Download End-of-Year Test Modules 1–25

Name ________________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
7. The graph represents Lea’s distance from
home over time. What is happening at the
part of the graph labeled “B”?
1. Which measurement is the most precise?
A 5.52 m
C 5.516 m
B 552 cm
D 550 cm
2. Solve the inequality −
3 y
1
< +1 .
4 8
4
A y < −16
C y < 16
B y > −16
D y > 16
3. For each sequence, is the common
difference equal to 2?
A f (n) = 2n − 4
Yes
No
A Lea is stopped.
B f (n) = 4n − 2
Yes
No
B Lea is walking away from home.
Yes
No
Yes
No
C f (n ) =
n
2
D f (n) = 2n
C Lea is walking toward home.
D Lea is slowing down.
8. The formula a university uses to charge
tuition is T = 500h − 275, where h is the
number of class hours a student is taking.
Solve the formula for h.
4. What is the range of the relation
{( −1, 2), (2, 4), (3, − 5), ( −4, − 3)} ?
A {2}
C {−4, − 1, 2, 3}
B {−5, − 3, 2, 4}
D {−1, 2, 3, − 5}
________________________________________
5. Franco has x quarters, 12 one-dollar bills,
and half as many ten-dollar bills as
quarters. Which expression represents
the amount of money Franco has in
dollars?
9. Which equation is graphed below?
A 20.25 x + 12
B 10.25 x + 12
C 5.25 x + 12
D 0.25 x + 10 x + 12
6. Which is the solution to
9q + 24 = 3(3q − 4)?
1
x +3
2
A q = −2
A y=
B q=2
B y = 2x + 3
C y =−
1
x+3
2
D y = −2 x + 3
C no solution
D q is all real numbers.
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Name ________________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
15. Which of the following rules for an
arithmetic sequence matches the pay
scale represented in the table below?
10. What is the fourth term of a sequence
with the recursive rule f (1) = −3.5;
f (n ) = −2f (n − 1) for n > 1?
A −28
C 14
B −2.5
D 28
11. What are the x- and y-intercepts of
7
7 x − y = −49 ?
2
Hours of
Work
1
2
3
4
Pay
$11
$20
$29
$38
A f (n ) = 9n + 20
B f (n ) = 9n + 11
A x-intercept: (−7, 0); y-intercept: (0, −14)
B x-intercept: (−7, 0); y-intercept: (0, 14)
C f ( n ) = 9n + 2
C x-intercept: (14, 0); y-intercept: (0, −7)
D f ( n ) = 9n
D x-intercept: (14, 0); y-intercept: (0, 7)
16. What is the domain of f ( x ) =
12. A cup contains 75 milliliters of water, from
which 3 milliliters of water are poured out
every second. Which function shows the
amount of water in the cup after
t seconds?
C w (t ) = 3t − 75
B −1
B x≥0
D y≥0
Yes
No
Yes
No
C y > −2 x + 17
Yes
No
D y + 6 ≥ x + 14
Yes
No
B y +4≤
75 − t
3
13. What is the slope of a line that contains
the points (−4, −8) and (2, −2)?
5
3
C x<0
A y < −4 x + 32
B w (t ) = 75 − 3t
A −
A all real numbers
17. Does each linear inequality have the
ordered pair (0, 8) as a solution?
A w (t ) = 75 + 3t
D w (t ) =
C
4+x
?
12
x
+ 10
2
18. Which type of correlation best describes
the data represented in the table below?
5
3
Price of Stock Over Time
D 1
14. Which best describes the solutions to
−12 x ≤ 90 ?
1998
2002
2006
2010
2014
$21
$22
$20
$17
$14
A all numbers less than −7.5
A Strong positive
B all numbers greater than −7.5
B Negative
C all numbers less than or equal to −7.5
C Positive
D all numbers greater than or equal
to −7.5
D None
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209
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
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 none
C 2
B 1
D infinitely many
23. Which ordered pair is not a solution of
the system graphed below?
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 = 2 x + 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.
________________________________________
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Name ________________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
30. Which regression equation best fits the
data shown on the table?
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
x
B f ( x ) = 6x
y=
B y =4
B
D y = 32(4)
C $9800
B $10,650
D $550
3
2
C
1
2
B −
1
2
D
3
2
y
5
2.3
1.3
0.63
x
y ≈ 5.1× 2 x
x
31.
x
What is the interquartile range of the data
shown above?
A 8
C 30
B 18
D 40
32. Which inequality is shown on the graph?
28. What is the common ratio of the
sequence −8, 12, −18, 27,... ?
A −
6
D y ≈ 4.4 × 0.7 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?
A $14,000
4
⎛3⎞
C y ≈ 5×⎜ ⎟
⎝2⎠
C y = 4(2)x
x
2
⎛ 1⎞
A y ≈ 5.2 × ⎜ ⎟
⎝4⎠
D f ( x ) = 2x
8x
4
0
x
1⎞
⎛
26. The ordered pairs ⎜ −3, ⎟ and (2, 16)
2⎠
⎝
are solutions to an exponential equation.
What is the equation?
A
x
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
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211
Name ________________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
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?
33. Which is a recursive rule for the
arithmetic sequence 22, 15, 8, 1….?
