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Accuplacer Flash Cards (Math)
Algebra Geometry etc for Accuplacer
44
Mathematics
Undergraduate 1
03/12/2009

Additional Mathematics Flashcards

 


 

Cards

Term
"0 Slope" horizontal or vertical?
Definition
Horizontal
Term
Percent to a decimal?
Definition
Move the decimal point 2 places to the Left and remove the percent sign.
Term
What is standard form?
Definition
Ax +By=C
Term
What does "O" in the numerator mean? means
Definition
undefined-can't divide by zero-no slope (vertical)
Term
If you are given 2 points what do you do?
Definition
m(slope)= y2-y1, x2-x1 then take one of your points and put it into point-slope form
y-y1=m(x –x1) then put the equation into standard form Ax +By=C
Term
In standard form can you have any fractions?
Definition
No
Term
What makes an equation of a line parallel to another line?
Definition
same slope
Term
What makes a line perpendicular?
Definition
The slope is the negative reciprocal e.g. 1/2 -2/1
Term
What do you do if there is a radical in the denominator of a fraction?
Definition
Multiply top and bottom by the the number in the radical to get rid of it.
Term
What do you do if you find you have a zero in the denominator, when you are looking for slope?
Definition
Grab the x coordinate from one of the points
Term
If you square root one side? what else do you have to do?
Definition
Square root the other side with plus or minus and break into 2 seperate equations if needed.
Term
What is Sine?
Definition
Opposite over Hypotenuse
Term
What is Cosine?
Definition
Adjacent over Hypotenuse
Term
What is Tangent?
Definition
Opposite over Adjacent
Term
How do you get circumference of a circle?
Definition
C=Diameter times 3.14 or 22/7
Term
How do you get area of a triangle?
Definition
One half base times height
Term
How do you get Area of a Parallelogram?
Definition
Base time Height
Term
How do you get Area of a Trapezoid?
Definition
Area equals(Base1+Base2)(Height)(1/2)
Term
What is the Domain of a relation?
Definition
It is the set of all the X terms.
Term
What is the Range of a relation?
Definition
The set of all the Y terms.
Term
How do you define a Function?
Definition
Each X Term corersponds to 1 Y Term
Term
If a jar contains 13 red marbles and 7 green marbles, what is the probability that a marble selected from the jar at random will be green?
Definition
7/20 7(desired marbles)/divided by 20(total nuber of marbles [7 +13])
Term
How do you calculate midpoint for two points on a graph?
Definition
Use the formula:
(x1 + x2) ÷ 2 , (y1 + y2) ÷ 2
Term
What is the square root of -1?
Definition
The imaginary number "i".
Term
What is i to the second power?
Definition
-1
Term
The average weight for a group of 20 women is 130 pounds. If the average weight for 3/4 of these women was 140 pounds, what was the average weight, in pounds, for the rest of the women?.
A. 100
B. 110
C. 120
D. 135
Definition
Answer :A 100 pounds
Term
What is point slope form?
Definition
y-y1=m(x-x1)
Term
An equation of the line that contains the origin and the point (1, 2)is?

A. y = 2x
B. 2y = x
C. y = x –1
D. y = 2x +1
E. y2 = x – 1
Definition
A. y = 2x
Term
Decimal to a Percent?
Definition
Move the decimal point 2 places to the right and add the percent sign.
Term
How do you covert a decimal to a fraction (1.19)?
Definition
Make it a mixed number 1 19/100 according to the power of the decimal 10's 100's 1000's etc
Term
What is the hypotenuse of a 45,45 90 degree triangle?
Definition
One leg times "Root 2"
Term
What is the length of the long leg in a 30,60,90 degreee triangle?
Definition
"Root 3" times the length of the short leg(the leg opposite the 30 degree angle).
Term
What is the length of the hypotenuse in a 30,60,90 degree triangle?
Definition
"2 times" the length of the short leg
Term
How do you get Area of a circle?
Definition
Pi times Radius Squared
Term
What is a permutation?
Definition

An arrangement of objects where the order matters.

 

3p2=apc=3x2x1 but choose the first two factors in the factoral

Term
What is a combination?
Definition
It is an arrangement where the order does not matter. 4C3 Do a factoral of 4 then divide by a literal factoral of 3 4x3x2x1/ 3x2x1
Term
How do you get the VOLUME of a sphere?
Definition
4/3rds times Pi times Radius cubed
Term
How do you get AREA of a sphere?
Definition
(4)(pi)(R2)
Term

What is wrong with this imaginary numbers fraction?

 

13

5i

Definition
You can't have an imaginary number in the denominator of a fraction. Get rid of the "i" by multiplying by i over i
Term
How do you solve for X using a system of equations?
Definition
Cancel the Y term out and solve result x=?
Term
How do you figure out a point of intersection using a system of equations?
Definition
Solve for one term then substitute that value into the first equation and solve for the other value then you have your twpo points. x=2 y=4
Term
log327=
Definition

3rd power log327=3

33=27

Term
log5125=
Definition

3 (3rd power) log5125=3

53=125

Term
What is the formula for distance?
Definition

 

 

 

 

 

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