Study your flashcards anywhere!
Download the official Cram app for free >
 Shuffle
Toggle OnToggle Off
 Alphabetize
Toggle OnToggle Off
 Front First
Toggle OnToggle Off
 Both Sides
Toggle OnToggle Off
 Read
Toggle OnToggle Off
How to study your flashcards.
Right/Left arrow keys: Navigate between flashcards.right arrow keyleft arrow key
Up/Down arrow keys: Flip the card between the front and back.down keyup key
H key: Show hint (3rd side).h key
A key: Read text to speech.a key
146 Cards in this Set
 Front
 Back
What is Order of Operations?

1) Do all operations within grouping symbols first; start with the innermost group
2) Do all multiplication and Division from left to right. 3) Do all addition and subtraction from left to right 

Define an algebraic expression.

A combination of variables, numbers and at least one operation.


What is a variable?

In algebra a placeholder is called a variable. Variables are usually letters.


Substitution Property of Equality

For all numbers a and b, if a=b, then a may be replaced by b.


Commutative Property of Addition

The order in which numbers are added does not change the sum. 5+3=3+5


Commutative Property of Multiplication

The order in which numbers are multiplied does not change the product. 2*4=4*2


Associative Property of Addition

The way in which addends are grouped does not change the sum. (2+4)+6=2+(4+6)


Associative Property of Multiplication

The way in which factors are grouped does not change the product. (6*3)*7=6*(7*3)


Identity Property of Addition

The sum of an addend and zero is the addend. 6+0=6


Identity property of multiplication.

The product of a factor and 1 is the fsctor. 6*1=6


Distributive property

The sum of two addends multiplied by a number is the sum of the product of addend and the number.
a(b+c)=ab+ac and (b+c)*a=ba+ca 

What are like terms?

Two or more terms with the same variable. 3st, 5st are like terms. So are 17d, 14d and 67d.


What is an equation? An Open sentence?

A mathematical sentence like 17+4=y is an equation. An equation containing variables is an open sentence. When variables in an open sentence are replaced by numbers the sentence may be true or false.


How do we locate points in mathematics?

Using a coordinate system


How is a coordinate system formed?

By the intersection of two number lines that meet at their zero points.


In a coordinate system what is origin?

The zero points where two number lines intersect.


In a coordinate system what are the horizontal and vertical axis called?

Horizontal is called the xaxis and vertical is called the yaxis


How do you graph a point in a coordinate sytem?

Using an ordered pair.


The first number in an ordered pair is the __ axis and the second number is the __axis.

x,y


The inverse operation of addition is______.

subtraction


The inverse operation of multiplication is _______.

division


Inverse operations are helpful for ____.

solving equations


What does it mean to define a variable?

Using an equation is an importnat problem solving strategy. The first step to writing an equation is to choose a vaiable and a quantity for the variable to represent. This is called defining a variable.


What is an inequality?

A mathematical sentence that contains < or >.


Which of these inequalities are true, false, or open? 18>3, 9<5, t<75

false, true, open until the variable is replaced by a number.


What is statistics?

collecting, analyzing, and presenting data


Bar graphs and frequency tables are used for what purpose in statistics?

To present data


In surveys where you want to represent the entire population without actually polling the entire population you can use a _____ group to represent the whole.

sample


An expression is in simplest form when it contains no ____ terms and no_____.

like, parentheses


What is a negative number?

A number less than zero.


What is absolute value? Give an example.

The distance the number is from the zero point on the number line. [4] is 4, [4] is 4.


In statistics what are ouliers and what are clusters?

An outlier is data far apart from the rest of the data and clusters are data grouped closely together.


The coordinate plane can be seprated into four regions called ______?

quadrants


What are the steps to adding integers with the same signs?

Add their absolute values and give the result the same sign.


What are the steps to adding integers with different signs?

Subtract their absolute values and give the result the same sign as the integer with the greater absolute value.


What is an additive inverse?

An integer and its opposite are additive inverses of each other.


Additive Inverse property

The sum of an integer and its additive inverse is zero. 4+(4)= 0. x+(x)=0.


Describe the method for subtracting integers and give an example.

