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Verbal Phrases Involving Addition

Verbal Phrases Involving Addition. The algebraic expression a + b can be used to represent several different verbal phrases. a plus b. a added to b. a is increased by b. the sum of a and b. b is added to a. b more than a.

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Verbal Phrases Involving Addition

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  1. Verbal Phrases Involving Addition The algebraic expression a + b can be used to represent several different verbal phrases. a plus b a added to b a is increased by b the sum of a and b b is added to a b more than a The word exceeds means “is more than”. So, the number that exceeds 5 by 2 can be written as “2 more than 5” or 5 + 2.

  2. Verbal Phrases Involving Subtraction The algebraic expression a - b can be used to represent several different verbal phrases. a minus b a decreased by b b less than a b subtracted from a a diminished by b a reduced by b the difference between a and b

  3. Verbal Phrases Involving Multiplication • The algebraic expressions a X b, a.b, (a)(b), and ab can be used to represent several different verbal phrases. a times b the product of a and b b multiplied by a The preferred form to indicate multiplication in algebra is ab. In algebraic expressions, parenthesis may be used but are not needed. The multiplication symbol X is avoided in algebra because it can be confused with the variable x.

  4. Verbal Phrases Involving Division • The algebraic expressions • and • can be used to represent several different verbal phrases. a divided by b the quotient of a and b and • means one-forth of a as well as a divided by 4. Commas are very important in some verbal phrases.. The product ofxandy, decreased by 2. The product ofxandy decreased by 2.

  5. Translating Words to Algebra 3more than a number 5less than a number a number decreased by 7 the product of 6 and a number twicea number decreased by 4 25,diminished by 4 times a number the sum of a number and 2, divided by 9

  6. More Translating Words to Algebra Translate the following phrases into an algebraic expression. A distance that is 20 meters shorter than x meters. A bill for n baseball caps,each costing d dollars. A weight that is 40 pounds heavier than p pounds. An amount of money that is twice d dollars.

  7. Word Problem Brianna paid 17 dollars for batteries and film for her camera. If the batteries cost x dollars, express the cost of the film in terms of x. batteries + film = 17 dollars That was easy film = 17 dollars - batteries film=(17 – x) dollars

  8. Word Problems from page 93 Represent the number of pounds of grapes you can buy with d dollars if each pound costs b dollars. The number of kilometers traveled by a bus is represented by x. If a train traveled 200 kilometers farther than the bus, represent the number of kilometers traveled by the train. The cost of a mountain bike is 5 times the cost of a skateboard. If the skateboard costs x dollars, represent the cost of the mountain bike. After 12 centimeters had been cut from a piece of lumber, ccentimeters were left. Represent the length of the original piece of lumber.

  9. Factors of a Term If a term contains 2 or more numbers or variables, then each number, each variable, and each product of numbers and variables is called a factor of the term, or a factor of the product. Factors of 3xy The coefficient of a term is the number in front of the variable. 1, 3, x, y, 3x, 3y, xy, 3xy Factors and Coefficients of Terms Factors Coefficient 1, 7, a, b, 7a, 7b, ab, 7ab 7 7ab bd 1, b, d, bd 1

  10. Bases, Exponents, and Powers The exponent is the number of times the base is used as a factor. Coefficient Base Exponent

  11. Evaluating Algebraic Expressions To evaluate an algebraic expression, replace the variables with the given values, and then follow the proper order of operations. Don’t forget about my dear Aunt Sally. Evaluate when Rewrite the expression with empty parenthesis where the variables are Replace the variables with the given values Follow the proper order of operations

  12. More Evaluating Algebraic Expressions Evaluate Evaluate when when

  13. Using a Calculator to Evaluate Algebraic Expressions Evaluate The given values can be stored in the calculator. when Press (-) 4 STO[ ALPHA A ENTER Evaluate 10 STO[ ALPHA N ENTER when 3 STO[ ALPHA D ENTER 2A/5+(N-1)D ENTER 10 STO[ ALPHA A ENTER 2A/5+(N-1)D (-) 6 STO[ ALPHA N ENTER ENTER (-) 5 STO[ ALPHA D ENTER

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