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Algebra 1

5.6.7 Practice

Algebra 15.6.7 Practice
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Complete the following questions to practice the skills you have learned in this lesson.

Use the following passage to answer questions 1 – 3.

In a newly formed swamp, it is estimated that there are 500 mosquitoes. The population is estimated to double each day.

  1. Let m represent the total population of mosquitoes and d represent the number of days that have passed since the first estimate. What is the equation that represents the growth of the mosquito population?
  1. m = 500 ⋅ d 2
  2. m = 500 ⋅ 2 d
  3. m = 2 ⋅ 500 d
  4. m = d ⋅ 500 2
  1. What does d = − 2 represent in this context?
  1. This represents 2 days after the first estimate was taken.
  2. This represents the day the first estimate was taken.
  3. This represents the day before the first estimate was taken.
  4. This represents 2 days before the first estimate was taken.
  1. What is the estimated number of mosquitoes that were in the new swamp 1 day before the estimate was taken?
  1. 125
  2. 1000
  3. 250
  4. 500

Use the following passage to answer questions 4 – 6.

A desert pond is slowly drying up. The average volume of the pond is shown in the table. The first year it was measured, the average volume was determined to be 40,000 liters. Double click on mathematical expression/equation to enlarge.

y , years v , volume (liters)
–4  
–2  
0 40,000
1 20,000
3 5,000
Table 5.6.0
  1. Which equation represents the pond’s water loss?
  1. v = 1 2 ⋅ ( 40 , 000 ) y
  2. v = 20 , 000 ⋅ ( 1 4 ) y
  3. v = 40 , 000 ⋅ ( 1 2 ) y
  4. y = 40 , 000 ⋅ ( 1 2 ) v
  1. What does y = − 2 represent in this context?
  1. the time 2 years before the first time the volume was measured
  2. the time 2 years after the first time the volume was measured
  3. the first time the volume was measured
  4. the time it took for the pond to shrink by a factor of 2
  1. What was the average volume of the pond 4 years before the first time the volume was measured?
  1. 640,000 liters
  2. 80,000 liters
  3. 160,000 liters
  4. 320,000 liters
  1. Which of the following is equivalent to 6,350,000 in scientific notation?
  1. 6.35 × 10 7
  2. 6.35 × 10 6
  3. 6.35 × 10 5
  4. 6.35 × 10 4
  1. Which of the following is equivalent to 0.00032 in scientific notation?
  1. 3.2 × 10 − 6
  2. 3.2 × 10 − 5
  3. 3.2 × 10 − 4
  4. 3.2 × 10 − 3
  1. Which of the following is equivalent to 7.24 × 10 3 in decimal form?
  1. 724000
  2. 72400
  3. 724
  4. 7240
  1. Which of the following is equivalent to 5.47 × 10 − 5 in decimal form?
  1. 0.000547
  2. 5.47e-06
  3. 5.47e-05
  4. 0.00547
  1. Which of the following correctly orders these values from greatest to least?
    Value R 0.00161
    Value S 6.35 × 10 − 3
    Value T 0.000541
    Value U 7.23 × 10 − 4
    Table 5.6.1
  1. Value R, Value S, Value U, Value T
  2. Value S, Value R, Value U, Value T
  3. Value R, Value S, Value T, Value U
  4. Value S, Value R, Value T, Value U
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