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
Yes
No
Yes
No
1
2
y= x
9
3
Yes
No
D y = 4.5 x − 10
Yes
No
B −3 x +
C
1
y =3
2
________________________________________
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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212
Name ________________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
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′?
For 45–46, use the graph.
________________________________________
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?
________________________________________
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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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214
Name ________________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
62. Use the figures.
66. In the figure, PQ ≅ PS.
Determine the value of x that ensures
that the triangles are congruent.
Explain why
________________________________________
________________________________________
For 63–64, state the additional congruency
statement or statements needed to prove
ABC ≅ XYZ for the given theorem.
+
+PQR ≅ +PSR.
________________________________________
+
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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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.
74. In the figure, LP, MP, and NP are
perpendicular bisectors.
________________________________________
________________________________________
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?
If LP = 5, LH = 12, HP = 13, and
PM = 6, what is PJ ?
A 3 < x < 13
________________________________________
B 3 ≤ x ≤ 13
75. In the figure, point W is the incenter of
triangle XYZ.
C x < 3 or x > 13
D x > 3 or x < 13
For 71–72, use the figure.
If RW = 5 and WY = 14, what is WT ?
________________________________________
71. If EG = 4, what is GC?
76. ABCD is a quadrilateral with BE ≅ ED
and ∠BCD ≅ ∠DAB.
________________________________________
72. If AF = 15, what is AG?
________________________________________
73. In the figure, MN is the midsegment of
JKL.
+
If EC = 16 cm, m∠ABC = 64°,
AE = 3x − 5, and m∠DAB = (4y − 12)°,
for which values of x and y is ABCD a
parallelogram?
A x = 7, y = 19
B x = 32, y = 7
C x = 7, y = 32
If KM = 11 cm and KL = 24 cm, what is
KN ?
D x = 8, y = 19
________________________________________
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Name ________________________________________ Date __________________ Class __________________
End-of-Year Test Modules 1–25
80. A parallelogram has vertices
D(−4, −1), E(2, 5), F(4, 3), and G(−2, −3).
Determine whether DEFG is a rhombus,
rectangle, or neither. Explain your
reasoning.
77. State whether each quadrilateral has
congruent diagonals.
A parallelogram
Yes
No
B rhombus
Yes
No
C rectangle
Yes
No
D isosceles trapezoid
Yes
No
________________________________________
E kite
Yes
No
________________________________________
78. GIJL is a trapezoid with midsegment HK .
81. KLMN is an isosceles trapezoid.
If IJ = 18 cm and GL = 42 cm, what is HK?
What is the missing x-coordinate of N?
________________________________________
________________________________________
79. Triangle PQR is shown in the graph.
Use the following information for 82–83.
The figure is symmetric about the x-axis.
Use the coordinates of the vertices to
determine whether each statement is
True or False.
A Triangle PQR is a right triangle.
True
82. Find the perimeter of the figure. Round to
the nearest tenth.
False
B Triangle PQR is scalene.
True
________________________________________
False
83. What is the area of the figure?
C Triangle PQR is isosceles.
True
False
________________________________________
D Triangle PQR is an acute triangle.
True
False
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217
Answer Key
End-of-Year Test Modules 1–25
1. C
36. 0
2. B
37. 55°
3. A Yes B No C No D Yes
38. 99
4. B
39. −16
5. C
40. 3
6. C
41. 21°F
7. A
42. 191
8. h =
T + 275
500
43. 1.04
44. 4
9. C
45. AB
10. D
46. (3.5, −1.5)
11. B
47. x = 7
12. B
48. 70°
13. D
49. (1, −1)
14. D
15. C
50. D
16. A
51. 5
17. A Yes B No C No D Yes
52. 72°, 144°, 216°, 288°
18. B
53. x = 9
19. A
54. y = 8
20. C
21. B
55. a reflection over the y-axis, then a
translation 1 unit left and 6 units down
22. A
56. (x, y) → (−x − 1, y − 6)
23. C
57. 105°
⎧2d + 4s < 45
24. ⎨
⎩d + s ≥ 11
58. x = 7
59. y = −2x − 1
25. A
60. y = −
26. C
2
x+4
3
27. B
61. 35°
28. A
62. x = 9
29. A No B No C Yes
63. AC ≅ XZ
30. D
64. AB ≅ XY or BC ≅ YZ
31. A
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.
32. A
33. A
+
34. C
35. A Yes B Yes C Yes D No
+
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277
66. It is given that
+PQR and +PSR are
76. C
right triangles and PQ ≅ PS. PR ≅ PR by
the Reflexive Property, so
PQR ≅ PSR by HL Theorem.
+
77. A No B No C Yes D Yes E No
78. 30 cm
+
79. A False B False C True D True
67. A False B True C False D True
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°.
80. rectangle; using the Distance Formula,
DE = FG = 6 2, EF = DG = 2 2, so the
figure has opposite sides that are
congruent. The slope of DE = slope of
GF = 1 and slope of EF = slope of
DG = −1, so the figure has two pairs of
parallel sides, and consecutive sides are
perpendicular. Therefore, the figure
is a rectangle.
70. A
81. 2a + b
71. 8
82. 19.3 units
72. 10
83. 24 square units
68. 7 sides
73. 12 cm
74. 13
75. 5
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278