University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2014
Views:

272

Pages:

2
Author:

Jesus Pugh

Translating Key Words and Phrases into Algebraic Expressions Operations and their Translations Addition (+) Key Word/Phrase: plus, more than, the sum of, the total of, increased by, added to Example: A number plus three → 𝑥 + 3 x+3 Ten more than a number → 𝑥 + 10 x+10 The sum of a number and five → 𝑥 + 5 x+5 Subtraction (−) Key Word/Phrase: minus, less than, the difference of, less, decreased by, subtracted from Example: A number minus seven → 𝑥 − 7 x−7 Four less than a number → 𝑥 − 4 x−4 The difference of a number and three → 𝑥 − 3 x−3 Multiplication (×) Key Word/Phrase: times, the product of, triple, twice, double, multiplied by, half of, three-fourths of Example: Eight times a number → 8 𝑥 8x The product of fourteen and a number → 14 𝑥 14x Twice a number → 2 𝑥 2x Division (÷) Key Word/Phrase: the quotient of, divided by, the ratio of Example: The quotient of a number and seven → 𝑥 7 7 x Ten divided by a number → 10 𝑥 x 10 Powers (x^n) Key Word/Phrase: the square of, squared, the cube of, cubed, exponents Example: The square of a number → 𝑥 2 x 2 The cube of a number → 𝑥 3 x 3 Equals (=) Key Word/Phrase: equals, is, is the same as, yields, amounts to Example: Seven less than a number equals ten → 𝑥 − 7 = 10 x−7=10 Examples from Mathematical Translations Classwork Part 1: Translate each written expression into a mathematical sentence Nine more than a number → 𝑥 + 9 x+9 Three more than half a number → 1 2 𝑥 + 3 2 1 x+3 Five squared minus a number → 5 2 − 𝑥 5 2 −x Sixteen divided by a number → 16 𝑥 x 16 The product of seven and a number is forty-two → 7 𝑦 = 42 7y=42 The quotient of a number and seven is thirty-three → 𝑦 7 = 33 7 y =33 Four times a number decreased by eleven → 4 𝑥 − 11 4x−11 Four times the quantity of a number minus eleven → 4 ( 𝑛 − 11 ) 4(n−11) Part 2: Translate each mathematical sentence into a written expression 9. 4 𝑥 4x → the product of four and a number 10. 29 − 𝑥 29−x → twenty-nine minus a number 11. 7 𝑦 = 42 7y=42 → the product of seven and a number is forty-two 12. 𝑥 + 10 = 24 x+10=24 → a number plus ten equals twenty-four 13. 11 𝑥 + 4 11x+4 → the product of eleven and a number plus four 14. 5 − 8 = 4 𝑦 5−8=4y → five minus eight equals the product of four and a number 15. 3 ( 𝑥 − 2 ) = 10 3(x−2)=10 → three times the quantity of a number minus two equals ten 16. 1 2 𝑥 2 1 x → half of a number