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Algebra 2 Chapter 1 Test B

 1. 

What is the parent function for mc001-1.jpg?
a.
mc001-2.jpg
c.
mc001-4.jpg
b.
mc001-3.jpg
d.
mc001-5.jpg
 

 2. 

What is the parent function for mc002-1.jpg?
a.
mc002-2.jpg
c.
mc002-4.jpg
b.
mc002-3.jpg
d.
mc002-5.jpg
 

 3. 

Compared to the graph of  mc003-1.jpg, the graph of mc003-2.jpg is _______.
a.
translated down
c.
translated up
b.
translated left
d.
translated right
 

 4. 

Compare the graph of  mc004-1.jpg with the graph of mc004-2.jpg.
a.
The graph of g(x) is translated 2 units right from the graph of f(x).
b.
The graph of g(x) is translated 2 units left from the graph of f(x).
c.
The graph of g(x) is narrower.
d.
The graph of g(x) is wider.
 

 5. 

Graph mc005-1.jpg and mc005-2.jpg mc005-3.jpgmc005-4.jpg. Then describe the transformation from the graph of mc005-5.jpg to the graph of mc005-6.jpg mc005-7.jpgmc005-8.jpg.
a.
mc005-9.jpg
The transformations are a shrink and a reflection.
c.
mc005-11.jpg
The transformations are a translation and a reflection.
b.
mc005-10.jpg
The transformations are a translation, a reflection, and a shrink.
d.
mc005-12.jpg
The transformations are a shrink and a translation.
 

 6. 

Write a function that transforms mc006-1.jpg in the following way:
vertical stretch by a factor of 4 and shift 4 units left.
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 7. 

What are the y-intercepts of the graphs of the functions?

Equation A
mc007-1.jpg

Equation B
mc007-2.jpg
a.
A: mc007-3.jpg, B: mc007-4.jpg
c.
A: mc007-5.jpg, B: 2
b.
A: 2, B: 0
d.
A: 1, B: 2
 

 8. 

Write an equation of the line.

sa008-1.jpg
 

 9. 

Write an equation of the line.

sa009-1.jpg
 

 10. 

Decide which linear function is increasing at a greater rate. Explain your answer.

--Linear Function 1 has an x-intercept of –3 and a y-intercept of 5.
--Linear Function 2 includes the points in the table.

x
–2
–1
0
1
2
3
y
0
2.5
5
7.5
10
12.5
a.
The rate of change of a linear function is equal to its slope.
The slope of Linear Function 1 is mc010-1.jpg.
The slope of Linear Function 2 is mc010-2.jpg.
Linear Function 1 is increasing at a greater rate.
b.
The rate of change of a linear function is equal to its slope.
The slope of Linear Function 1 is mc010-3.jpg.
The slope of Linear Function 2 is mc010-4.jpg.
Linear Function 2 is increasing at a greater rate.
c.
The rate of change of a linear function is equal to its slope.
The slope of Linear Function 1 is mc010-5.jpg.
The slope of Linear Function 2 is mc010-6.jpg.
Linear Function 2 is increasing at a greater rate.
d.
The rate of change of a linear function is equal to its slope.
The slope of Linear Function 1 is mc010-7.jpg.
The slope of Linear Function 2 is mc010-8.jpg.
Linear Function 2 is increasing at a greater rate.
 

 11. 

The cost of a school banquet is $85 plus $12 for each person attending. Write an equation that gives total cost as a function of the number of people attending. What is the cost for 49 people?
a.
y = 12x + 85; $673
c.
y = 12x – 85; $503
b.
y = 85x – 12; $4153
d.
y = 85x + 12; $4177
 

 12. 

Paul pays $273 in advance on his account at the athletic club. Each time he uses the club, $8 is deducted from the account. Write an equation that represents the value remaining in his account after x visits to the club. Find the value remaining in the account after 16 visits.
a.
V = 8 – 273x; $145
c.
V = 273 – 8x; $2214
b.
V = 273 – 8x; $2200
d.
V = 273 – 8x; $145
 

 13. 

The cost to fill a car’s tank with gas and get a car wash is a linear function of the capacity of the tank. The costs of a fill-up and a car wash for three different customers are shown in the table. Write an equation for the function in slope-intercept form. Then, find the cost of a fill-up and a car wash for a customer with a truck whose tank size is 31 gallons.

Tank size (gal)
(x)
Total cost ($)
f(x)
9
19.85
14
29.35
20
40.75
a.
mc013-1.jpg; Cost for truck = $61.65
b.
mc013-2.jpg; Cost for truck = $64.50
c.
mc013-3.jpg; Cost for truck = $17.88
d.
mc013-4.jpg; Cost for truck = $67.35
 

 14. 

Describe the correlation illustrated by the scatter plot.

mc014-1.jpg
a.
positive correlation
c.
no correlation
b.
negative correlation
d.
cannot determine
 

 15. 

Which equation best fits this data set?

mc015-1.jpg
a.
mc015-2.jpg
c.
mc015-4.jpg
b.
mc015-3.jpg
d.
mc015-5.jpg
 

 16. 

The table shows the number of customers at an ice cream shop and the number of sundaes sold. Which is the best line of fit for the data?
mc016-1.jpg
a.
mc016-2.jpg
c.
mc016-4.jpg
b.
mc016-3.jpg
d.
mc016-5.jpg
 

 17. 

The cost of a prepaid cell phone plan from 123-Phone includes an activation fee plus a cost per minute. The total costs are represented in the table below.

123-Phone
Minutes Used (t)
Total Cost (f(t))
0
$7.50
1
$7.55
2
$7.60
3
$7.65
4
$7.70

ABC-Phone also charges an activation fee plus a rate per minute. The total cost for ABC Phone’s plan when t minutes are used is given by es017-1.jpg.

Part A: Write a statement comparing the y-intercepts of these functions. Explain how you found your answer.
Part B: What is the meaning of each y-intercept in the context of the real-world situation? Compare the y-intercepts in this context.
Part C: Function f is represented by a table and g is represented by an equation. Show at least two different ways to represent f and g in the same way. Explain how to determine the y-intercepts from each representation.
 

 18. 

Does the system of equations below have one solution, infinitely many solutions, or no solution? Explain.

sa018-1.jpg
 

 19. 

A small business has three employees who decorate pastries. Carlotta earns $11 per hour and decorates 12 pastries each hour on average. James earns $10 per hour and decorates 11 pastries each hour on average. Melissa was recently employed and earns $8 per hour. She decorates 7 pastries each hour on average. In one week, the employees worked for 96 total hours, decorated 1016 pastries, and earned a total of $960 in wages. How many hours did each employee work that week?
 

 20. 

Dining room sets consisting of armchairs, side chairs, and a table are sold at a local furniture store. A set with 2 armchairs, 4 side chairs, and a table is sold for $940. A set with 4 side chairs and a table is sold for $740. A set with 4 armchairs, 2 side chairs, and a table is sold for $1020. What are the individual prices of an armchair, a side chair, and a table? How would you spend a budget of $900 to buy a dining room set?
 



 
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