Name
Class
Date
Texas Practice End-of-Course Assessment 2
1. Which is the simplified form of the
4. Solve P = 2l + 2w for w.
expression?
2(v – 6) – 8(3v + 2)
w = P – 2l
2
P – 2l
G w=
2
2l – P
H w=
2
P –2
J w=
2l
F
A –22v – 28
B –22v + 4
C 26v – 28
D 26v + 4
2. If f (x) = –x2 – 9x + 3, what is f (–1)?
5. Factor 16x2 – 49.
F –5
G –7
A (4x + 7)2
H 11
B (4x – 7)2
J 13
C (4x + 7)(4x – 7)
D (2x – 7)(8x + 7)
3. Which function rule is graphed below?
6. Which of the following gives a definition
for the geometric sequence?
4, –8, 16, –32, 64, . . .
F A(1) = 64; A(n) = 64  –
G A(1) = 64; A(n) = 64 
1n – 1
2
1n – 1
2
H A(1) = 4; A(n) = 4  2n – 1
J A(1) = 4; A(n) = 4  –2n – 1
3
A y=– x
2
B
y = – 3 x +1
2
C
y = – 1x +1
3
D
y = – 2 x +1
3
7. Which of the following correlations
represents a causal relationship?
A the amount of ink used and the
number of sheets of paper used
B the number of copies needed and the
number of sheets of paper used
C the amount of ink used and the
number of staples needed
D the number of copies needed and
the number of employees attending a
meeting
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Texas Practice EOC Assessment 2
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Name
Class
Date
Texas Practice End-of-Course Assessment 2 (continued)
8. The function f (x) = 425 • 0.3x
11. Which graph shows the solution set
of the inequality 3y + x ≥ 5?
represents the population of a fire ant
farm after x days of being tested with
a new pesticide. Which statement best
describes the situation?
A
F The initial population is 425 ants.
The population decreases by 70%
each day.
G The initial population is 425 ants.
The population increases by 30%
each day.
H The initial population is 425 ants.
The population decreases by 30%
each day.
J The initial population is 425 tree frogs.
The population increases by 70%
each day.
B
9. The product of two factors is
12x2 – 12x – 24. One of the factors is
(3x – 6). What is the other factor?
A (4x + 3)
C
B (4x + 4)
C (6x + 4)
D (6x + 8)
10. Which equation best represents the line
of best fit for the scatter plot below?
D
F y = –0.77x + 29.95
G y = –1.03x + 33.21
H y = –1.23x + 36.5
J y = –1.34x + 38.32
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Name
Class
Date
Texas Practice End-of-Course Assessment 2 (continued)
12. The equation y = 7.85x represents the
15. Which of the following shows a
cost, y, for x pounds of trail mix. What is
the rate in dollars/lb?
relationship that is a function?
A
Record your answer and fill in the
bubbles on your answer document.
13. Which of the following is a solution to
the equation 6x + 1 = 2x2?
A 3+
B
3 – 11
2
C –3 –
D
11
B
11
3+ 7
2
14. Which of the following shows the
correlation coefficient and the equation
for the line of best fit for the data in the
table? Let x be the price of a play ticket
and y be the number of tickets sold.
C
D
F –0.97; –3.3x + 196.49
G –0.98; –3.32x + 195.57
H –0.99; –3.47x + 198.29
J
–0.99; –3.61x + 200.85
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Texas Practice EOC Assessment 2
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Name
Class
Date
Texas Practice End-of-Course Assessment 2 (continued)
16. Solve the equation –2x + 8 + 3x =
19. What are the x-intercepts of the graph of
22 – 2x + 13 for x.
the equation y = x2 – 12x – 45?
A x = –3, x = 15
Record your answer and fill in the
bubbles on your answer document.
B x = 3, x = –15
C x = 9, x = –5
D x = –9, x = 5
17. Which equation is shown on the
graph below?
20. The function y = x2 – 5 is a
transformation of the parent function,
f (x) = x2. Which of the following
correctly describes the transformation?
F vertical stretch by a factor of –5
G transformation right 5 units
H transformation down 5 units
J
transformation left 5 units
21. Simplify (14x2 + 5x – 3) –
(17x2 – 4x + 9).
x
A
y=1 +2
4
A 3x2 + 9x – 12
B –3x2 + x – 12
x
B
C
y= 1 +3
4
C 3x2 + x – 12
D –3x2 + 9x – 12
x
y=1 +4
4
22. What is the equation of the line that
passes through the point (–7, 3) and has
a slope of 2 ?
5
2
F y –3= x+7
5
2
G y – 3 = ( x + 7)
5
2
H y +3= x –7
5
2
J y + 3 = ( x – 7)
5
1x + 5
D y=
4
18. The function f (x) = 8x represents the
total amount you will pay, f (x), for
an Internet television channel if you
purchase the channel for x months.
You have decided to try the service for
at least 3 months. Which inequality
represents the domain of this situation?
F x≥3
G x≤3
H x>3
J
x<3
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Texas Practice EOC Assessment 2
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Name
Class
Date
Texas Practice End-of-Course Assessment 2 (continued)
23. What is the slope of the line in
27. What is the solution of the inequality
2(x + 1) > –6?
table below?
A x > –4
B x<4
7
2
5
D x> –
2
C x> –
Record your answer and fill in the
bubbles on your answer document.
24. Simplify
28. What is the equation of the line that is
5 ( 15 + 27).
F
5 3 + 3 15
H
5 15 – 3 3
G
2 3
J
2 15
perpendicular to 2y = –x – 8 and passes
through the point (2, –3)?
F y = 2x + 1
G y= –
25. What is the product of (8x2 + 5)
1x –2
2
1x –1
2
J y = 2x – 7
H y= –
(2x2 – x + 10)?
A 16x4 – 8x3 + 70x2 – 5x + 50
B 16x4 + 8x3 + 90x2 – 5x + 50
29. Suppose y varies directly with x. Write
C 16x4 – 8x3 + 80x2 + 5x + 50
an equation for the direct variation if
y = –7 when x = 21.
D 16x4 – 8x3 + 90x2 – 5x + 50
A y = 3x
26. The graph below shows the solution for
which system of equations?
F
5 x + 5 y = 10

