Download Practice EOC Assessment 3

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Class
Date
Texas Practice End-of-Course Assessment 3
1. Which is the simplified form of the
mm
4. Solve F = G 1 2 for G.
d2
expression?
5x(x – 4) – 7(2x + 3)
F G=
A 5x – 6x – 21
2
B 5x2 – 34x – 21
G G=F
C 5x2 + 6x + 21
D 5x2 – 34x + 21
2. If f (x) =
H F =G
1 x – 5,
what is f (24)?
3
6
J
43
6
G –12
19
H –
24
F
J
d2 F
m
d2
m1m2
m1m2
d2
G = mF
d
5. Factor 4x2 – 16x + 16.
(4x – 4)(x + 4)
B (2x – 4)(2x + 4)
C (2x + 4)2
D (2x – 4)2
A
53
6
6. Which of the following gives a definition
3. Which function rule is graphed below?
for the arithmetic sequence?
7, 12, 17, 22, 27, . . .
F A(1) = 7; A(n) = 5 • (7)n – 1
G A(1) = 5; A(n) = A(1) + (n – 1) + 7
H A(1) = 7; A(n) = A(1) + (n – 1) + 5
J A(1) = 7; A(n) = 5n + 7
7. Which of the following correlations
represents a causal relationship?
A the number of children in the
household and the size of the
playhouse
B the size of the backyard and the size
of the playhouse
C the size of the playhouse and the cost
per nail
D the size of the playhouse and the
number of nails needed to hold it
together
A y = 2x + 3
y= 1x+3
2
C y = –2x + 3
1
D y=– x+3
2
B
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Texas Practice EOC Assessment 3
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Name
Class
Date
Texas Practice End-of-Course Assessment 3 (continued)
8. A funny video has gone viral on the
11. Which graph shows the solution set of
Internet. The function f (x) = 200 • 1.75x
models the number of views of the
video in x days. Which statement best
describes the situation?
the inequality 3x + 5y < 20?
A
F When the video was first posted, it
attracted 200 viewers. The number of
viewers practically doubled each day.
G When the video was first posted, a
couple of people viewed it. About
200 more people viewed it each day.
H After two days, 200 people had viewed
the video.
J When the video was first posted, it
attracted 175 viewers. The number
of viewers multiplied by a factor of
200 each day.
B
9. The area of a rectangle is 15x2 + 6x + 7.
The length of the rectangle is 5x2 + 2x.
What is the width of the rectangle?
A
3+
7
5x + 2 x
2
C 3
D
B 3x + 7
3x +
C
7
5x + 2
10. Which equation best represents the line
of best fit for the scatter plot below?
D
F y = 245x + 35
G y = 280x
H y = –35x + 245
J y = 35x + 245
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Texas Practice EOC Assessment 3
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Name
Class
Date
Texas Practice End-of-Course Assessment 3 (continued)
12. The table shows the cost, y, for daycare
15. Which of the following shows a
for x days. What is the cost per day?
relationship that is a function?
A sports played by students in
algebra class
B pets owned by students in
algebra class
C heights of students in algebra class
D vegetables liked by students in
algebra class
16. Solve the equation
76 = –5(–3x – 2) + 6 for x.
Record your answer and fill in the
bubbles on your answer document.
Record your answer and fill in the
bubbles on your answer document.
13. Which of the following is a solution to
2
the equation 5x2 – 12 = 168?
A 6.75
C 5
B –6
D –5.59
17. Identify the asymptote of y = 1
x
– 3.
2
y=1
2
3
B y=
2
1
C x=
2
A
14. Which of the following shows the
correlation coefficient and explains how
closely the line of best fit models the
data in the table? Let x be run-up speed
and y be jump distance.
D
y=–3
2
18. Babies’ weight gain is a function of their
age. They grow about six ounces per
week for the first six months of life. What
is a reasonable range of the function?
F 0 < weight (ounces) < 36
G 0 < weight (ounces) < 144
H 0 < age (months) < 6
J
0 < age (weeks) < 24
19. What are the x-intercepts of the graph of
the equation y = x2 – 3x – 28?
A x = 4, x = –7
B x = 4, x = 7
C x = –4, x = 7
F 0.97; The correlation is very strong.
D x = –4, x = –7
G 0.97; The correlation is fairly weak.
H 0.95; The correlation is very weak.
J
0.95; The correlation is fairly strong.
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Texas Practice EOC Assessment 3
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Name
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Date
Texas Practice End-of-Course Assessment 3 (continued)
3 
20. The function y = 1 x
2
24. Simplify –2 24 + 3 3 – 3 6.
is a
transformation of the parent function,
f (x) = x2. Which of the following
correctly describes the transformation?
F horizontal stretch by a factor of 3
F
–7 6 + 3 3
G
–7 6 – 3 3
H
–7 6
J
–3 6
G horizontal compression by a
25. What is the product of (2x + 8)(3x + 7)?
1
3
H vertical stretch by a factor of 3
factor of
A 6x2 – 10x – 56
B 6x2 + 38x + 56
1
J vertical compression by a factor of
3
C 6x2 + 10x – 56
D 6x2 + 56
21. Simplify (8x + 14) + (3x – 2).
26. What are the solutions to the system?
A 5x + 12
–6x – 2y = –24
9x + 3y = 27
B 5x – 12
C 11x – 12
F x = 2, y = 3
D 11x + 12
G x = 3, y = 0
H All real numbers.
22. What is the equation of the line in
J There are no solutions.
standard form that passes through the
points (–4, –2) and (2, 5)?
6
23
F y= x+
7
7
G 7x – 6y = -16
H –6x + 7y = 23
7
8
J y= x+
6
3
27. Solve the inequality
3(3x + 7) > 4 – 8(4 + 5x).
A x < –34
B x > –34
C x > –1
D x < –26
23. What is the slope of the line 15x + 3y = 6?
Record your answer and fill in the
bubbles on your answer document.
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Texas Practice EOC Assessment 3
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Name
Class
Date
Texas Practice End-of-Course Assessment 3 (continued)
28. What is the equation of the line that
31. Which expression is equivalent
is perpendicular to y = –2x + 4 and
passes through the point (1, –3)?
to
1x+ 7
2
2
3
7
G y= – x –
2
2
1x – 7
H y=
2
2
7
1
J y= – x
2
2
F y= –
(2 –4 )3
2(2 –2 )
?
A 1
B 22
1
211
D 25
C
32. The value of a television t years after its
purchase is modeled by the exponential
function f (t) = 1500 • 0.83t. Which best
describes the domain and range of this
exponential function?
29. If y varies directly as x and x = 3 when
y = 15, find y when x = 33.
A 55
F Domain: t > 1
99
5
C 165
5
D
99
Range: 104 ≥ P(t) > 0
G Domain: t ≥ 0
Range: 1500 ≥ f (t) > 0
H Domain: t ≥ 0
Range: 1500 > f (t) ≥ 0
J Domain: t > 0
Range: 1500 > f (t) > 0
B
30. A group of 42 people in a traveling stunt
show performs at a local amusement
park. There are three less than twice
as many people who perform on
skateboards as those who perform on
bicycles. Let s represent the number
of performers on skateboards and b
represent the number of performers on
bicycles. Which system of equations
models this situation?
F
b + s = 42

