Cset Subtest 2 Mathematics

Front 1

Commutative Property

Back 1

a + b = b + a

Front 2

Associative Property

Back 2

(a+b) + c = a + (b + c)

Front 3

Distributive Property

Back 3

a(b+c) = ab+ac

Front 4

Additive Property

Back 4

a+0 = a

Front 5

Multiplicative Identity

Back 5

a x 1 = a

Front 6

Adjacent Angle

Back 6

Two angles with a common vertex and a common side, but no common interior points.

Front 7

Right Angle

Back 7

An angle whose measure is 90 degrees.

Front 8

Obtuse Angle

Back 8

An angle whose measurement is larger than 90 but less than 180.

Front 9

Straight Angle

Back 9

An angle whose measure is 180. (a straight line)

Front 10

Reflex Angle

Back 10

Angle whose measure is greater than 180, but less than 360.

Front 11

Complimentary Angle

Back 11

Two angles whose measures total 90.

Front 12

Supplementary Angles

Back 12

Two angles whose measure is 180.

Front 13

Congruent Angles

Back 13

Angles of equal measure.

Front 14

Perpendicular

Back 14

Angles that intersect and form 2 right angles.

Front 15

Scalene Triangle

Back 15

Triangle with no equal sides.

Front 16

Isosceles Triangle

Back 16

A triangel having at least 2 equal sides.

Front 17

Sum of Interior angle of a Triangle

Back 17

180.

Front 18

Obtuse Triangle

Back 18

A triangle with one obtuse angle greater than 90.

Front 19

Acute Triangle

Back 19

A triangle with three acute angles (less than 90.)

Front 20

Right Triangle

Back 20

A triangle with a right angle.

Front 21

Exterior Angle of any Regular Polygon of n sides.

Back 21

360/n degrees

Front 22

Compound Interest

Back 22

P(1+r/n)nt
or
FV=PV(1+I)nt
Future Value=Present Value(1 = Interest)nt
P is the principal (the money you start with, your first deposit)
r is the annual rate of interest as a decimal (5% means r = 0.05)
n is the number of years you leave it on deposit
A is how much money you've accumulated after n years, including interest.
If the interest is compounded once a year:
A = P(1 + r)n
If the interest is compounded q times a year:
A = P(1 + r/q)nq

Front 23

Interest

Back 23

I=prt

Front 24

Area of a Cylinder

Back 24

A = 2 pi r ^ 2+ 2 pi rh
or
SA= (Base-per)h +2 (Base-area)
** Have to remember that Cylinders are circles so Per means circumference of a circle and Area means area of a circle.

Front 25

Volume of a Cylinder

Back 25

Base-Area X Height
or
V= pi r ^2 h

Front 26

Permutations

Back 26

Calculating the number of ways a task can be arranged or ordered.
Order DOES matter.

Order of arrangements of r objects
n+n!/n-r)! (without repetition)

Front 27

Combinations

Back 27

Order does not matter.
The number of ways of selecting r objects from n unlike objects is:
Example
There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random. How many different ways are there of selecting the three balls?

10C3 =10!=10 × 9 × 8= 120
3! (10 – 3)!3 × 2 × 1
n!/n!(n-r)!

Front 28

Slope Formula

Back 28

M=y(2)-y(1)/x(2)-x(1)

Front 29

Equation of a line with Points

Back 29

*Use y intercept formula
y=mx+b
m=slope
b=y intercept
1. Graph the 2 pts.
2. Draw the line
3. Find slope using slope formula
4. Plug in # to equation

Front 30

Area of Square

Back 30

A= l * h
or
A= 1/2d^2

Front 31

Distance Between given Coordinates

Back 31

AB=sqroot (X(A) - X(B))^2 + (Y(A) - Y(B))^2

Front 32

Distance

Back 32

D=rt
t=d/r
r=d/t

Front 33

Sum of two consecutive integers

Back 33

n+(n+1)=

Front 34

Mark up Price

Back 34

1. Subtract to find the difference.
2. Ask yourself: What percentage above price is a markup?

EX: difference=original price(x)
3. Remember to move the decimal two places to the right to convert to percentage.

Front 35

Trapezoid

Back 35

P= b(1) + b(2) + x + y
A= h(b(1) + b(2)/2

Front 36

Circle

Back 36

C=2 (pi) r
A=(pi) r^2

Front 37

Cube

Back 37

SA=6 a^2
V=a^3

Front 38

Rectangular Prism

Back 38

SA=2(lw+lh+wh)
V= lwh

Front 39

Sphere

Back 39

SA= 4 (pi) r ^2
A=4/3 (pi) r^3

Front 40

Using the Proportion Method to Solve Percent Problems

Back 40

part / whole = % / 100

Front 41

Percentage Increase or Decrease

Back 41

Change/Starting point X 100 = percentage change

EX: What is the percentage increase of Jon's salary if it went from $150 per day to $200 per day?

200-150=50
50/150 X 100 = 1/3 X 100 = 33 1/3%

Front 42

Natural Numbers

Back 42

A set of integers starting with 1 and increasing.
1,2,3,4,5,6,7

Front 43

Whole Numbers

Back 43

The set of integers starting with 0 and increasing:
0, 1, 2, 3, 4, 5, 6

Front 44

Negative Integers

Back 44

The set of integers starting with
-1, -2, -3, -4.

Front 45

Rational Numbers

Back 45

Any ordinary number of arithmetic.

Front 46

Irrational Numbers

Back 46

Any value that exists that is not rational. (SQ Root) of 2 or pi (3.14)

Front 47

Real numbers

Back 47

All rational and irrational numbers.

Front 48

Prime Numbers

Back 48

A natural number greater than 1 and that only has 1 and itself as a divisor. 2,3,7,11,13

Front 49

Composite Numbers

Back 49

A natural number greater than 1 that is not a prime number. (Has at least 3 different divisors) 4, 6, 8,9,10, 12,14, 15.

Front 50

Square Numbers

Back 50

The result of taking integers and raising them to the 2nd power.
1, 4, 9, 16, 25, 36

Front 51

Cube Numbers

Back 51

The result of taking integers and raising them to the 3rd power (cubing them)
1,8, 27, 64, 125, 216, 343

Front 52

work

Back 52

1/x + 1/y = 1/z


If Alex can build a house in 2 days and his apprentice Bob can build a house in 3 days, then how long will it take Alex and Bob to build a house when they are working together?
Putting the information from the question into the formula gives us
1/2 + 1/3 = 1/Time working together.