 –4x + 2y = 8
G
2 x + 2 y = – 30

3x + 3y = – 45
H
J
1x
3
C y = –3x
1
D y= – x
3
B y=
 5 x + 5 y = 15

 –8x + 2y = 16
 x + y = – 15

 x – y = 12
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Texas Practice EOC Assessment 2
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Name
Class
Date
Texas Practice End-of-Course Assessment 2 (continued)
30. A dairy farmer will mix milk that has 6%
33. What is the value of x in the solution to
butterfat with milk that has 1% butterfat
to create 225 gallons of milk containing
5% butterfat. Which system of equations
models this situation?
the system of equations below?
6x + 3y = 24
6x + 2y = 30
 x + 0.01y = 225

0.06x + y = 0.05(225)
 x + y = (0.05)225
G 
0.06x + 0.01y = 225
Record your answer and fill in the
bubbles on your answer document.
F
34. What is the equation of the line that is
H
 x + y = 225

0.06x + 0.01y = 0.05(225)
J
0.06x + y = 0.05(225)

 x + 0.01y = (225)
parallel to the line – 8 = – 1 x – y and
3
3
passes through the point (–1, –4)?
F y = 3x – 1
8
3
G y= – x–
31. Which expression is equivalent to
H y=
2 –2 3
 2x y

