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NAME ___________________________________________________ DATE _____________________ PERIOD __________
Lesson 3 Problem-Solving PracticeMultiplying and Dividing Monomials
1. Ms. Masse’s biology class is conducting an experiment to record the growth of a certain kind of bacteria. Each student has a lab dish containing 2 bacteria which are able to double every day. How many bacteria will be present in a student’s lab dish after two weeks?
2. In 1995, the average home computer had a speed of about 106 cycles per second. In 2004, the average home computer had a speed of about 109 cycles per second. How many times faster were the computers in 2004 as compared to those in 1995?
3. A catering company is planning an event for 27 people. One week before the event, they find out that the number of people has doubled. Will there be 28 or 214 people at the event? Explain.
4. Vance and Ko are trying to simplify the expression 38 × 37. Their answers are different:
Ko’s work: 38 × 37 = (3 × 3)(8 + 7) = 915
Vance’s work: 38 × 37 = 3(8 + 7) = 315
Which student is correct? Identify the mistake made by the other student.
5. Levels of audible sound are measured in decibels (dB). An increase in 10 dB is considered a doubling (21) of perceivable sound to the human ear. The table below lists the decibel level of some common sounds.
Sound Level (dB) Source
30 Library, no talking
70 Busy traffic
80 Hair dryer
100 Garbage truck
110 Rock concert
120 Jet engine
180 Rocket launching pad
How many times louder is a jet engine than a hair dryer?
6. Refer to the table in Exercise 5. How many times louder is it at a rocket launching pad than in a library?
Program: Pre-Algebra
Vendor: Aptara
Component: C04_ANC_L3
Grade: AMPDF Pages
Math Accelerated • Chapter 4 Powers and Roots
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