:
Multiplying Fractions

two-thirds
one-fifth
multiplication rule
numerator
denominator
product
fraction
divide
common factor
lowest terms
divided equally
share what remains

Lesson 5-4, pgs 175-179:
Multiplying Mixed Numbers

mixed number
improper fraction
represent
whole number
fraction
distributive property
renaming
common factors
reasonable
estimate
at this rate
Lesson 5-5, pgs 180-181:
Problem Solving Strategies
Organizing Information

organizing
information
logical reasoning
possibility
conclusion
must be

Lesson 5-6, pgs 183-188:
Using Reciprocals to Solve Equations

product is one
reciprocals
multiplicative
inverse
is its own
equality
complex fraction
dividend
divisor

Lesson 5-7, pgs 189-193:
Dividing Fractions and Mixed Numbers

square section
pattern
mathematical model
division rule
reciprocal
multiplicative inverse
number line
inverse operation
division rule
mixed number
common factor
improper fraction
quotient
multiplication expression
counterexample
Lesson 5-8, pgs 194-199:
Fractions with Like Denominators

organizing data
make comparisons
formulate questions
draw conclusions
make decisions
apply the property
commutative property
associative property
adding fractions
like denominators
express answer
lowest terms
fractional part
denominators
numerators

Lesson 5-9, pgs 200-205:
Adding and Subtracting Fractions:
Unlike Denominators

estimate
to the nearest
whole number
sum
difference
is about
equivalent fractions
least common denominator
LCD
conjecture

Lesson 5-10, pgs 206-209:
Subtracting Mixed Numbers

estimate
rename
LCM
density property
solution set
replacement set
Unit 3, Chapters 6-8:
Using Ratios

Chapter 6, Lessons 6-1 through 6-9:
Probability

Lesson 6-1, pgs 216-220:
Ratio and Proportion

ratio
compare data
3 out of 5
3 to 5
lowest terms
first term
second term
equivalent ratios
proportion
means
extremes
cross-products
generalization

Lesson 6-2, pgs 221-225:
Problem Solving
Using Proportions

proportions
equivalent ratios
cross-product
variables
simplify
quality control
rate
expected number
cents per ounce
unit rate

Lesson 6-3, pgs 226-230:
Ratio and Measurement

basic unit
capacity
weight
length
fluid ounce
cup
pint
quart
gallon
ounce
pound
ton
inch
foot
yard
mile
ratio
measurement
relationship
proportion
actual distance
map distance
cross-multiply
represents the scale
scale drawing
actual length
compare ratios

Lesson 6-4, pgs 231-232:
Problem Solving Strategies
Collecting Data

prepare the report
gather information
analyze data

Lesson 6-5, pgs 234-235:
Problem Solving Exploration
Recording Chances

cube
numbered sides
ordered pair
summary table
tally mark
chances of
how many different
are possible
successful throw

Lesson 6-6, pgs 236-240:
Probability

as likely to
fair way
outcomes
equally likely
event
possible outcome
sample space
probability
chance
ratio
successful outcome
total number
more likely
certain to happen
less likely
cannot happen
drawn at random
odds in favor
unsuccessful
experiment
Lesson 6-7, pgs 241-246:
Independent and Dependent Events

probability
independent event
sample space
successful event
chosen at random
dependent event
outcomes
mutually exclusive

Lesson 6-8, pgs 247-251:
Making Choices

different choices
tree diagram
model
fundamental counting principle
number of events
sample space
probability
equally likely
random survey

Lesson 6-9, pgs 252-257:
Permutations

tree diagram
possible outcome
permutation
ordered arrangement
number of ways
factorial notation
fundamental counting principal
evaluate

Chapter 7, Lessons 7-1 through 7-10:
Decimals

Lesson 7-1, pgs 262-266:
Rational Expressions

algebra
formula
expression
ratio of
algebraic expression
rational
rational expression
evaluate
substitute
values for
variables
rational number
integers
denominator
not equal zero
irrational
pi
square root
expressed as
fractional part
lowest terms
inverse
identity property

Lesson 7-2, pgs 267-270:
Rational Numbers

number line
denominator
opposite
sum is zero
rational numbers
equivalent fractions

