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Algebra 1 Chapter 4 Review

25 Questions  I  By Mrscooper

  
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1.  A new comedian is building a fan base. The table shows the number of people who attended his shows in the first, second, third and fourth months of his career. Which graph could represent the data shown in the table?
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B.
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2.  A hiker climbs up a steep bank and then rests for a minute. He then walks up a small hill and finally across a flat plateau. What sketch of a graph could represent the elevation of the hiker?
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B.
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3.  In the diagram below, what is the relationship between the number of triangles and the perimeter of the figure they form? Which of the following represents the above relationship?
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B.
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D.
4.  The table shows the relationship between the number of sports teams a person belongs to and the amount of free time the person has per week. Is the above relationship a linear function?
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B.
5.  What is the graph for the above relationship?
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6.  The ordered pairs (1, 36), (2, 49), (3, 64), (4, 81), and (5, 100) represent a function. What is a rule that represents this function?
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7.  What is the graph of the function rule? «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mo»-«/mo»«mn»3«/mn»«mi»x«/mi»«mo»+«/mo»«mn»2«/mn»«/math»
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8.  Write a function rule for the situation. Is the graph continuous or discrete? A movie store sells DVDs for $14 each. What is the cost, C, of n DVDs?
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9.  What is the graph of each function rule? «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mfenced close=¨|¨ open=¨|¨»«mi»x«/mi»«/mfenced»«mo»-«/mo»«mn»3«/mn»«/math»
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10.  What is the graph of each function rule? «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»y«/mi»«mo»=«/mo»«mo»-«/mo»«msup»«mi»x«/mi»«mn»2«/mn»«/msup»«mo»+«/mo»«mn»2«/mn»«/math»
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B.
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11.  A snail travels at a rate of 2.15 feet per minute.
  • Write a rule to describe the function
  • How far will the snail travel in 6 minutes?
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B.
C.
D.
12.  A tomato plant in Steve's gardeb was 11 centimeters tall when it was first planted. Since then, it has grown approximately 0.7 centimeters per day.
  • Write a rule to describe the function.
  • After how many days will the tomato plant be 18.7 centimeters tall?
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B.
C.
D.
13.  Identify the mapping diagram that represents the relation and determine wheter the relation is a function. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»{«/mo»«mo»(«/mo»«mo»-«/mo»«mn»8«/mn»«mo»,«/mo»«mo»-«/mo»«mn»6«/mn»«mo»)«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mo»(«/mo»«mo»-«/mo»«mn»5«/mn»«mo»,«/mo»«mn»2«/mn»«mo»)«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mo»(«/mo»«mo»-«/mo»«mn»8«/mn»«mo»,«/mo»«mn»1«/mn»«mo»)«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mo»(«/mo»«mn»7«/mn»«mo»,«/mo»«mn»3«/mn»«mo»)«/mo»«mo»}«/mo»«/math»
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14.  The function j(x)=27x represents the number of jumping jacks j(x) you can do in x minutes. How many jumping jacks can you do in 15 minutes?
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D.
15.  You have 8 cups of flour. It takes 1 cup to make 24 cookies. The function c(f)=24f represents the number of cookies, c, that can be made with f cups of flour. What domain and range are reasonable for the function? What is the graph of the function?
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B.
C.
D.
16.  Describe the pattern in each sequence. What are the next two terms of each sequence? 7, 9, 11, 13, ...
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17.  Describe the pattern in each sequence. What are the next two terms of each sequence? 1, 2, 4, 8, ...
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18.  Tell whether the sequence is arithmetic. If it is, what is the common difference? 4, 9, 15, 22, ...
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19.  Tell whether the sequence is arithmetic. If it is, what is the common difference? -10, -10.5, -11, -11.5, ...
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20.  Suppose your buisness has a special checking account used just for paying the phone bill. The balance is $740.00 this month. Next month the balance will be $707.60, after that it will be $675.20, and on the third month the balance will be $642.80. Write a rule to represent the balance in the account as an arithmetic sequence. How many months can you pay your phone bill without depositing any more money in the account?
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21.  An employee recieves a weekly salary of $280 and 3% commission on all sales. The function rule f(d) that gives weekly earnings in terms of d dollars in sales is: f(d)=280+0.03d
  • a) Find the emplyee's earnings for a week with $600 total sales.
  • b) What are the employee's total sales for a week which her earnings were $670.
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B.
C.
D.
22.  Identify the domain and range of the relation. «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»{«/mo»«mo»(«/mo»«mn»3«/mn»«mo»,«/mo»«mn»1«/mn»«mo»)«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mo»(«/mo»«mo»-«/mo»«mn»9«/mn»«mo»,«/mo»«mo»-«/mo»«mn»4«/mn»«mo»)«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mo»(«/mo»«mn»3«/mn»«mo»,«/mo»«mn»14«/mn»«mo»)«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mo»(«/mo»«mn»5«/mn»«mo»,«/mo»«mo»-«/mo»«mn»10«/mn»«mo»)«/mo»«mo»}«/mo»«/math»
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B.
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D.
23.  Is the relation a function? «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»{«/mo»«mo»(«/mo»«mn»1«/mn»«mo»,«/mo»«mo»-«/mo»«mn»5«/mn»«mo»)«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mo»(«/mo»«mo»-«/mo»«mn»5«/mn»«mo»,«/mo»«mo»-«/mo»«mn»4«/mn»«mo»)«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mo»(«/mo»«mn»1«/mn»«mo»,«/mo»«mo»§nbsp;«/mo»«mo»-«/mo»«mn»3«/mn»«mo»)«/mo»«mo»,«/mo»«mo»§nbsp;«/mo»«mo»(«/mo»«mo»-«/mo»«mn»1«/mn»«mo»,«/mo»«mn»2«/mn»«mo»)«/mo»«mo»}«/mo»«/math»
A.
B.
24.  Is the relation a function? (Use the vertical line test)
A.
B.
25.  Find the range of «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mo»(«/mo»«mi»x«/mi»«mo»)«/mo»«mo»=«/mo»«mo»-«/mo»«mn»2«/mn»«mi»x«/mi»«mo»-«/mo»«mn»3«/mn»«/math»  for the domain {-1, 0, 4, 6}.
A.
B.
C.
D.
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