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Unit 1: Algebra (Lessons 1 - 35)

AB
Numbers added togetheraddends
Answer of numbers addedsum
Number being subtractedsubtrahend
The subtrahend is subtracted from the:minuend
Numbers that are multipliedfactors
Answer of numbers multipliedproduct
Number being divideddividend
The dividend is divided by the:divsor
The amount of the dividend that is left undivided:remainder
Order of Operationsparentheses, multiplication, division, addition, subtraction
Commutative Principle (Addition/Multiplication)The order of the addendends/factors may be changed without changing the sum/product.
Associative Principle (Addition/Multiplication)The addendends/factors may be regrouped withou changing the sum/factor.
Identity Number PrinciplesThe identity number for addition is zero because zero plus any number is the number. The identity number for multiplication is one. (any number times one is that number).
Roman Numberal I1
Roman Numeral X10
Roman Numeral C100
Roman Numeral V5
Roman Numeral L50
Roman Numeral D500
Ruman Numeral M1,000
Roman Numeral: numeral is repeated, its value is repeatedCC = 100 + 100 = 200
Roman Numeral: small numeral is placed before a larger number it is subtractedXL = 50 - 10 = 40
Roman Numeral: More than one numeral is not subjected.VIII = 8, not IIX = 8
Roman Numeral: When a dash is placed over a Roman Numeral, the valued is increasted by:5,000
Prime Numberhas no factors except 1 and itself
Composite Numberhas other factors besides 1 and itself
All Whole numbers except WHAT are either prime or composite1
The number ? is neither prime nor composite1
Common Factorfactor that is shared by two or more numbers
Greatest Common Factor (gcf)is the greatest factor any two or more numbers share.
The number ? is the only even number that is prime.2
Fractionpart of a whole object or collection of objects
Rule: Addition of Fractions - Fractions must have a common denominator before they can be addedto add fractions having a common denomonator, keep the common denominator and add the numerator.
Rule: Multipplication of Fractionsmultiply the numerators together for the product numerator and the denominators together for the product denominator
Cancellationprocess of used in simplifying fractions before multiplication
Complex Fractionis a fraction that has a fraction or mixed number for the numerator, or denominator or both.
Decimalsis another way of writing a fraction
tenths - one tenth.1
hundredths - one hundredth.01
Adding/Subtracting Decimalskeep the decimals lined up
Power of 10 is found by -multiplying 10 by itself a certain number of times.
Terminating Decimala fraction that divides out evenly
Repeating Decimaldoes divide evenly, but has a pattern of repeating numbers
Nonrepeating Decimala fraction that does not come out even and does not have a pattern of repeating numbers
Ratiocompares two numbers or quantities by using division
Antecedentfirst term in a ratio
Consequentthe second term in a ratio
Proportiontwo equivalent ratios joined by an equal sign (2/5=4/10)
Write Decimal as a Percentmove the decimal point two places to the right and add the percent symbol
Percentagepart of a number given in one-hundredths
Change Fraction of Percent to a Decimal:write the fraction as a decimal and change the percent to a decimal by moving the decimal point two places to the left and dropping the percent sign.
Change a Percent greater than 100% to a decimal -move the decimal point two places to the left as usual.
When a percent is given as MORE THAN,add that percent to 100% before find the percentage of a number
When a percent is given as LESS THAN,subtract that percent from 100% before finding the percentage of a number
To change a DECIMAL to a PERCENT,move the decimal point two places to the right and place the percent sign to the right of the number
Find PERCENT of INCREASE,find the amount of the increase and then find what percent this increase is of the original number. (The original number is ALWAYS the denominator.)
Find PERCENT of DECREASE,find the amount of decrease and the find what percent the decrease is of the original number. (The original number is ALWAYS the denominator.)
Finding the NUMBER when a PERCENT is given,Change the percent to a decimal and then divide the percentage by the decimal
Discountis a reduction in the LIST PRICE (regular price) of an item or service.
Rate of Discountis the percent of discount
Find the SALE PRICE,subtract the amount from of discount from the list price
Commissionis a percentage of money a salesclerk receives from a sale.
Rate of Commissionis found by finding what percent the commission is of the sale
Saleis found by finding the number (amount of sales) when the percent (rate) adn percentage (percent) are known.
PROFIT and LOSSterms used to show a gain or loss in a business transaction.
Costprice paid for an item
selling priceprice received for an item
Gross Profitis the excess of the selling price over the cost
Net Profitis the excess of the selling price over the cost plus overhead.
Overheadincludes such things as rent, utilities, salaries, and advertising
Lossis the excess of the cost plus overhead over the selling price
GROSS PROFIT (equation)selling price - cost
NET PROFIT (equation)selling price - (cost + overhead)
LOSS (equation)(cost + overhead) - selling price
Finding the PERCENT OF PROFIT or LOSS based on the Costdivide the net profit by the cost and write quotient as percent to the nearest whole percent
PERCENT of PROFIT (equation)net profit/cost
Finding the PERCENT OF PROFIT or LOSS based on the Selling Pricedivide the net profit by the selling price and write the quotient as a percent to the nearest whole percent
PERCENT OF PROFIT (selling price - equation)percent of profit = net profit/selling price
NET PROFIT (based on selling price - equation)net profit = selling price - (cost + overhead)
PERCENT of PROFIT (based on selling price - equation)percent of profit = net profit/selling price
PERCENT of LOSS (based on selling price - equation)loss = (cost + overhead) - selling price


Seton Home Study School
Seton Home Study School

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