Lesson 7-3, pgs 271-274:
Decimals and Fractions

mileage indicator
odometer
extreme right
tenths of a mile
decimal
basic symbols
decimal system
digit
separately
in combination with
place value
tens
ones
tenths
hundredths
thousandths
expanded form
negative decimal
equivalent fraction
mixed number
lowest terms
decimeter
decigram
deciliter
exponents
base ten
quotient

Lesson 7-4, pgs 275-276:
Problem Solving Strategies
Drawing a Diagram

connecting lines
completely rhymed
draw diagram
lady murasaki
incompletely rhymed
segment
opposite corners
right angle
90 degrees

Lesson 7-5, pgs 277-280:
Repeating Decimals

rational number
terminating
repeating decimal
repeats without end
use a bar
digits that repeat
unending
exact value
round the decimal
irrational
irrational number
pi
nearest hundredth
statement
reason

Lesson 7-6, pgs 282-286:
Estimating Sums and Differences

bar graph
compare data
estimate
sum
difference
round to tenths
break the record
front digits
exact answer

Lesson 7-7, pgs 287-288:
Problem Solving Exploration
Powers of Ten

relationship
exponent
number of zeros
product
factors
powers of ten
generalization
integers
whole numbers

Lesson 7-8, pgs 289-294:
Scientific Notation

approximate age
billion years
scientific notation
product
two factors
greater than
or equal
power of ten
standard notation
decimal point
positive exponent
zero exponent
negative exponent
scientific calculator
multiplying powers
regroup
represented by
calculator display
degrees Celsius
helium atom
centimeters
kilometers
decimal system
Lesson 7-9, pgs 295-296:
Problem Solving Exploration
The Metric System

decimal point
write a rule
test a rule
metric system
length
meter
mass
gram
capacity
liter
prefix
kilo-
hecto-
deka-
basic unit
deci-
centi-
milli-
dekagram
decigram
kiloliter
milliliter
kilometer
millimeter
centigram
converting units
metric units

Lesson 7-10, pgs 297-300:
Estimating Products and Quotients of Decimals

estimate
rounding
nearest whole number
difference
estimated answer
calculated answer
a little less than
a little more than
fuel economy
miles per gallon
quotient
best describes
underestimate
overestimate

Chapter 8, Lessons 8-1 through 8-9:
Percent

Lesson 8-1, pgs 305-308:
The Meaning of Percent

write a ratio
to compare
denominator is 100
percent
proportion
division property
equality
numerator
denominator
variable

Lesson 8-2, pgs 309-312:
Decimals and Percents

prediction
percent chance
specific designed area
chances are that
percent
per hundred
hundredths
decimal
percent symbol
equivalent to

Lesson 8-3, pgs 313-316:
Estimating the Percent of a Number

yearly budget
million
multiple of
use fractions
estimate
fractional equivalents
is between
closer estimate
difference between
memorize table
best estimate
about how many
solve by estimation

Lesson 8-4, pgs 317-318:
Problem Solving Strategies
Deciding on Estimates

table
figures
average
estimate
bar graph
relative sizes
compare amounts
total daily usage
approximate
exact
area of
square miles
how accurate

Lesson 8-5, pgs 319-322:
Finding the Percent of a Number

estimate
practical use
expected to use
exact answer
nearest tenth
approximation
percent
decimal
actual percent
commission on sales
cannot be used
generalization
Lesson 8-6, pgs 324-328:
Interest

interest
money paid for
the use of money
borrow money
principal
rate of interest
percent of principal
yearly percent

computing
simple interest
rate-per-year
time-in-years
amount paid back
compound interest
money accumulated
compounded yearly

Lesson 8-7, pgs 330-333:
Discount

discount
amount subtracted
regular price
list price
rate of discount
sale price
amount of discount
net price
marked down
counterexample

Lesson 8-8, pgs 334-337:
Solving Percent Equations and Proportions

percent discount
original number
write an equation
write a proportion
let n equal
what percent of
what is 8% of

Lesson 8-9, pgs 338-341:
Percent Increase and Decrease

approximate
percent increase
ratio
amount of increase
original amount
percent decrease
whole percent