3
 y
A


?
J
6x 6
y15
C
8x5
y2
20
3
8 x – 29
3
8
y = – 1 x – 13
3
3
35. Solve the equation –5x + 13 = –x – 3.
A 4
C 2
6
B
8x
y15
D 8x6y3
B
32. A community college is trying to
–5
3
D
5
2
36. Which is the best estimate to the system
reduce the number of pounds of
paper it uses each year. The equation
P(t) = 580 • 0.97t where t is the number
of years since the reduction started.
Which best describes the range of this
exponential function?
of equations shown in the graph below?
F t>0
G 580 ≥ P(t) > 0
H t ≤ 580
J
P(t) ≤ 580
F (2.3, 1.3)
G (1.3, 2.3)
H (3.7, 2.7)
J
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(2.7, 3.7)
Texas Practice EOC Assessment 2
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Name
Class
Date
Texas Practice End-of-Course Assessment 2 (continued)
37. Which graph shows an x-intercept of 6?
A
38. Which quadratic function is equivalent
to y = –4x2 – 8x – 9?
F y = –4(x + 1)2 – 5
G y = –4(x – 4)2 – 5
H y = –4(x + 2)2 – 11
J y = –4(x – 10)2 + 1
39. What is true about the graph of the
exponential function f (x) = 15 • 0.5x?
A It increases from left to right.
B
B It decreases from left to right.
C It crosses the x-axis at 0.5.
D It crosses the y-axis at 0.5.
40. What is the domain of the function
y = 5x2 – 4x + 1?
2
F x≥ –
5
G all real numbers
2
H x≥
5
J x≥1
C
41. A farrier purchases steel horseshoes for
$4 a pair and aluminum horseshoes for
$6 a pair. If he pays $100 cash, which
equation best shows that he has $24
left over after purchasing s pairs of steel
shoes and a pairs of aluminum shoes?
D
A 100 – 4s – 6a = 24
B 100 – 6s – 4a = 24
C 100 – 10(s + a) = 24
D 100 – 24 = 10(s + a)
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Texas Practice EOC Assessment 2
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Name
Class
Date
Texas Practice End-of-Course Assessment 2 (continued)
42. What are the roots of the quadratic
45. Which system of inequalities is
equation 0 = 8x2 + 14x?
7
F 0 and –
4
7
G 0 and
4
7
H 2 and –
4
7
J 2 and
4
represented by the graph below?
43. You plan to spend up to d dollars at a
3y < –2 x – 9
 3y  x – 3
fun park. You will pay $14 for a round of
mini golf and spend $1.50 per game for
g games in the arcade. Which inequality
models this situation?
A 
3y  –2 x – 9
 3y  x – 3
B 
A d ≤ 14g + 1.5
B d ≥ 14g – 1.5
3y  –2 x – 9
 3y  x – 3
C 
C d ≥ 1.5g + 14
D d ≤ 1.5g + 14
3y  –2 x – 9
 3y < x – 3
D 
44. The quadratic function below models
the change in elevation of a person
hiking.
46. The graph of a quadratic equation is
shown below.
What is the y-intercept?
How many hours long was the hike?
F (2, 0)
F 10 hours
H 8 hours
G (0, 2)
G 4 hours
J
6 hours
H (4, 0)
J
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(0, 4)
Texas Practice EOC Assessment 2
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Name
Class
Date
Texas Practice End-of-Course Assessment 2 (continued)
47. The table shows the number of visitors at
49. When a store releases a new cell phone
a bank each hour of a workday.
to customers, it expects its sales to
decrease by 5% each month after the
initial month. If the store sells 682 of
a particular phone the first month,
which exponential function models
this situation x months after the initial
month?
A f (x) = 682 • 1.05x
B f (x) = 682 • 0.05x
C f (x) = 682 • 0.95x
D f (x) = 682 • 1.95x
50. What is the rate of change?
f (x) = – 3 x + 7
5
8
Record your answer and fill in the
bubbles on your answer document.
Which quadratic function is a
reasonable fit for this data?
51. How will the graph of f (x) = x2 + 8 be
A y = –3.78x2 + 28.99x – 2.38
 
affected if x2 becomes 1 x
4
B y = –3.63x + 27.95x – 2.42
2
C y = –3.85x2 + 30.1x – 6.19
2
?
A There will be a vertical stretch by a
D y = –3.74x2 + 28.58x – 1.96
factor of 4.
B There will be a horizontal
compression by a factor of 4.
C There will be a horizontal stretch by a
factor of 4.
D There will be a vertical compression
by a factor of 4.
48. The graph of which equation is
shown below?
F y = 6x2 – 7x – 3
G y = 6x2 + 7x – 3
H y = 6x2 + x – 3
J
y = 3x2 + 7x – 3
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Texas Practice EOC Assessment 2
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Name
Class
Date
Texas Practice End-of-Course Assessment 2 (continued)
52. Which of the following shows what
53. What is the slope of the line of 2 + y = 7?
happens to the graph of y = 3 x if 3 x
4
4
becomes 3 x – 3?
4
A undefined
B 5
C 2
F
D 0
54. The table shows the number of yeast
cells that generate over time.
G
Which exponential function is a
reasonable fit to the data?
H
F y = 4033 • 2.89x
G y = 2536 • 1.51x
H y = 1111 • 1.38x
J
y = 2233 • 1.22x
J
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Texas Practice EOC Assessment 2
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