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Lesson: Basic Algebra - 19t01

English to Algebra Practice, continued

[Page 19 of 21]
Click on the appropriate oval to pick an answer, then click Continue.
The product of a and b is nine less than the number b. The sum of a and twice b is 35. Which two equations could be used to determine the value of a and b ?  
ab = b - 9
  2ab = 35
a + b - 9 = b
  2ab - b = 35
ab - 9 = b
  a + 2b = 35
ab = b - 9
  a + 2b = 35
ab - 9 = b
  2ab = 35


Translate piece by piece:
                  “The product of a and b ” indicates multiplication: (a)(b) or ab                   “nine less than the number b” indicates subtraction: b – 9                   “The product of a and b is nine less than the number b.”: ab = b – 9                                            (There’s one equation).                   “The sum of a”: This indicates addition: a +                   “and twice b”: That’s 2b                    “The sum of a and twice b is 35.”: a + 2b = 35                                             (There’s the second equation).                    The fourth choice matches what we found. Note that we don’t care what a and b actually are; the question only asks us to translate, so that’s all we need to do. v>
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