Unit 4, Chapters 9-11:
Using Graphs

Chapter 9, lesson 9-1 through 9-7:
Analyzing Data

Lesson 9-1, pgs 348-350:
Misleading Graphs

information
graphs
misinterpreted
horizontal scale
vertical scale
approximate
mileage
Dallas
Beaumont
Corpus Christi
missing information
four-month period
bar graph
line graph

Lesson 9-2, pgs 351-354:
Using Data from Graphs and Tables

organized in tables
inflation rate
estimate the cost
rate of increase

monthly payments
indicated rates
braking distance
presenting data

Lesson 9-3, pgs 355-357:
Organizing and Presenting Data

estimate
average time
frequency table
histogram
interval
tally
frequency
what percent
reasonable time

Lesson 9-4, pgs 359-362:
Measures of Central Tendency

most common
mode
average
mean
in the middle
median
measures of
central tendency
set of data
statistic
representative
typical number
assumed mean

Lesson 9-5, pgs 364-365:
Problem Solving Strategies
Analyzing Sample Data

salmon
freshwater stream
spawn
tagging
sample
total population
sample data
estimate size
make predictions
proportion
formula
substitute
known values
cross-multiply
simplify
good estimate
reliable sample

Lesson 9-6, pgs 366-369:
Stem and Leaf Plots

stem-leaf plot
highest score
lowest score
tens digit
stems
vertical line
units digit
leaf
plot

range interval
range difference
inauguration
histogram
Lesson 9-7, pgs 370-372:
Box and Whisker Plots

data
collected
organized
analyzed
box and whisker plot
central tendency
extremes
greatest value
least value
median above
upper quartile
lower quartile
extreme points
appropriate scale
what percent

Chapter 10, Lessons 10-1 through 10-7:
The Number Line

Lesson 10-1, pgs 377-381:
The Set of Real Numbers

decimal
digit
terminate
repeat a pattern
fraction
nonrepeating
infinite decimal
randomly
irrational number
the set of all
real numbers
corresponds
point
number line
one-to-one
correspondence
the graph of
open ray
not included
solution set
open circle
endpoint
closed circle
closed ray
all real numbers
inequality
replacement set
finite
comparison statements
decreased by one
Lesson 10-2, pgs 382-385:
The Addition Property of Inequality

strategy
inequality
logical reasoning
represent the unknown
let x represent
original amount
addition property
of inequality
if-then
solve and graph

Lesson 10-3, pgs 386-389:
The Multiplication Property of Inequality

multiplication
property
inequality
area
rectangle
square centimeters

Lesson 10-4, pgs 390-391:
Problem Solving Strategies
Using Generalizations

magic numbers
any integer
formed
generalization
special numbers
triangle
square
pentagon
entries in pattern
investigating

Lesson 10-5, pgs 393-397:
Solving Inequalities

understand problem
what question
what given
develop plan
strategy
carry out plan
represent unknown
think
write inequality
solve inequality
look back
check
reverse the symbol
consecutive numbers
whole numbers
multi-step process

Lesson 10-6, pgs 399-402:
Conjunctions

mathematics
the word "and"
join sentences
conjunctions
only if
both are true
graph the
solution set of
common to both
closed interval
intersection
open interval
empty set

Lesson 10-7, pgs 403-405:
Disjunctions

special meaning
in mathematics
the word "or"
disjunction
if either is true
either or both
union
chosen at random
Chapter 11, Lessons 11-1 through 11-8:
The Coordinate Plane

Lesson 11-1, pgs 410-413:
Coordinate Graphs

latitude
longitude
ordered pair
coordinate graph
rectangular
coordinate system
perpendicular lines
axes
origin
horizontal axis
x-axis
x-coordinate
vertical axis
y-axis
y-coordinate
right is positive
left is negative
up is positive
down is negative
quadrants
vertex
vertices

Lesson 11-2, pgs 414-417:
Graphing Linear Equations

function
let x represent
equation
ordered pair
solution
replacement set
set of real numbers
infinite number
pass through
graph the solution
straight line
linear function
Lesson 11-3, pgs 418-421:
The Standard Form of a Linear Equation

linear equation
graph is
straight line
standard form
represent integers
intercepts
x-intercept
y-intercept
crosses the axis
parallel to

