Name _______________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
22. How many solutions does the system of
equations graphed below have?
19. What is the correlation coefficient based
on the scatter plot below?
A 1
C 0
B 0.85
D 1
A none
C 2
B 1
D infinitely many
23. Which ordered pair is not a solution of
the system graphed below?
20. The squared residuals of lines of fit A and
B are calculated. Line A better fits the
data. Which of the following could be
true?
A The sum of the squared residuals of
A and B is 1.25.
B The sum of the squared residuals of
A is 1, and the sum of the squared
residuals of B is 0.25.
C The sum of the squared residuals of
A is 0.82, and the sum of the squared
residuals of B is 1.01.
D The sum of the squared residuals of
A is 4.5, and the sum of the squared
residuals of B is 2.8.
21. Which equation would make this system
have an infinite number of solutions?
y  x  2

 ________
A 2y  2x  2
C y  2x
B y 2 x
D y  3x  1
A (5, 10)
C (0, 4)
B (4, 12)
D (12, 0)
24. Alex is buying drinks and snacks for a
party and wants to spend less than $45.
Drinks cost $2 each, and snacks cost $4
each. He needs to buy at least 11 drinks
and snacks altogether. Write a system
that represents this situation.
________________________________________
Name _______________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
25. A scientist is observing a dish of cells.
The dish contains six cells that are
dividing every minute. Which function
best represents the number of cells in
the dish at time x?
A f (x)  6  2
C f (x)  2  6
B f ( x )  6x
D f ( x )  2x
x
30. Which regression equation best fits the
data shown on the table?
A
B y 4
0
2
4
6
y
5
2.3
1.3
0.63
x
A
1

26. The ordered pairs  3,  and (2, 16)
2

are solutions to an exponential equation.
What is the equation?
8x
y
4
x
 1
y  5.2   
4
x
B y  5.1 2x
3
C y  5 
2
x
D y  4.4  0.7x
C y  4(2)
x
31.
D y  32(4)
x
x
27. A motorcycle with an initial value of
$14,000 is decreasing in value at
a rate of 3% each year. At this rate,
approximately what will the value of the
motorcycle be in 9 years?
What is the interquartile range of the data
shown above?
A $14,000
C $9800
A 8
C 30
B $10,650
D $550
B 18
D 40
28. What is the common ratio of the
sequence 8, 12, 18, 27,... ?
A 
3
2
C
1
2
B 
1
2
D
3
2
32. Which inequality is shown on the graph?
29. Would each of the following data sets be
best described by an exponential model?
A {(2, 4), (3, 9), (4, 16), (5, 25)}
Yes
No
B {(2, 1), (3, 0), (4, 1), (5, 0)}
Yes
No
A y
1
x 1
3
C y  3x  1
B y
1
x 1
3
D yx
C {(2, 64), (3, 16), (4, 4), (5, 1)}
Yes
No
1
3
Name _______________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
33. Which is a recursive rule for the
arithmetic sequence 22, 15, 8, 1….?
38. Ben wants to get a 94 in math class. His
grade will be the average of two test
scores. He scored an 89 on the first test.
What grade does Ben need to get on his
second test to meet his goal?
A f(1)  22; f(n)  f(n  1)  7 for n  1
B f(1)  22; f(n)  f(n  1)  7 for n  1
C f(1)  1; f(n)  f(n  1)  7 for n  1
________________________________________
D f(1)  7; f(n)  f(n  1)  7 for n  1
34. What is an equation for a line with a
y-intercept of (0, 1) that contains the
point (4, 18)?
A y 
17
x 1
4
C y
17
x 1
4
B y 
17
x 1
4
D y
17
x 1
4
39. What is the y-value of the solution of the
6 y  6 x  40
?
system 
 4 y  12 x  48
________________________________________
40. How many significant digits does the
measurement 1020 millimeters have?
35. Which functions have a rate of change
greater than the function represented in
the table?
x
1
2
3
4
f(x)
2
3
8
13
A y
11
x 5
2
B 3 x 
1
y 3
2
1
2
y x
9
3
D y  4.5x  10
C
Yes
No
Yes
No
Yes
No
Yes
No
________________________________________
41. High temperatures for five days in New
York were 70 F, 80 F, 77 F, 66 F, and
59 F. What was the range of
temperatures?
________________________________________
42. Scores on a chemistry test are normally
distributed. The mean score is 80 and the
standard deviation is 8. 1200 students
took the test. About how many students
scored less than 72?
________________________________________
36. What is the slope of a line that contains
the points (4, 8) and (2, 8)?
43.
_______________________________________
x
5
2
3
4
y
1
3
8
13
Raj graphed the line of best fit for the
data above. What is the slope of the line?
37. The sum of the measures of two angles is
180. The difference between the angle
measures is 70. What is the measure of
the smaller angle?
________________________________________
44. What is the x-value of the solution to the
 y  2x

