Algebra 1 Chapter 4 Review
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- 1.
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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?- A.
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- B.
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- C.
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- D.
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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?
- A.
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- B.
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- C.
Any of the graphs could represent the situation, depending on the hiker's speed.
- 3.
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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?- A.
The perimeter, P, is equal to the length of the base of one triangle muliplies by the number of triangles in the figure, n, plus the length of another side. The equation of the perimeter is P=4n+7.
- B.
The perimeter, P, is equal to the length of the base of one triangle multiplied by the number of triangles in the figure, n, plus two times the length of another side. The equation for the perimeter is P=4n+14.
- C.
The perimeter, P, is equal to the length of the sideof one triangle multiplied by the number of triangles in the figure, n, plus the length of the base. The equation for the perimeter is P=7n+4.
- D.
The perimeter, P, is equal to the length of the sideof one triangle multiplied by the number of triangles in the figure, n, plus two times the length of the base. The equation for the perimeter is P=7n+8.
- 4.
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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?- A.
Yes
- B.
No
- 5.
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What is the graph for the above relationship?- A.
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- B.
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- C.
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- D.
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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?
- A.
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- B.
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- C.
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- D.
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- 7.
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What is the graph of the function rule?- A.
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- B.
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- C.
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- D.
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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?
- A.
C=14+n ; continuous
- B.
C=14n ; discrete
- C.
C=14+n ; discrete
- D.
C=14n ; continuous
- 9.
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What is the graph of each function rule?- A.
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- B.
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- C.
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- D.
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- 10.
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What is the graph of each function rule?- A.
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- B.
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- C.
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- D.
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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?
- A.
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- B.
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- C.
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- D.
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- 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?
- A.
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- B.
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- C.
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- D.
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- 13.
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Identify the mapping diagram that represents the relation and determine wheter the relation is a function.- A.
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- B.
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- C.
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- D.
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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?
- A.
142
- B.
405
- C.
1
- D.
212
- 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?
- A.
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- B.
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- C.
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- D.
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- 16.Describe the pattern in each sequence. What are the next two terms of each sequence? 7, 9, 11, 13, ...
- A.
Subtract 2 from the previous term: 11, 9
- B.
Multiply the previous term by 2: 26, 52
- C.
Add 2 to the previous term: 15, 17
- D.
Multiply the previous term by 2: 15, 52
- 17.Describe the pattern in each sequence. What are the next two terms of each sequence? 1, 2, 4, 8, ...
- A.
Add 1 to the previous term: 7, 6
- B.
Multiply the previous term by 2: 16, 32
- C.
Subtract 1 from the previous term: 16, 32
- D.
Multiply the previous term by -2: -16, 32
- 18.Tell whether the sequence is arithmetic. If it is, what is the common difference? 4, 9, 15, 22, ...
- A.
Yes; 6
- B.
Yes; 4
- C.
Yes; 5
- D.
No
- 19.Tell whether the sequence is arithmetic. If it is, what is the common difference? -10, -10.5, -11, -11.5, ...
- A.
Yes; 1.1
- B.
Yes; -0.5
- C.
Yes; -20.5
- D.
No
- 20.
- A.
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- B.
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- C.
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- D.
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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.
- A.
A) $298 b)$13000
- B.
A) $298 b) $300.10
- C.
A) $10666.67 b) $13000
- D.
A) $10666.67 b) $300.01
- 22.
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Identify the domain and range of the relation.- A.
Domain: -9,-4,1,3 range: -10,3,5,14
- B.
Domain: -9,3,5 range: -10,-4,1,14
- C.
Domain: -10,3,5,14 range: -9,-4,1,3
- D.
Domain: -10,-4,1,14 range: -9,3,5
- 23.
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Is the relation a function?- A.
Yes, it is a function
- B.
No, it is not a function
- 24.
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Is the relation a function? (Use the vertical line test)- A.
Yes, it is a function
- B.
No, it is not a function
- 25.
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Find the range of for the domain {-1, 0, 4, 6}.- A.
{-5, -3, -9}
- B.
{1, 0, -4, -6}
- C.
{-1, 0, 4, 6}
- D.
{-1, -3, -11, -15}
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