Lesson 11-4, pgs 422-426:
The Slope of a Line

average
steepness
rate of change
nearly flat
slope
slope of a line
ratio
change
vertical units
horizontal units
as x increases by
change in corresponding
undefined slope
linear equation
two given points
perpendicular

Lesson 11-5, pgs 428-429:
Problem Solving Strategies
Revising the Solution

revise the solution
easier method
efficient method

Lesson 11-6, pgs 430-434:
Graphing Equations and Inequalities

coordinate plane
equation
slope
y-intercept
slope-intercept form
slope m
y-intercept b
rewrite the equation
draw the graph
graph of inequality
dashed line
half-plane
open half-plane

solid-line
shade the half-plane
closed half-plane


Lesson 11-7, pgs 435-439:
Problem Solving
Using Two Variables

solve equations
two variables
let x represent
let y represent
graph equations
same coordinate plane
intersect
solution to both
system of equations
solution of the system
solve by graphing

Lesson 11-8, pgs 440-443:
Translations

basic pattern
overall design
sliding
translating
units to the right
image point
translation
right is positive
upward is positive
translate
left is negative
downward is negative
geometric figure
original point
congruent figures
same size
same shape

Unit 5, Chapters 12-13:
Using Real Numbers

Chapter 12, Lessons 12-1 through 12-6:
Square Roots and Right Triangles

Lesson 12-1, pgs 450-451:
Problem Solving Exploration
Square Roots

area
square
square meters
s squared
good estimate
nearest thousandth
approximate
decimal places
square root
irrational number

Lesson 12-2, pgs 452-456:
Using Square Roots

square root
radical symbol
perfect square
positive root
whole number
simplify
expression
multiply radicals
product
denominator
rational expression
rationalize

Lesson 12-3, pgs 457-462:
The Pythagorean Theorem

Nile River
Egyptians
right triangle
square corner
ancient Greeks
Pythagoreans
Pythagorean Theorem
hypotenuse
legs
simplify radicals
Pythagorean Triples
segment
endpoints
translation
triangle
vertices

Lesson 12-4, pgs 463-464:
Problem Solving Strategies
Formulating Questions

how long is
how wide is
diagonal

Lesson 12-5, pgs 466-472:
Similar Triangles

similar triangles
indirectly
same shape
corresponding angles
equal measure
corresponding sides
same ratio
angle-angle-angle
AAA
proportion
cross-products
image-triangle

Lesson 12-6, pgs 474-480:
The Tangent Ratio

right triangle
acute angle
measure of
ninety degrees
similar triangles
proportions
decimal represents
ratio
right angle
opposite side
hypotenuse
legs
adjacent side
tangent ratio
tan A
tangent of angle
round nonterminating
four decimal places

Chapter 13, Lessons 13-1 through 13-9:
Polynomials

Lesson 13-1, pgs 485-490:
Adding Polynomials

rectangular
dimensions
perimeter
equation
combine like terms
monomial
binomial
polynomial
computation
tiles to model
x-tile
x-squared tile

positive tile
corresponding
negative tile
neutral pair
coefficients
constant terms
counterexample
equivalent
expression
expanded
simplify

Lesson 13-2, pgs 491-493:
Subtracting Polynomials

model subtraction
of polynomials
use tiles
remove tiles
x-squared tiles
the opposite of
each term of
like terms
missing variables
coefficient of zero

Lesson 13-3, pgs 494-495:
Problem Solving Exploration
Using a Multiplication Model

grid
rectangle
product
polynomial

Lesson 13-4, pgs 496-500:
Multiplying Binomials

product
monomial
binomial
rectangle
dimensions
diagram

Lesson 13-5, pgs 501-502:
Problem Solving Strategies
Too Much/Too Little Data

information
clue
not enough
can't tell
divide evenly
ratio of
square of
average speed
value of
integers

Lesson 13-6, pgs 504-507:
Using the Distributive Property

distributive property
find the product
generalization
two binomials
vertical arrangement
FOIL method
first terms
outside terms
inside terms
last terms
shaded region

Lesson 13-7, pgs 508-511:
Special Products

use a model
distributive property
FOIL method
trinomial
perfect square
pattern
binomials
sum and difference
same two terms


