Question

How can translations help me understand how to represent verbal phrases as algebraic expressions?

Answer 1

Introduction verbal phrases into algebraic expressions:By using letters, numbers and operation symbols we can translate verbal phrases into shorthand algebraic expression. Let us see about this translation one by one.
The following arithmetic operations are the basic translations.
1. Addition2. Subtraction3. Multiplication4. Division5. Power6. Mixed operation grouping signs
Translating Verbal Phrases into Algebraic Expressions:Addition:The verbal phrase "the sum of a number and 5" can be written into an algebraic expression.We have to find letter to represent the unknown number. Let x be the number, the phrase can be written as x + 5.The following words also mean adding:more, more than, plus, added to, increase, increased by.Example: 1Translate "6 more than a number" into an algebraic expression.Solution:Let x represent the unknown number. Then the phrase can be written asx + 6Subtraction:The verbal phrase of the difference of a number and 5" can be written into an algebraic expression.We need to find a letter to represent the unknown number. Let x be the number, the phrase can be written as x - 5.The following words also mean subtracting:less, minus, subtract from, reduce, reduced by, decrease, decreased by, diminish, diminished by.Example 1Translate "5 less a number " into an algebraic expression.Solution:let x represent the unknown number. Then the phrase can be written as5 - xMultiplication: the verbal phrase " the product of a number and 5" can be written into an algebraic expression.We need to find a letter to represent the unknown number. Let x be the number, the phrase can be written as 5x.The following words also mean multiplying:multiply, multiplied by, timesdouble, twice ( means two times the number)triple ( means three times the number)quadruple ( means four times the number)quintuple ( means four times the number)and so on.Example 1Translate "a number multiplied by 4" into an algebraic expression.Solution:Let x represent the unknown number. Then the phrase can be written as4 xsTranslating Verbal Phrases into Algebraic Expressions:Division:The verbal phrase "the quotient of a number and 5" can be written into an algebraic expression.We need to find a letter to represent the unknown number. Let x be the number, the phrase can be written asThe following words also mean multiplying:Divided byDivided intoHalf ofOne third ofPOWER:the verbal phrase " the power of 2 equal to 4" can be written into an algebraic expression.We need to find a letter to represent the unknown number. Let x be the number, the phrase can be written as 2x = 4then x = 2. that is 22 = 4.Mixed operation grouping signs:The mixed operation is the mixture of many different signs involvingin a equationSimplify the Expression:9x^2 + 5x + 8 - 4x^2 + 4 + 3x^2Solution:Given Expression 10x^2 + 5x + 8 - 4x^2 + 4 + 3x^2=10x^2- 4x^2+3 x^2 + 5x + 8 + 4=9x^2 + 5x + 12.Solution for the given Expression is 9x^2 + 5x + 12.Having problems on list of all prime numbers, keep checking my upcoming Articles.

Answer 2

I hope that helps:)(: well I got to go so have a nice day bye:)(:

Answer 3

thank you @bbcream14

Answer 4

welcome:)(: @dont_kill_my_vibe