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TRANSLATING VERBAL EXPRESSIONS TO ALGEBRAIC EXPRESSIONS

TRANSLATING VERBAL EXPRESSIONS TO ALGEBRAIC EXPRESSIONS. 7.13 WRITE VERBAL EXPRESSION AS ALGEBRAIC EXPRESSION. NUMERICAL EXPRESSION:. A NUMERICAL EXPRESSION CONTAINS NUMBERS AND OPERATIONS . 3. +. 5. . 9. -2. 30. - 2. +. 5. 1. . 50 + 2  2. ALGEBRAIC EXPRESSION:.

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TRANSLATING VERBAL EXPRESSIONS TO ALGEBRAIC EXPRESSIONS

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  1. TRANSLATING VERBAL EXPRESSIONS TO ALGEBRAIC EXPRESSIONS 7.13 WRITE VERBAL EXPRESSION AS ALGEBRAIC EXPRESSION

  2. NUMERICAL EXPRESSION: A NUMERICAL EXPRESSION CONTAINS NUMBERS AND OPERATIONS. 3 + 5  9 -2 30 - 2 + 5 1  50+22

  3. ALGEBRAIC EXPRESSION: AN ALGEBRAIC EXPRESSION CONTAINS VARIABLES, NUMBERS AND OPERATIONS. x + 5 k -2 3a - 2 + 5 50p-22

  4. What is a Variable? What is this place ? x Who am I? m I want to go home What am I doing here? y a Variables are letters that represent unknown numbers.

  5. What is a coefficient? a - 2 + 5 3 -2 k Coefficient: a number in front of the variable

  6. So, in this expression there are 3 terms What is a term? a a 5 2 2 + 5 3 3 + , , Term: name given to a number, variable, or a number and a variable combined by multiplication or division.

  7. So, in this expression there are 2 constants What is a Constant? a 5 + 2 2 + 5 3 , Constant: It is the number by itself and can not change its value.

  8. Identify the variables, terms, coefficients, and constants. VariablesTermsCoefficient Constant. - 1 12 1) 12 - – 9 1 c - 2) – 9c 2,– 7 - 2 a,c 3) 2a – 7c 4) 7a + c 5) 15x – 5c + 3 6) x – p + 11

  9. Translating phrases to algebraic expressions • To translate a phrase to an algebraic expression means to take words and turn into math symbols. • In order to translate a word to a symbol, we must know some key words

  10. Key words for each operation

  11. Key words for each operation

  12. RE-WRITE THESE VERBAL EXPRESSIONS AS ALGEBRAIC EXPRESSIONS The sum of a number and 12 x 12 + The quotient of 15 and some number You will find an expression like this 15 / y  y 15

  13. RE-WRITE THESE VERBAL EXPRESSIONS AS ALGEBRAIC EXPRESSIONS The difference of 9 and a number - m 9 The product of 15 and a number You will find an expression like this 15y . 15 y

  14. RE-WRITE THESE VERBAL EXPRESSIONS AS ALGEBRAIC EXPRESSIONS 1) The difference of 8 and 1. 2) The product of 12 and 6. 3) The sum of 5 and 9. 4) The quotient of 12 and 3.

  15. RE-WRITE THESE VERBAL EXPRESSIONS AS ALGEBRAIC EXPRESSIONS • Three more than a number • The quotient of a number and 8 • Six times a number • 15 less than a number • The quotient of 30 and a number plus 10 x + 3 y/8 • 6 x n or 6n z – 15 30/x + 10.

  16. TRANSLATE PHRASE TO ALGEBRAIC EQUATIONS Use the three steps model to write a mathematical expression. WRITE A VERBAL MODEL. WRITE AN ALGEBRAIC MODEL. DEFINE THE VARIABLE.

  17. THE QUOTIENT OF 8 AND A NUMBER WRITE A VERBAL MODEL. EIGHT DIVIDED BY A NUMBER DEFINE THE VARIABLE. LET THE NUMBER BE: X WRITE AN ALGEBRAIC MODEL. 8  X or

  18. ONE HALF THE PRODUCT OF X AND Y WRITE A VERBAL MODEL. ONE HALF MULTIPLIED BY X AND Y DEFINE THE VARIABLE. LET THE VARIABLE BE: X AND Y WRITE AN ALGEBRAIC MODEL. ( X • Y)

  19. TWICE THE SUM OF TWO NUMBERS WRITE A VERBAL MODEL. TWO TIMES THE SUM BETWEEN 2 NUMBERS DEFINE THE VARIABLE. LET THENUMBERS BE: a and b WRITE AN ALGEBRAIC MODEL. 2( a + b)

  20. TWO LESS THAN* FIVE TIMES A NUMBER The word less than means reverse the expression WRITE A VERBAL MODEL. FIVE TIMES A NUMBER MINUS TWO DEFINE THE VARIABLE. LET THE NUMBER BE: m WRITE AN ALGEBRAIC MODEL. 5m - 2

  21. Write a verbal phrase that represents each algebraic expression below. 1) The difference of 10 and x. 2) The product of 6 and m. 3) The quotient of 12 and y. 4) The sum of k and 7.

  22. Match each phrase with its variable expression. d 1) Twice the sum of x and 3 e 2) Two less than the product of 3 and x b 3) Three times the difference of x and 2 a 4) Twice a number x less 3 c 5) Two more than 3 times a number x

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