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Chapter 1
Sullivan and Struve
42
Mathematics
Undergraduate 1
06/12/2008

Additional Mathematics Flashcards

 


 

Cards

Term

 

 

In a given expression, the domain of a variable is

Definition

 

 

 

those values that the variable

is allowed to be in that expression

Term

When you solve an equation

and the variable disappears

leaving you with a true statement

like 0 = 0

 

it is called a(n)

 

Definition

 

 

Identity

Term

When you solve an equation

and the variable disappears

leaving you with a false statement

like 2 = 0

 

it is called a(n)

Definition
Contradiction
Term
Any time you have both a fraction and an equal sign, you must ...
Definition
multiply every term by a common denominator
Term
How would you represent 3 consecutive integers
Definition

 first = x

second = x + 1,

third = x + 2

Term
How would you represent 3 consecutive even integers
Definition

first = x

second = x + 2

third = x + 4

Term
Consecutive odd integers
Definition
"x, x + 2, x + 4 …"
Term
In a story problem, the word "than"
Definition
reverses the order
Term
Last step of every story problem
Definition
make sure you answered the question!
Term
Comparison problems, make x
Definition
the second thing mentioned
Term
When using boxes to solve story problems, multiply
Definition
across
Term
When using boxes to solve story problems, add
Definition
down
Term
Rate x Time =
Definition
Distance
Term
Formula for the area of a rectangle
Definition
length x width
Term
Sum of the measures of the angles in a triangle
Definition
180
Term

 

 

The value of a pile of X dimes is

Definition

 

 

.10X

Term
The value of a pile of nickels
Definition
number of coins x .05
Term
The value of a pile of quarters is
Definition
number of coins x .25
Term
To evaluate a formula
Definition
substitute (bird's nest)
Term
If you multiply or divide an inequality by a negative
Definition
flip the arrow
Term
3 < x is the same thing as
Definition
x > 3
Term
To graph x < 5, darken the arrow head on the number line that points
Definition
left
Term
To graph x > 3, darken the arrow head on the number line that points
Definition
right
Term
To graph x < 5, the endpoint of the ray will be
Definition
)
Term
To graph x > 3, the endpoint of the ray will be
Definition
(
Term
If you use extra ink to make an equal sign under the inequality, to make the endpoint of the ray use
Definition
[ or ]
Term
To solve compound inequalities involving OR, picture the figure
Definition
EleanOR the ice skater
Term
To solve compound inequalities involving AND, picture the figure
Definition
ANDY the tank engine
Term
Union of two sets, is the word AND or OR?
Definition
OR
Term
Intersection of 2 sets, is the word AND or OR
Definition
AND
Term
Compound inequalities involving OR, the graph will be
Definition
either shooting arrow(s) or whole number line
Term
Compound inequalities involving AND, the graph will be
Definition
a barbell, a point, or the empty set (no solution)
Term
Two types of problems that give answers that are shooting arrows
Definition
EleanOR and absolute value >
Term
Two types of problems that give answers that are barbells
Definition
ANDY and absolute value
Term
What number can never be on the bottom of a fraction?
Definition
zero
Term
In absolute value problems, how many answers do you usually expect?
Definition
2 answers
Term

|Absolute value| < negative

 

What is the answer?

Definition

 

 

No solution

Term
Absolute < 0 What is the answer?
Definition
No solution
Term
Absolute > negative What is the answer?
Definition
All real numbers
Term
Absolute > 0 What is the answer?
Definition
All real numbers
Term
Absolute = 0, no exponents How many answers do you expect?
Definition
one answer
Term
What 2 things do you do to solve absolute value inequalities?
Definition
Stuffing-copy-copy and stuffing-flip-neg
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