Math Models 2nd Semester Review
Name___________________________
Period ______ Date: ______________
1. Triangle ABC is a right triangle. Find the tangent of angle B to the nearest thousandths.
2. Write the coordinates of the image of the point (4, 9) under a reflection in the x-axis.
A (-4, 9)
3.
B (4, -9)
C (-4, -9)
D (9, 4)
On an average winter day in Chicago, the AAA receives 125 calls from people who need help starting
their cars. The number of calls varies, however, depending on the temperature. Here is some
data giving the number of calls as a function of the temperature (in degrees Celsius).
Temperature (ºC)
-12
-6
0
4
9
Number of auto club service calls
250
190
140
125
100
Use your graphing calculator to determine the equation of the regression line for this data.
4. A large publishing company wants to review the ages of its sales representatives. The ages of a
sample of 25 sales reps are as follows.
50 42 32 35 41 44 24 46 31 47 36 32 30
44 22 47 31 56 28 37 49 28 42 38 45
Find the mean for the ages of the sales reps.
A 38.28
B 43.17
C 51.32
D 65.43
5. Use the quadratic formula to solve the equation.
x2+ 4x – 32 = 0
6. Write the next number in the pattern.
-7, -21, -63, -189, …
A -237
7.
B -421
C -567
D -763
Name the intersection of plane QPR and plane EPR.
A QP
B EP
C QR
D PR
8. A triangle ABC has vertices A(2, 8), B(2, 3), and C(11, 3). Dilate the triangle using a scale factor of
2. What are the vertices of the image?
A
B
C
D
A’(4, 16), B’(4, 6), C’(22, 6)
A’(-4, 16), B’(-4, 6), C’(-22, 6)
A’ (4, -16), B’(4, -6), C’(22, -6)
A’(16, 4), B’(6, 4), C’(6, 22)
9. Use the Law of Syllogism to write a new conditional statement that follows from the pair of true
statements.
If Jenelle gets a job, then she can afford a car. If Jenelle can afford a car, then she will drive to
school.
10. (1.5) SUPPLEMENTARY ANGLES:  1 and  2 are complementary angles.
Given the measure of  1, find m 2.
m  1 = 60°
a) 30◦
b) 60◦
c) 120◦
d) 90◦
11. (3.4)FINDING THE SLOPE: Find the slope of the line that passes through the points.
(2, 5) , (6, 6)
a)
1
4
2
b) 1
c)
5
6
3
d) 5
12. (12.7) FINDING SCALE FACTOR: Solid I is similar to Solid II. Find the scale factor of Solid I to Solid II.
a) 5:6
b) 6:5
c) 1: 3
d) 1000:1728
V=1728 in3
V=1000 in3
13 (12.1) APPLYIING EULE’S THEOREM: Find the number of faces, vertices, and edges of the
polyhedron.
Check your answer using Euler’s Theorem. F + V = E + 2
a) 7, 10, 17
b) 10, 10, 17
c) 12, 12, 17
d) 10, 11, 17
14. (12.3) Find the surface area of the regular pyramid. Round your answer to the nearest tenth.
h= 7.1
a= 5
s= 8
b= 5.5
15. (11.5) Find the area of the sector formed by < ABC
<ABC = 70
a) 1593.80 in2
c ) 452.39 in2
r= 12
b) 87.96in2
d) 314.15 in2
16. (11.2) Find the area of the rhombus. d1=36
a) 324
b) 342
c) 648
d) 384
d2= 18
17. (12.2) Find the surface area of the right cylinder using the given radius r and height h. Round your
answer to the nearest hundredth.
r= 9 in
h= 12 in
18. (3.1) Name a line through point E that appears skew to ⃡𝐶𝐷
A. ⃡𝐸𝐻
⃡
B. 𝐸𝐹
⃡
C. 𝐸𝐷
⃡
D. AB
19. (6.6) Round your answers to the nearest hundredth. Find the value of y.
A. 72
B. 2
C. 18
20. (2.4) Name a pair of supplementary angles.
A.  SUT and  TUV
B.  SUT and  VUW
C.  SUW and  TUV
D. There is no supplementary angles
D.
14
21. (3.3) Find the value of x that makes m ∥ n
A. 35°
B. 45.666…°
C. 14.333…°
D. 105°
22. (5.3) For what value of x does P lie on the bisector of  A?
A. 10
B. 5
C. 2
D. 16
23. (9.7) Find the scale factor of the dilation. Then tell whether the dilation is a reduction or an
enlargement. Find the value of x.
5
A. The image is an enlargement and k = . The value of x = 3.
8
B. The image is a reduction and k =
8
5
. The value of x = 3.
5
C. The image is an enlargement and k = . The value of x = 13.
8
8
D. The image is a reduction and k =
5
24. (6.1) Find the value of x.
𝑥
10
=
. The value of x = 13.
𝑥−6
12
25. (10.1) 𝐴𝐺 is best described as ____ of circle S.
A. tangent
B. chord
C. secant
D. point of tangency