To subtract an integer add its additive inverse.
35=3+(5), ab=a+(b) 

Descibe the Fibonacci Sequence. What are the first ten numbers of the Fibonacci?

A pattern of numbers beginning with 1, 1 whose subsequent numbers are the sum of the previous two terms. 1,1,2,3,5,8,13,21,34,55.


The product of integers with differnet signs is always _______?

negative


The product of two integers with the same sign is _____?

positive


The quotient of two integers with different signs is ________?

negative


The quotient of two integers with the same sign is ______?

positive


What is a vertex?

a point where two sides of a polygon intersect.


How is eliminating possibilities different from guess and check?

By eliminating possible answers you can arrive at the correct answer which is different than substituting each answer into the equation to see which one is correct?.


What is the Subtraction Property of Equa;ity and when is it used?

It is used to solve equations. If you subtract the same number from each side of an equation, the two sides remain equal. If a=b, then ac=bc.


Some equations can be solved using the Addition property of equality. what is it?

If you add the same umber to each side of an equation, the two sides remain equal. If a=b, then a+b=b+c.


Division property of Equality

If you divide each side of an equation by the same nonzero number, the two sides remain equal.
if a=b, then a/c=b/c, where c does not equal 0 

Multiplication Property of Equality

If you multiply teach side of an equation by the same number, the two sides remain equal. if a=b, then a*c = b*c.


What is a formula?

A formula shows the relationship among certain quantities.


What is the formula used to compute the miles per gallon achieved by a car?

miles/gallons=miles per gallon or
m/g=mpg 

The distance around a geometric figure is called its _________?

perimeter


The measure of the surface enclosed by a geometric figure is its

area


What is the formula for the perimeter of a rectangle?

P=2(l+w), the perimeter is twice the length of the length and width


What is the formula for the area of a rectangle?

A=lw


Addition and Subtraction Properties of Inequalities

Adding or subtracting the same number from each side of an inequality does not change the truth of the inquality.
If a>b, then a+c>b+c and ac>bc 

Multiplication and Division properties of Inequalities

When you multiply or divide each side of an inequality by a positive integer, the results remain true. if a.b, then a*c>b*c, where c>0 and a/c>b/c


Multiplication and Division Properties of Inequalities

When you multiply or divide each side of an inequality by a negative integer, you must reverse the order symbol. If a>b, then a*c,b*c and a/c<b/c, where c<0


What is the four step plan?

Explore What do we know and what do we need to find out,
Plan Translate words into equation and define variables, Solve, Examine check your answer. 

What are equivalent equations

Equations that have the same solution


atrium, atrio

atrium, entry hall


canis

dog


coquus

cook


cubiculum

bedroom


culina, culino

kitchen


est

is


filius

son


hortus, horto

garden


in

in, on


laborat

works, is working


mater

mother


pater

father


sedet

sits, is sitting


servus

slave


tablinum, tablino

study


triclinium, triclinio

dining room


via

street


dormit

sleep


bibit

drink


iratus

angry


circumspectat

look around


stat

stand


et

and


stertit

snoring


clamat

shout, exclaim


cibus

food


mensa

table


familia

family


in mensa

on the table


pestis

pest


furcifer

scoundrel


scribit

write


intrat

entering


spectat

looking


salit

jump


latrat

bark


surgit

rising


exit

exit


amicus

friend


ancilla

slavegirl


cena

dinner


dominus

master


gustat

taste


laetus

happy


laudat

praises


mensa

table


mercator

merchant


quoque

also, too


salutat

greets


toga

toga


tunica

tunic


visitat

visiting


villam

house


pecuniam

money


numerat

counting


argentarius

banker


salve

hello


respondet

replies


in lecto

on a couch


recumbit

reclines


cantat

singing


pavonem

peacock


coquit

is cooking


audit

hears, listens to


non est

is not


cenam

dinner


exspectat

is waiting for


vituperat

tells off, curses


portat

is carrying


vinum

wine


optimus

very good, excellent


suaviter

sweetly


delectat

pleases


mox

soon


et

and


videt

sees


consumit

eats


magnifice

in style, magificently


cenat

eats dinner, dines


laetissimus

very happy


paratus

ready


anxius

anxious


vocat

call


non

no


irratissimus

very angry


bonus

good