 s = 2b – 3
H
b + s = 42

 b = 2s – 3
G
b + s = 42

 s = 3 – 2b
J
b + s = 42

 b = 3 – 2b
Pearson Texas Algebra I
33. What is the value of x in the solution to
the system of equations below?
–6x + 4y = –26
–x – 8y = –13
Record your answer and fill in the
bubbles on your answer document.
55
Texas Practice EOC Assessment 3
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Name
Class
Date
Texas Practice End-of-Course Assessment 3 (continued)
37. Which function has a zero at x = –2?
34. What is the equation of the line that is
parallel to the line shown below and that
passes through the point (2, –1)?
A 3x + 4y = 2
B 8x – 2y = 4
C 3x – 2y = –6
D
1x
–y=1
2
38. Which quadratic function has a vertex
at (–2, –3) and passes through the
point (–4, 1)?
F y = x2 + 4x + 4
G y = x2 – 4x + 7
y= –1x+2
2
1
G y=– x
2
H y = 2x
J y = 2x – 5
H y = x2 + 6x + 7
F
J
y = x2 + 4x + 1
39. An exponential function is shown below.
35. Solve the equation 97 = –7x – 3(2x – 2).
A 0
C –12
B 7
D –7
36. Which is the best estimate of the
solution to the system of equations
shown in the graph below?
Which equation best models the
function?
A y = 150(2)x
B

