**Before this page, the reader should haveRead Of & And concerning the use of these words in mathematical expressions.**

### composing one-procedure equations, expressions, statements|Intro |Of & And |of exercises | |include, subtract |multiply, divide |the value of ... |exercises|

Intro**Two Numbers -- One Operation: Addition & Subtraction**This passage presents words regarded each of the basic operations. the reader have to currently be familiar via these words but, links have actually been offered in instance a testimonial is preferred. Here are words associated via addition or subtraction. The conmessage is the essential to the symbols needed, not the word itself. Instances follow the list. wordsalgebraic symbolsreason2 lessened by a number 2 - x start via 2, make it smallera number lessened by 2 x - 2 start through a number, make it smaller2 less than a number x - 2 begin through a number, make it smaller4 more than a number x + 4 or 4 + x start via a number, include 4the difference between 6 and a number 6 - x subtract, founding via 6subtract 4 from a number x - 4 starting through a number, subtract 4the sum of 4 and a number x + 4 or 4 + x add to get a sumthe oppowebsite of the amount of a number and also three-(x+3) or -(3+x) take sum, take opposite of amount It might be convenient for the reader to usage the technique the author supplied in creating the reason column. Think of the word expression as a task to be completed by a computation. Determine the operations essential. Think exactly how one would start and, then think of what would certainly must be done to finish the job described. Notice the uses of the preplace "of" in the last instance. Prepositional phrases break up the expressions right into pieces. Those start through "of" are debated on the last page. Below, notification exactly how the prepositional phrases, in blue, which start through by, in between, from, and also than, make it much easier to examine the phrase and also identify where to start and also what to do.wordsalgebraic symbolsreason2 lessened by a number 2 - x start via 2, make it smallera number reduced by 2 x - 2 begin with a number, make it smallertwo much less than a number x - 2 start via a number, make it smallerfour even more than a number x + 4 or 4 + x start with a number, include 4the difference between 6 and also a number 6 - x subtract, founding with 6subtract 4 from a number x - 4 founding through a number, subtract 4the sum of 4 and a number x + 4 or 4 + x include to obtain a sumthe oppowebsite of the amount of a number and also three-(x+3) or -(3+x) take amount, take opposite of amount Further information is discovered in a prepositional phrases. The preposition "from" is nearly constantly a tip-off that subtractivity is compelled. Often, the desired mathematical expression starts with what is in the "from" prepositional expression.

**Multiplication & Division**Here are words linked via multiplication or division. The context is the crucial to the symbols essential, not the word itself. Remember, the word AND is a signal that tbelow are 2 or even more ideas, not that addition is compelled. Remember, to use prepositional and other phrases to break up the expression in order to determine what is required.Examples follow the list. wordsalgebraic symbolsreasonthe product of two and a number 2x or 2(x) multiplya third of the sum of a number and also two (x + 2)/3 start with the amount, take a 3rd of itdouble the distinction in between 6 and a number 2(6-x) start via the difference, multiply by 2triple the sum of four, 5, and a number 3(4 + 5 + x) begin with the amount, multiply by 3the value of 4 nickels 4(5) or 5+5+5+5, etc. 4 fives or five 4 timesthe value of some nickels 5x multiply 5 times a number The last instance may be HARD. Use the table below to examine the reason more clearly. The value of x nickels is 5x. The worth of some nickels is 5x. variety of nickelsworth of nickels 1 5(1) = 5 2 5(2) = 10 3 5(3) = 15 4 5(4) = 20 x 5(x) = 5x

**Exercises**I. Write the expression/equation then check the answer. Note: Your browser might print the answers via spaces that are not ment to be tright here.1.) the square of 5 Answers5²2.) the square of five subtracted from a number Answersx - 5²3.)the oppowebsite of a number Answers-x4.) 6 less than half of a number Answersx/2 - 6 or .5x - 6 5.) the product of a number and four Answers4(x) or 4x or (4)(x)6.) a number lessened by fiveAnswersx - 5 7.) five much less than a number Answersx - 5 8.) Ten is five less than a number. Answers10 = x - 5 9.) A number is less than five.Answersx See added information on these.10.) one much less than a number Answersx - 111.) one less than a twin a number Answers2x - 112.) the oppowebsite of the amount of a number and also 12 Answers-(x + 12)13.) triple a number Answers3x14.) twice the amount of a number and also 1 Answers2(x + 1)III. Complete the table. Check each answer.wordsalgebraic symbols1. Answersone less than a number x - 12. the amount of six and also double a number Answers6 + 2x or 2x + 63. double the sum of 6 and also a number Answers2(x + 6)4. the amount of 3 consecutive integersAnswers first + second + third(x) + (x + 1) + (x + 2) 5. the product of 2 consecutive odd integers Answers(first)(second) (x)(x + 2) IV. Complete the table. Check each answer.wordsalgebraic symbols1. one more than a numberAnswersx + 1 or 1 + x 2. Answersone less than a number or a number lessened by one x - 1 3. the product of a number and 3 and a various numberAnswers3xy 4.

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Answersdouble a number or the product of a number and also 2 2x5. Answersthe square of a number or a number multiplied by itself x2