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Algebra 1

5.5.6 Practice

Algebra 15.5.6 Practice
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Complete the following questions to practice the skills you have learned in this lesson.

  1. A new bicycle sells for $300. It is on sale for 1 4 off the regular price. Select three expressions that represent the sale price of the bicycle in dollars.
  1. 300 ⋅ 1 4
  2. 300 ⋅ 3 4
  3. 300 ⋅ ( 1 − 1 4 )
  4. 300 − 1 4
  5. 300 − 1 4 ⋅ 300
For questions 2–4, use the following information:
A computer costs $800. It loses 1 4 of its value every year after it is purchased.
  1. Answer the following questions that would complete the table to show the value of the computer at the listed times.
Time (Years) Value of Computer (Dollars)
0  
1  
2  
3  
t  
Table 5.5.0
    1. The value of the computer, in dollars, when it is purchased.
    1. The value of the computer, in dollars, after 1 year.
    1. The value of the computer, in dollars, after 2 years.
  1. Which of the following expressions would represent the value of the computer, in dollars, after t years?
  1. v = 800 ⋅ ( 3 4 ) t
  2. v = 800 ⋅ ( 1 4 ) t
  3. v = 800 ⋅ 3 4 ⋅ t
  4. v = 800 ⋅ 1 4 ⋅ t
  1. Use your equation from question 3 to find v when t is 5. What does this value of v mean?
  1. 253.13; After 5 years, the computer’s value is $253.13.
  2. 3,000; After 5 years, the computer’s value is $3,000.
  3. 142.38; After 5 years, the computer’s value is $142.38.
  4. 189.84; After 5 years, the computer’s value is $189.84.
  1. A piece of paper is folded into thirds multiple times. The area, A , of the piece of paper in square inches, after n folds, is A = 90 ⋅ ( 1 3 ) n .

    1. What is the value of A when n = 0 ?
    1. How many folds are needed before the area is less than 1 square inch?
For questions 6 – 7, use the following information:
The area of another piece of paper in square inches, after n folds, is given by A = 100 ⋅ ( 1 2 ) n .
  1. What does the number 100 mean in this situation?
  1. The area after the paper is folded
  2. The area before the paper is folded
  3. The number of folds to have an area of 0
  4. The growth factor of the situation
  1. What does the number 1 2 mean in this situation?
  1. The area of the paper before it is folded
  2. The area of the paper after 1 fold
  3. The growth factor of the situation
  4. The initial value of the situation
  1. Lin has 13 mystery novels. Each month, she gets 2 more. Select three expressions that represent the total number of mystery novels Lin has after 3 months.
  1. 13 + 2 + 2 + 2
  2. 13 ⋅ 2 ⋅ 2 ⋅ 2
  3. 13 ⋅ 8
  4. 13 + 6
  5. 19
  1. The graph shows the amount of a chemical in a water sample. It is decreasing exponentially.

    Graph of a function on grid, origin O. Horizontal axis, time, hours, from 0 to 8 by 1's. Vertical axis, chemical, milligrams, from 0 to 1,200 by 200's. Plotted coordinates as follows: 0 comma 1,000, 1 comma 800. The next three points labeled A, B and C, with 4 more points plotted.

    1. What are the coordinates of point A ?
  1. ( 1 , 640 )
  2. ( 4 5 , 1000 )
  3. ( 2 , 640 )
  4. ( 0 , 1000 )
    1. What are the coordinates of point B ?
  1. ( 4 5 , 512 )
  2. ( 4 , 410 )
  3. ( 3 , 512 )
  4. ( 2 , 640 )
    1. Which of the following equations would represent the chemical, C , after time, x , from the graph?
  1. C = 1000 + 4 5 + x
  2. C = 1000 ( 4 5 ) x
  3. C = 1000 ⋅ 4 5 ⋅ x
  4. C = 1000 + 4 5 x
  1. The graph shows the amount of a chemical in a water sample at different times after it was first measured. Select two statements that are true.

    Graph of a function on grid, origin O. Horizontal axis, time, hours, from 0 to 6 by 0 point 5's. Vertical axis, chemical, milligrams, from 0 to 2,400 by 400's. Plotted coordinates as follows: 0 comma 2,000, 1 comma 1,000, 2 comma 500, 3 comma 250, 4 comma 125.

  1. The amount of the chemical in the water sample is decreasing exponentially.
  2. The amount of the chemical in the water sample is not decreasing exponentially.
  3. It is not possible to tell for certain whether the amount of the chemical is decreasing exponentially.
  4. When it was first measured, there were 2,000 mg of the chemical in the water sample.
  5. After 4 hours, there were 200 mg of the chemical in the water.
  1. The height of a plant in mm is 7. It doubles each week. Select two expressions that represent the height of the plant, in mm, after 4 weeks.
  1. 7 + 4 ⋅ 2
  2. 7 ⋅ 2 4
  3. 2 + 7 4
  4. 7 ⋅ 2 ⋅ 2 ⋅ 2 ⋅ 2
  5. 7 ⋅ 2 ⋅ 4
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