Lesson 13-8, pgs 512-515:
Common Factors

to factor
an expression
as a product
polynomial
common factor
factor out
greatest common factor
distributive
terms
original binomial
common binomial factor
GCF
monomial factor
rational expression
lowest terms

Lesson 13-9, pgs 516-519:
Factoring a Trinomial

product of
two binomials
factor
trinomial
last term
middle term
numerical coefficient
complete the pattern
pair of integers
quadratic
quadratic trinomial
coordinate plane
linear graph
solution set

Unit 6, Chapters 14-15:
Using Equations
Chapter 14, Lessons 14-1 through 14-7:
Equations in Geometry

Lesson 14-1, pgs 526-531:
Angles and Angle Measures

plane
flat surface
set of points
angle
plane figure
rays
endpoint
common endpoint
vertex
angle ABC
measured in
degrees
protractor
classify
right angle
acute angle
obtuse angle
pair of angles
complementary
supplementary
ninety degrees
one hundred eighty
point of intersection

Lesson 14-2, pgs 532-536:
Parallel and Perpendicular Lines

intersect
single point
be parallel
right angles
perpendicular
opposite angles
vertical angles
supplementary
complementary
transversal
exterior angles
interior angles
corresponding angles
are equal
congruent
alternate interior
alternate exterior
logical argument
segment
conjecture

Lesson 14-3, pgs 437-438:
Problem Solving Strategies
Extending Patterns

design
turned ninety degrees
identify pattern
sequence of
geometric figures
extend the sequence
visualize
next figure

Lesson 14-4, pgs 539-544:
Triangles

endpoints
triangle
rigid figure
sides
segment
measure of
classified
equiangular
right
acute
obtuse
scalene
isosceles
equilateral
triangle sum
one hundred eighty
degrees
protractor
generalization
opposite sides
equal measures
exterior angle
remote interior
parallel lines
intersected by
transversal
corresponding angles
alternate interior
equal measure

Lesson 14-5, pgs 546-550:
Polygons

simple closed curve
crossing itself
line segments
polygon
triangle
quadrilateral
pentagon
hexagon
octagon
parallelogram
rectangle
square
rhombus
trapezoid
vertices
diagonal
vertex
degrees
regular polygon
same length
same measure

Lesson 14-6, pgs 551-556:
Circumference and Area

shape of a
circle
set of points
in a plane
same distance
center
segment
radius
chord
diameter
distance around
circumference
ratio
pi
3.14
22/7
approximation
irrational number
pi d
2 pi r
area of circle
pi r squared
units
square units
square centimeters

Lesson 14-7, pgs 558-561:
Circle Graphs

percent of
each kind
survey
circle graph
non-overlapping
sections
whole circle
three hundred sixty degrees
one hundred percent
compass
protractor
center of circle
vertex of angle
labelled graph
pie-shaped region
amount budgeted
tally sheet
Chapter 15, Lessons 15-1 through 15-15-8:
Volume and Surface Area

Lesson 15-1, pgs 566-567:
Problem Solving Exploration
Surface Area and Volume

rectangles
centimeter
graph paper
surface area
x units long
y units wide

Lesson 15-2, pgs 568-571:
Volume of a Rectangular Prism

prism
base
polygon
lateral face
triangular
rectangular
pentagonal
hexagonal
octagonal
rectangular prism
volume
space occupied
determined by
cubic units
multiply by
number of layers
dimensions
cubic feet
area of base
volume is
length times
width times
height
cubic meters
cube
s cubed
cubic yards
Lesson 15-3, pgs 572-575:
Surface Area of a Rectangular Prism

rectangular prism
face
base
surface area
cube
cubical box
six s squared
minimum amount

Lesson 15-4, pgs 576-580:
Volume of a Cylinder

cylinder
right cylinder
circles
bases
radius
height
perpendicular distance
form is rigid
circumference
parallelogram
approximate
prism
pie-shaped
wedges
area of base

pi r h squared

Lesson 15-5, pgs 582-585:
Volume of a Pyramid

Egyptian pyramids
2600 B.C.
pyramid
vertex
lateral face
vertex
faces
intersect
triangles
polygon
TransAmerica Building
perform experiment
compare volume
congruent base
one-third B h