system 
?
1
 y  2 x  6
_______________________________________
________________________________________
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3
Name _______________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
For 45–46, use the graph.
49. Line segment PQ with endpoints P(4, 2)
and Q(2, 0) is rotated 90° clockwise
around the origin. What are the
coordinates of the midpoint of PQ?
________________________________________
50. Use the graph.
45. Which segment is congruent to EF ?
_______________________________________
46. What is the midpoint of GH ?
_______________________________________
Which transformation maps RST to
R ST ?
Use the following information for 47–48.
A (x, y)  (x  6, y  6)
In the figure, mKJL  32.
B (x, y)  (x  6, y  6)
C (x, y)  (x  6, y  6)
D (x, y)  (x  6, y  6)
Use the figure for 51–52.
47. What is the value of x?
_______________________________________
48. What is mKJM?
51. How many lines of symmetry does the
figure have?
_______________________________________
________________________________________
52. What are the angles of rotation less than
360 for the figure?
________________________________________
Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor.
4
Name _______________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
57. In the figure, m2  75.
Use the following information for 53–54.
In the figures below, ABC  LNM .
53. What is the value of x?
_______________________________________
What is m7?
54. What is the value of y?
________________________________________
_______________________________________
58. The measures of two complementary
angles are represented by the
expressions (3x  16) and (5x  18)
Find the value of x.
Use the graph for 55–56.
________________________________________
59. Write an equation for the line that passes
through (1, 3) and is perpendicular to
1
y  x  5.
2
________________________________________
60. Write an equation for the line that passes
through (3, 2) and is parallel to
2x  3y  3.
55. What transformations can you use to
show that quadrilaterals DEFG and
D'E'F'G' are congruent?
________________________________________
_______________________________________
61. In the figure, the measure of 2 is 55.
_______________________________________
56. Express the transformations as a single
mapping rule in the form of
(x, y)  (?, ?).
_______________________________________
What is the measure of 4?
________________________________________
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5
Name _______________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
66. In the figure, PQ  PS.
62. Use the figures.
Determine the value of x that ensures
that the triangles are congruent.
Explain why
_______________________________________
PQR 
PSR.
________________________________________
For 63–64, state the additional congruency
statement or statements needed to prove
ABC  XYZ for the given theorem.
________________________________________
67. Use the figure.
Answer True or False for each statement.
63. ASA Theorem
A Angle MKL is an exterior angle of
triangle JKM.
_______________________________________
True
64. AAS Theorem
False
B Angle KML is an exterior angle of
triangle JKM.
_______________________________________
True
65. Look at the figure below.
False
C Angles MKL and KLM are
complementary.
True
False
D x = 35
True
False
68. The sum of the measures of the interior
angles of a regular polygon is 900. How
many sides does the polygon have?
Are triangles DEF and FGH congruent?
Explain why or why not. If the triangles
are congruent, write a congruence
statement.
________________________________________
_______________________________________
_______________________________________
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6
Name _______________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
69. Triangle RST is an isosceles triangle with mR  120. What is mS? Explain your
reasoning.
_______________________________________
_______________________________________
70. The lengths of two sides of a triangle are 5 meters and 8 meters. If x represents the length
of the third side in meters, which inequality gives all possible lengths for the third side?
A 3  x  13
B 3  x  13
C x  3 or x  13
D x  3 or x  13
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7
Name _______________________________________ Date __________________ Class __________________
Answer Key
End-of-Year Test Modules 1–25
19. A
20. C
55. a reflection over the y-axis, then a
translation 1 unit left and 6 units down
21. B
56. (x, y)  (x  1, y  6)
22. A
57. 105
23. C
58. x 7
2d  4s  45
24. 
d  s  11
59. y  2x  1
25. A
2
60. y   x  4
3
26. C
61. 35
27. B
62. x  9
28. A
63. AC  XZ
29. A No B No C Yes
30. D
64. AB  XY or BC  YZ
65. Yes; the figure shows that DF  GF and
EF  HF . DFE and GFH are vertical
angles, so DFE  GFH. Therefore,
DEF  GHF by SAS.
31. A
32. A
33. A
34. C
66. It is given that
35. A Yes B Yes C Yes D No
PQR and
PSR are
right triangles and PQ  PS. PR  PR by
the Reflexive Property, so
PQR  PSR by HL Theorem.
36. 0
37. 55
38. 99
67. A False B True C False D True
39. 16
68. 7 sides
40. 3
69. mS  30; the base angles of an
isosceles triangle are congruent. Since
R is an obtuse angle, the unknown
angles are the acute base angles of the
triangle. The sum of the base angles is
180  120  60, so each base angle is
equal to 30.
41. 21F
42. 191
43. 1.04
44. 4
45. AB
46. (3.5, 1.5)
70. A
47. x  7
48. 70
49. (1, 1)
50. D
51. 5
52. 72, 144, 216, 288
53. x  9
54. y 8
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8