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Algebra 1

5.3.6 Practice

Algebra 15.3.6 Practice

5.3.6 Practice

5.3.6 • Practice

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

  1. Which expression equals 2 7 ?
  1. 2 + 7
  2. 2 ⋅ 7
  3. 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2
  4. 2 + 2 + 2 + 2 + 2 + 2 + 2
For questions 2 – 3, use the following information :

The graph shows the yearly balance, in dollars, of investment account A. The table shows the yearly balance, in dollars, of investment account B.

Investment account A Investment account B
Number of years Amount in dollars
0 $2,000
1 $2,150
2 $2,300
3 $2,450
4 $2,600
  1. What type of functions do the graph and the table represent?
  1. Investment A is a/n:
  1. linear function
  2. exponential function
  1. Investment B is a/n:
  1. linear function
  2. exponential function
  1. Which of the following statements are true? Select two that apply.
  1. Investment A has a higher initial balance than investment B.
  2. Investment A has a common ratio.
  3. Investment B has a common ratio.
  4. Investment A is growing by the same number of dollars each year.
  5. Investment B is growing by the same number of dollars each year.
  6. After 12 years, investment B will result in more money.
  1. Investment account 1 starts with a balance of $200 and doubles every year. Investment account 2 starts with $1,000 and increases by $100 each year.  How long does it take for each account to double?
  1. How many years will it take investment account 1 to double?
  1. 15
  2. 10
  3. 5
  4. 1
  1. How many years will it take investment account 2 to double?
  1. 15
  2. 10
  3. 5
  4. 1
For questions 5 – 7, use the following information:
A population of ants is 10,000 at the start of April. Since then, it triples each month.
  1. At the start of April, there were 10,000 ants in the colony. How many ants will there be 1 month later? 
  1. 90,000
  2. 30,000
  3. 10,300
  4. 10,003
  1. Which values complete the table?

    months since April number of ants
    0 10,000
    1 30,000
    2  
    3  
    4  

  1. 33,000, 33,300, 33,330
  2. 40,000, 70,000, 110,000
  3. 90,000, 270,000, 810,000
  4. 50,000, 70,000, 90,000
  1. If there are n ants in one month, which expression represents how many ants there will be one month later?
  1. n + 3
  2. 3 n
  3. n 3
  4. 3 n
  1. A swimming pool contains 500 gallons of water. A hose is turned on, and it fills the pool at a rate of 24 gallons per minute. Which expression represents the amount of water in the pool, in gallons, after 8 minutes?
  1. 500 ⋅ 248
  2. 500 + 24 ⋅ 8
  3. 500 + 24 + 8
  4. 500 ⋅ 24 ⋅ 8
  1. The population of a city is 100,000. It doubles each decade for 5 decades. Select the two expressions that represent the population of the city after 5 decades.
  1. 32,000
  2. 320,000
  3. 100 , 000 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2
  4. 100 , 000 ⋅ 5 2
  5. 100 , 000 ⋅ 2 5
  1. Bank account C starts with $10 and doubles each week. Bank account D starts with $1,000 and grows by $500 each week. When will account C contain more money than account D?
  1. Account C will contain more money than account D after 10 weeks.
  2. Account C will contain more money than account D after 7 weeks.
  3. Account C will never contain more money than account D.
  4. Account C will contain more money than account D after 2 weeks.
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