Math Review_Rubio_Notes #5

Fractions are Part of One Whole
If the answer is a ratio, how many numbers do I need? 2
What kind of problem gives information about TWO things & then asks questions about the SAME TWO things? Proportion
a. What do I draw on my paper when I have an equivalent problem with missing information? _______=_______
b. What do I put on the left line? Put the INFORMATION YOU KNOW on the left line.
c. How do I work/finish the problem? Cross Multiply and Divide

Math Review_Rubio_Notes #7-11

Percentage is a Part of 100
Every fraction/decimal/percent can be written as fraction/decimal/percent.
What are the three parts of a percentage problem? Part Base Rate
Triangles Part (piece of whole is)
Formula ?Base X Rate (whole /of) (percent sign)
Percent of Increase/Decrease Subtract and Divide by Original Shift = Interest
Area L X W (square units) = 2
Volume L X W X H (cubic units) = 3
Median Middle number. Order numbers first
Mode Number repeated most often

Math Review_Rubio_Notes #6

Decimals are A Part of One
Every fraction/decimal/percent can be written as A fraction/decimal/percent
Change fraction to decimal by Top Number Divided By Bottom Number
Change decimal to fraction by Read It Write It Reduce It
1/4 = .25
1/2 = .5
3/4 = .75
1/3 = .333
2/3 = .667

Math Review_Rubio_Notes #All

What kind of test is the GED test? Reading and Thinking
How many steps to every word problem? Four
Step a. Read Through the whole problem
Step b. Say I can do this
Step c. Focus On Bottom Line Question
Step d. Think About The Words Of The Question
Ask What do the words mean?
What operation do I use? Add Subtract Multiply Divide
How many more, how many less, what is the difference eft or any comparing words then Subtract
How many are IN something Divide
A part OF something (1/2 of 2000, 90% of salary) Multiply
Per in QUESTION means Divide (per or unit rate refers to one.)
If I know something about ONE and want to know about MORE then Multiply
If I know something about MORE and want to know about ONE, then Divide
Fractions Part of One
If the answer is a ratio, how many numbers do I need? 2
What kind of problem is it when the problem tells me something about two things and then asks me something about the SAME two things? Proportion
What do I draw on my paper when I know I have one of these problems? _______=_______
What do I put on the left line? What I Know
How do I work the problem? Cross Multiply and Divide
Decimals Part of One
Every fraction/decimal/percent can be written as A
fraction decimal percent
Change a fraction to a decimal by Top Number Divided By Bottom Number
Change decimal to fraction by Read It Write It Reduce It
1/4 = .25
1/2 = .5
3/4 = .75
1/3 = .333
2/3 = .667
Percentage Part of 100
Every fraction/decimal/percent can be written as fraction/decimal/percent.
What are the three parts of a percentage problem? Part Base Rate
Triangles Part (piece of whole is) ? Base X Rate (whole /of) (percent sign)
Percent of Increase/Decrease Subtract and Divide by Original Shift =
Interest P X T (years or months/12 x R shift =
Area L X W (square units) = 2
Volume L X W X H (cubic units) = 3
Median Middle number; Order numbers first
Mode Number repeated the most

Math Review_Rubio_Notes #1-4 Thinking It Thru

What kind of test is the GED? Reading and Thinking
The four steps to every word problem is to Read, Say, Focus & Think
Say I can do this
Focus On Bottom Line Question
Think About The Words Of The Question

Ask what do the words mean?

If words are Combine and then you ADD
Question: Asking MORE or LESS or what is the DIFFERENCE or LEFT (comparing words) then you Subtract
If asking how many are IN something then you Divide
A part OF something (1/2 of 2000, 90% of salary, etc.) then you Multiply
Per (per or unit rate refers to one) in question then you Divide
If you know something about ONE and want to know about MORE then you Multiply
If you know something about MORE and want to know about ONE then you Divide

7th Math

outcome one possible result of a probability event
simple events one outcome or a collection of outcomes
probability The chance that some event will happen. It is the ratio of the number of ways a certain event can occur to the number of possible outcomes.
complementary events The events of one outcome hapening and that outcome not happening are complementary events. The sum of the probabilities of complementary events is 1.
sample space the set of all possible outcomes of a probability experiment
compound (composite) event an event consisting or two or more simple events
independent events two or more events in which the outcome of one event does not affect the outcome of the other event(s)
fair game a game in which players of equal skill have an equal chance of winning
dependent events the outcome of one event affects the outcome of the other event

Operations with integers

-9*-9 81
-7*7 -49
8*-12 -96
-8*-8 64
6*-9 -54
-10*-10*-10 -1000
7*-11 -77
-6/-6 1
-12/4 -3
-16/-4 4
-1/-2 0.5
100/-10 -10
-27/-3 9