D
y = – 150 1
2
x
y = 150 1
2
C y = –150(2)x

x
F (5.5, –0.8)
G (1.8, –5.2)
H (–5.5, –1.8)
J
(55, –8.0)
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Texas Practice EOC Assessment 3
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Name
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Date
Texas Practice End-of-Course Assessment 3 (continued)
40. What are the domain and range of the
43. Linda is saving her allowance to buy
function y = –2x2 + 5?
a cell phone. She has $42 in her bank
account and she earns $25 per week.
Let p be the cost of the phone and w
be the number of weeks Linda must
save in order to have enough money to
purchase a phone. Which inequality
models this situation?
F Domain: x ≥ 2.5
Range: All real numbers
G Domain: All real numbers
Range: All real numbers
H Domain: All real numbers
Range: y ≤ 5
J Domain: All real numbers
Range: y ≥ 5
A p ≥ 25w + 42
B p ≤ 25w – 42
C p ≥ 25w – 42
41. A sheet of 8 × 10 pictures sells for $7.25
D p ≤ 25w + 42
and a sheet of 5 × 7 pictures sells for
$8.75. Which equation best describes
the number of 8 × 10 sheets, t, and the
number of 5 × 7 sheets, s, that can be
purchased for $50?
44. The quadratic function below models
the path of a hot air balloon. Which
coordinates show where the balloon will
begin its descent?
A 8.75t + 7.25s = 50
B 8.75s + 7.25t = 50
C 16(s + t) = 50
D 50(s + t) = 16
42. The graph of a quadratic equation passes
through (4, 0) and (7, 0). Which quadratic
function has these intercepts?
F y = x2 – 11x + 28
G y = x2 + 3x + 28
H y = x2 – 11x – 28
F (–2.24, 0)
J y = x2 – 3x + 28
G (0, 4.67)
H (2, 6)
J (6.24, 0)
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Texas Practice EOC Assessment 3
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Name
Class
Date
Texas Practice End-of-Course Assessment 3 (continued)
45. Which graph represents the solution set
46. The graph of a quadratic equation is
to the system of inequalities?
y  – 5 x + 2

2

1
y  – x – 2
2

shown below.
A
What is the maximum value?
F y=8
G y = 4.5
B
H x=8
J
x = 4.5
C
D
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Texas Practice EOC Assessment 3
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Name
Class
Date
Texas Practice End-of-Course Assessment 3 (continued)
47. The table shows the diameter of a
49. In the first year of production on a
flower’s bloom d days after it was
planted.
new running shoe, a manufacturer
produced 10,000 of the new brand. Sales
skyrocketed and for each of the next
several years, shoe production went up
by 5.5%. Which exponential function
models the number of running shoes
produced after x years?
A f (x) = 10,000 • 0.055x
B f (x) = 10,000 • 0.945x
C f (x) = 10,000 • 1.055x
D f (x) = 10,000 • 1.945x
50. What is the rate of change of the function
f (x) = –0.25x + 12?
Record your answer and fill in the
bubbles on your answer document.
51. How will the graph of f (x) = 3x2 – 2
Which prediction is based on a
quadratic function that is a reasonable
fit to the data?
be affected if the function changes to
f (x) = 3x2 + 5?
A The vertex of the graph will move left
A The flower only blooms for about
5 units.
10 days.
B The flower will reach its peak bloom
about 35 days after it is planted.
C The flower’s maximum bloom is
about 35 centimeters.
D The flower is pretty.
B The vertex of the graph will move left
7 units.
C The vertex of the graph will move up
7 units.
D The vertex of the graph will move up
5 units.
48. Which quadratic equation has the
solutions –4 and 2?
F 0 = x2 + 2x – 8
G 0 = x2 + 9x + 20
H 0 = x2 – 4x + 12
J
0 = x2 + 4x – 8
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Texas Practice EOC Assessment 3
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Name
Class
Date
Texas Practice End-of-Course Assessment 3 (continued)
52. The line represented by the equation
54. Each year, the local country club
y = –x + 3 is graphed below.
sponsors a golf tournament. The table
below shows the number of remaining
participants after x rounds of play.
Which of the following best describes
the change in the graph if the line
2
becomes y = – x + 3?
3
Based on the exponential function that
best fits the data, which prediction is
true?
F The graph shifts 3 units up.
G The x-intercept will become greater.
F After round 8, a winner will be
H The graph will point up from left
declared.
G The tournament started with
214 participants.
H After round 10, there will be
11 participants remaining.
J The number of participants decreases
by 26% each round.
to right.
J There will become two x-intercepts.
53. Write the equation of the line that is
perpendicular to the line shown in the
graph below through the point (3, 1).
A x=3
B x=1
C y=3
D y=1
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Texas Practice EOC Assessment 3
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