Lesson 15-6, pgs 586-589:
Volume of a Cone

cone
properties
base
vertex
height
line segment
perpendicular to
volume
one-third pi r squared h
3.14

Lesson 15-7, pgs 590-591:
Problem Solving Strategies
Making a Model

patterns
models
three-dimensional
figures
cube
triangular pyramid
square pyramid
straight line
perpendicular line
radius
circumference
pi
semicircle
cone

Lesson 15-8, pgs 592-595:
Volume and Area of a Sphere
sphere
least surface area
given volume
spherical object
mathematician
Archimedes
volume of sphere
four-thirds pi r cubed
surface area
four pi r squared
radius
hemisphere
Mercury
inequality

Phrase Guide for Algebra 1, Nichols, et. al., Holt, 1986.
Ernie's computer, file=c:
\wp51\docs\algebra1.gui. 6-9-95, dml.

Chapter 1, Sections 1.1 - 1.8:
Operations, Variables, Formulas

Section 1.1, pgs 1-3:
Rules for Order of Operations

objective
simplify
numerical expressions
rules
order of operations
grouping symbols
multiplication
times sign
raised dot
parentheses
brackets
numerator
denominator

Section 1.2, pgs 4-6:
Expressions with Variables

evaluate
algebraic expressions
variables
terms
numerical
coefficients
represent the number
replaced by numbers
substitute

Section 1.3, pgs 7-9:
The Commutative and Associative Properties

recognize
commutative
associative
properties
product
operations
computations
rewrite
regrouped
illustrated
prove
justify

Section 1.4, pgs 10-12:
The Distributive Property

distributive
multiplier
terms

Section 1.5, pgs 13-15:
Combining Like Terms

simplify
algebraic
expressions
combining
like terms
evaluate
variables
multiplicative
identity
coefficients
numerical
distributive
understood to be
complex expression
rearrange terms
grouped together

Section 1.6, pgs 16-17:
Factors and Exponents

exponents
product
factor
base
whole number
power of
natural number
raise to a power

Section 1.7, pgs 18-19:
Formulas in Geometry

formula
perimeter
area
geometric figure
rectangle
distance around
square
triangle
area
unit squares
square centimeters
trapezoid

Section 1.8, pgs 21-22:
Recognizing Solutions of Open Sentences

solution
open sentence
true sentence
false
indicated value
algebraic sentence
variable

Chapter 2, Sections 2.1 - 2.13:
Real Numbers

Section 2.1, pgs 28-31:
Integers and the Number Line

coordinates
points
graphed
number line
compare integers
absolute value
origin
zero
positive
right
negative
left
sets of numbers
represented
listing members
three dots
go on forever
natural numbers
counting numbers
whole numbers
integers
shaded arrows
order
inequality
less than
greater than
compute
evaluate

Section 2.2, pgs 32-33:
Real Numbers

identify
numbers
rational
irrational
division by zero
undefined
integers
not zero
terminating decimal
repeating decimal
nonzero digit
block of digits
nonterminating
nonrepeating
real numbers

Section 2.3, pgs 34-36:
Adding Real Numbers

positive direction
negative direction
absolute value
same sign
different signs
even integers
odd integers
closed under
closure property
of addition

Section 2.4, pgs 37-39:
Properties for the Addition of Real Numbers

additive inverse
opposite
commutative
associative
additive identity
property of addition
associative

Section 2.5, pgs 40-43:
Multiplying Real Numbers

to subtract
add the opposite
definition
Section 2.6, pgs 41-43:
Multiplying Real Numbers

product of
two positives
is a positive
property of zero
commutative
associative
positive and negative
is a negative
two negatives
is positive
closure property
unique real number
like signs
positive product
different signs
negative product

Section 2.7, pgs 44-46:
Dividing Real Numbers

multiplication
division
inverse operations
quotient of
like signs
is positive
different signs
is negative
division by zero
undefined
reciprocal
multiplicative inverse
nonzero
unique real number
division rule
multiplication by
the reciprocal
quotient
expressed as
a product
Section 2.8, pgs 47-48:
Shortcuts in Adding and Subtracting Real Numbers

enclosing the
addends
in parentheses
associative
commutative
group numbers
like signs
interpreted
innermost parentheses
volume
rectangular solids
pyramids