16 times 16 256
17 times 17 289
18 times 18 324
19 times 19 361

Math Flashcards1

Term Definition
Base When a number is written in exponential form. EX 5 is the base in 5 to the third power.
Composite Number A number that is great than one with more than two factors. EX 48 is composite
Divisible A number is divisible by a second whole number. EX 48 is divisible by 8
Exponent Tells how many times a number is used as a factor. EX 3rd power
Factor A whole number that divides into the remainder of 0. EX 5 is a factor of 25
Formula A tool that shows the relationship between two or more quantities. EX 6= 2 x R
Greatest Common Factor The largest number that is a factor between two different numbers. EX 20's GCF is 5 x 4
Least Common Denominator The smallest number between two denominators. 2/3 and 4/2's LCD is 6
Least Common Multiple The smallest number that can be a multiple of two numbers. EX 2 and 3's LCM is 6
Multiplicative Inverse The reciprocal of a number. EX 1/2 reciprocal is 2/1
Power A number that can be expressed through its base and an exponent. EX 1 to the 1st power is one
Prime Factorization When you break down a composite number. EX 6=2 x 2
Prime Number A number that can only be multiplied by itself and 1
Rational Number A number written off the division of two integers where the denominator isn't 0. EX 9/10
Reciprocals Two fractions that have products of one
3/5 and 5/3
Relatively Prime A fraction is relatively prime when a and b only have I as a common multiple. EX 1/4
Repeating Decimal A decimal that repeats and does not end. EX. .3333333
Scientific Notion The first factor is greater than or equal to 1 and less than 10, and the second factor is the power of 10. EX 3.7 x 7 to the 10th power
Terminating Decimal A decimal that ends. EX .6

Chapter 2 Math Vocab 7th Grade Pre Algebra

Term Definition
Base When a number is written in exponential form, the number that is used as a factor.
(Example: 5^4 (5 is the base) which equals 5x5x5x5.)
Composite Number A whole number greater than 1 with more than two factors. (Example: 24 is a composite number that has 1,2,3,4,6,8,12,and 24 as factors.)
Divisible A number is this term by a second whole number if the first number can be divided by the second number with a remainder of 0. (Example: 16 is divisible by 1,2,4,8,and 16.
Exponent Tells how many times a number, or base, is used as a factor. (Example: 3^4 (4 is the exponent) equals 3x3x3x3.
Factor A whole number that divides another whole number with a remainder of 0. (Example: 1,2,3,46,12,18,and 36 are factors of 36.)
Formula A rule that shows the relationship between two or more quantities. (Example: The formula p=2L+2W gives the perimeter of a rectangle in terms of its length and width.
Greatest Common Factor (GCF) This term of two or more numbers is the greatest number that is a factor of all of the numbers. (Example: The GCF of 12 and 30 is 6.)
Least Common Denominator (LCD) This term of two or more fractions is the least common multiple of their denominators. (Example: The LCD of fractions 3/8 and 7/10 is 40.
Least Common Multiple (LCM) This term of two numbers is the smallest number that is a multiple of both numbers. (Example: The LCM of 15 and 6 is 30.)
Multiplicative Inverse The reciprocal of a number is called this term. (Example: The multiplicative inverse of 4/9 is 9/4.
Power A number that can be expressed using a base and exponent. (Example: 3^4,5^2, and 2^10 are powers.
Prime Factorization Writing a composite number as the product of its prime factors is the prime factorization of the number. (Example: The prime factorization of 12 is 2x2x3, or 2^2×3.)
Prime Number A whole number with exactly two factors, 1 and itself. (Example: 13 is a prime number because its only factors are 1 and 13.)
Rational Number Any number written as a quotient of two integers where the denominator is not 0. (Example: 1/3,-5,6.4,0.666…,-2 4/5,0, and 7/3 are rational numbers.
Reciprocals Two numbers are this term if their product is 1. (Example: The numbers 4/9 and 9/4 are reciprocals.
Relatively Prime A fraction a/b is in simplest form when a and b are relatively prime, which means they only have 1 as a common factor. (Example: 9/10, 1/4, and 2/3 are examples of this term.)
Repeating Decimal A decimal that repeats the same digits without end. The repeating block can contain one digit or more than one digit. (Example: 0.888…=0.8 with the repeating sign over 8.
Scientific Notation A number is in scientific notation if the first factor is greater than or equal to 1 and less than 10, and the second factor is a power of 10. (Example: 37,000,000 is written as 3.7×10^7 in this term.
Terminating Decimal A decimal that stops. (Example: Both 0.6 and 0.7265 are this term.)