Practice final part 1

2012 Intermediate Algebra Practice Final Exam » Form A (Master Copy)
Directions: Please choose the best answer choice for each of the following questions.
1. Solve the equation and graph the solution set
for .
A. No solution.
B.
C.
D.
or
or
2. The path of a ball in the air is modeled by the
equation , where is
the height of the ball in meters and is the
time in seconds. After how many seconds will
the ball hit the ground?
A. 0.1
B. 4
C. 10
D. 33
3. Which inequality is graphed below?
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DataDirector Assessment ID: 30980 Page 1 of 11 © 2011 Houghton Mifflin Harcourt. All rights reserved.
A.
B.
C.
D.

2012 Intermediate Algebra Practice Final Exam » Form A (Master Copy)
4.
Solve and graph the solution
set.
A.
B. No solution.
C.
D.
5. Mrs. Flynn asked four students to solve this
inequality.
Which student response is the complete
solution to this inequality?
A.
B.
C. or
D. or
6. The sign below shows the costs for one ice
cream sundae with toppings.
Which equation represents the relationship
between the cost of an ice cream sundae
and the number of toppings ?
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DataDirector Assessment ID: 30980 Page 2 of 11 © 2011 Houghton Mifflin Harcourt. All rights reserved.
A.
B.
C.
D.
7. Which number line represents the solution
set for ?
A.
B.
C.
D.

2012 Intermediate Algebra Practice Final Exam » Form A (Master Copy)
8. Laura has an electrical problem at her
home. She has called both Ace Electric
Company and Boone Electric Company to
find out how much they charge for repairs.
Ace Electric Company charges a flat fee of
plus per hour. Boone Electric
Company charges per hour plus a flat
fee of . If represents the number
of hours worked and is the total amount
charged, which system of equations models
this situation?
A.
B.
C.
D.
10. Graph the feasible region for the following system of inequalities.
A. B.
9. What is the solution of the system of
equations shown below?
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A.
B.
C.
D.

2012 Intermediate Algebra Practice Final Exam » Form A (Master Copy)
C.
D.
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2012 Intermediate Algebra Practice Final Exam » Form A (Master Copy)
11. The graph below represents which system of
equations?
A.
B.
C.
D.
12. To produce a new line of shirts, Custom Shirt
Company must pay a one-time design fee
of $96.00 plus $1.50 per shirt. The shirts are
then sold for $7.50 each. How many shirts
does Custom Shirt Company have to sell in
order to break even?
A. 5 shirts
B. 11 shirts
C. 13 shirts
D. 16 shirts
13. Angel has 60 feet of fencing material to
enclose a rectangular garden. She wants
the length of the fence to be at least twice
as long as the width. What is the minimum
length of the enclosure?
A. 10 feet
B. 15 feet
C. 20 feet
D. 30 feet
14. A pharmacist needs to fill a prescription for
of saline. The pharmacy has
and saline in stock. How much of the
saline will the pharmacist need to mix
with the saline to make the of
saline?
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A.
B.
C.
D.
15. Jake fills a tank that can hold 200 gallons
of water. The tank already has 50 gallons of
water in it when Jake starts filling it at the rate
of 10 gallons per minute. Karla fills a tank
that can hold 300 gallons of water. That tank
already has 100 gallons of water in it when
Karla starts filling it at the rate of 5 gallons
per minute. Jake and Karla start filling the
tanks at the same time. How long after they
start filling the tanks do the tanks have the
same volume of water? What is that volume
of water?
A. 5 minutes; 150 gallons
B. 5 minutes; 250 gallons
C. 10 minutes; 150 gallons
D. 10 minutes; 250 gallons

2012 Intermediate Algebra Practice Final Exam » Form A (Master Copy)
16. If is the solution of the linear system,
what is the value of ?
A.
B.
C.
D.
17. Determine the x-coordinate of the solution
for this system of linear equations.
18. A small publishing company is planning to publish 2 books this month: book A and book B. The
publishing cost is $6 each for book A and $8 each for book B. The total cost can be no more than
$7,200. The company cannot publish more than 560 copies of book A and 720 copies of book B.
The profit per book A is $10, and the profit per book B is $15. Find the number of books of each type
that the company should publish to maximize its profits.
A.
The objective function is maximized
at (240, 720), so the company should
publish 240 copies of book A and 720
copies of book B.
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DataDirector Assessment ID: 30980 Page 6 of 11 © 2011 Houghton Mifflin Harcourt. All rights reserved.
B.
A.
B.
C.
D.
The objective function is maximized
at (560, 720), so the company should
publish 560 copies of book A and 720
copies of book B.

2012 Intermediate Algebra Practice Final Exam » Form A (Master Copy)
C.
D.
The objective function is maximized
at (560, 480), so the company should
publish 560 copies of book A and 480
copies of book B.
The objective function is maximized
at (1200, 0), so the company should
publish 1200 copies of book A and 0
copies of book B.
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2012 Intermediate Algebra Practice Final Exam » Form A (Master Copy)
19. Simplify.
A.
B.
C.
D.
20. Divide.
A.
B.
C.
D.
21. Which expression is equivalent to
A.
B.
C.
D.
?
22. Simplify . Use positive
exponents only.
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A.
B.
C.
D.
23. A rectangle has an area of
square centimeters. The length of this
rectangle is centimeters. What is its
width, in centimeters?
A.
B.
C.
D.
24. The profit function for a new G & J Toy
Company game is where
is the profit in millions of dollars and is
the number of games in millions. Currently,
the company has been producing million
games at a profit of . If the
company wants to reduce its production
of this game but yield the same amount
of profit, about how many games should it
produce? (Round the answer to the nearest
thousand.)
A. 788,000 games
B. 875,000 games
C. 1,269,000 games
D. 1,663,000 games

2012 Intermediate Algebra Practice Final Exam » Form A (Master Copy)
25. What is the product of ?
A.
B.
C.
D.
26. Factor .
A.
B.
C.
D.
( )
( )
27. Misha factored the expression below.
Which of these is one factor of the
expression?
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A.
B.
C.
D.
28. Which is a complete factor of the polynomial
?
29. Computer graphics programs often employ a method called cubic splines regression to smooth
hand-drawn curves. This method involves splitting a hand-drawn curve into regions that can
be modeled by cubic polynomials. A region of a hand-drawn curve is modeled by the function
and to factor .
A.
B.
C.
D.
. Use the graph of to identify the values of x for which

2012 Intermediate Algebra Practice Final Exam » Form A (Master Copy)
A.
B.
C.
D.
; ;
; ;
; ;
; ;
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2012 Intermediate Algebra Practice Final Exam » Form A (Master Copy)
30. A function has a rate of change of
this expression?
A.
B.
C.
D.
. What is the simplified form of
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