what is algebra

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What is Algebra?

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  1. 1. What is Algebra?
  2. 2. The Language of Math Algebra is a mathematical language that uses symbolsand letters.26 + x = 84 Symbols represent the operation and numbers.+ - = 1 2 3 Letters represent unknown quantities.a + bp/qx
  3. 3. The Language of Math When symbols and numbers are combined into a mathematicalphrase, the phrase is an numerical expression.14 + 32 = 46 When letters (known as variables) are combined with symbolsthe mathematical phrase is an algebraic expression.x + 32 = 46 In algebra, variables/letters are used for unknown quantities. In arithmetic, an empty box or other shape was used to representunknown quantities.4 + 3 =
  4. 4. Understanding A mathematical quantity is anything that can bemeasured or counted. Algebra uses symbols to represent quantities that areunknown or may vary. You can represent mathematical phrases and real-worldrelationships using symbols and operations.
  5. 5. Lets Practice (Write only the expression)3. The quotient of 207 and a number n?Quotient means?Divide.The unknown variable is represented by the letter?n.The algebraic expression is?207 n4. The difference of a number x and ?Difference means?Subtract.The unknown variable is represented by the letter?x.The algebraic expression is?x .1. The total number of fish if you hadeight and brought nine more?How many fish do you have?8.How many more fish did you buy?9.Together you have?8 + 92. The total length of songs on a CD ifeach of nine songs is three minuteslong?How many songs are on the CD?9.Each song is how long?3 minutes.The total length of the CD is?9 x 3
  6. 6. Check Your Understanding Translate the following: Do Not SolveWrite the phrases into anumerical or algebraic expression.1. The total amount of money if you have nine dollars and 12 dollars?2. The cost of six electronic hand-held games if each cost eight dollars?3. The sum of a number m and 8?4. y minus 12?5. The difference of 15 and 10?6. A number t divided by 82?7. The number of students I each group if fifteen students are divided intofive equal group?