Section 2.9, pgs 49-50:

Evaluating Algebraic Expressions

simplify
evaluate
algebraic
expressions
negative value
two variables
distributive

Section 2.10, pgs 51-52:
Like Terms with Real Number Coefficients

combining like terms
real number coefficients
distributive property
unlike terms
evaluate

Section 2.11, pgs 53-54:

Multiplication Properties of 1 and -1

product of
positive one
any number
multiplicative identity
prove
negative one
opposite of the

Section 2.12, pgs 55-57:
Simplifying Expressions Containing Parentheses

simplify
evaluate
algebraic expressions
containing parentheses
distributive property

Section 2.13, pgs 58-59:

Subtracting Algebraic Expressions

subtract
algebraic
expressions
multiplication
property
of negative one
distribute
subtract from
from something subtract
subtract the opposite

Chapter 3, Sections 3.1 - 3.7:

Equations:
An Introduction

Section 3.1, pgs 64-66:

Solving Equations:
x+ b=c

equation
mathematical sentence
equal
numerical
algebraic
expression
solve equation
true statement

add same
each side
equivalent equations
addition property
for equations
undo the operation
add the opposite
subtraction property
form
x+ b=c

Section 3.2, pgs 67-68:

Solving Equations:
ax=c; x/a=c

division property
multiplication property
undo this operation
multiply each side
divide each side
nonzero

Section 3.3, pgs 69-71:
Solving Equations:
ax+b=c; x/a+b=c

equivalent equations
x alone
two undoings
combine like terms
variable term
first step
to each side
solve and check

Section 3.4, pgs 72-73:

Conditionals in Logic
conditional
logic
hypothesis
conclusion
if-then form
implication
implies
true
false
truth table

Section 3.5, pgs 74-75:
The Language of Algebra

translate
English phrases
mathematical form
mathematical symbols
indicate
various operations
word problems
key phrases
decreased by
made smaller by
subtraction
increased by
made greater by
addition
let a variable
represent the number
less than
more than
twice a number
times a number
divided by

Section 3.6, pgs 76-79:
Steps for Solving Word Problems

four basic steps
solve word problems
read
identity given
what to be found
plan
analyze information
represent data
write equation
solve equation
interpret
check solution
decide reasonable
arranged compactly

Section 3.7, pgs 80-81:
Proving Statements

properties
real numbers
assumed true
operation
commutative
associative
identity
negative one
inverse
distributive
equality
reflexive
symmetric
transitive
substitution
replaced by
definitions
prove
truth
theorem
statement
reason
validity

Chapter 4, Sections 4.1 - 4.7:

Equations and Word Problems

Section 4.1, pgs 86-88:
Equations with Variables on Each Side

solve equations
variable term
on each side
add the opposite
combine like terms

Section 4.2, pgs 89-91:
Equations Containing Parentheses

solve equations
containing parentheses
remove parentheses
distributive property
combine like terms
sum
is the same as
circumference
circle
radius
diameter
pi

Section 4.3, pgs 92-95:

Number Problems

word problem
sentence
express relationship
variable represents
in terms of
let x equal
read
plan
solve
interpret
their sum is
separate into two parts
representation
basis of comparison
the smaller of
Section 4.4, pgs 96-99:

Equations with Fractions

with fractions
transform
without fractions
multiply by
the reciprocal
product is one
most efficient
only one term
least number
divisible by
denominators
least common multiple
LCM

Section 4.5, pgs 100-102:
Equations with Decimals

equations that
contain decimals
multiply by 10
equivalent to
move decimal point
respectively
decimals as fractions
LCM
convenient technique
digits to the right

Section 4.6, pgs 103-105:

Using Algebra in Percent Problems

percent
per hundred
to a decimal
percent of is
is what percent of
decimal equation
selling price
profit
cost
inflation

Section 4.7, pgs 106-108:

Perimeter Formulas

draw a picture
perimeter
distance around
formula
2L+2W
rectangle
represent the
length
width
representation
triangle
isosceles
congruent
sides
legs

				
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