Pre-Algebra Chapter 9 Test REVIEW
Name:
Date:
Please show all work in a neat and legible manner. Box in each answer.
Solve the equation. Round to the nearest tenth if necessary.
1)
2)
25
3)
216
2
4)
3
147
225
Simplify the expression.
5)
√162
7)
8)
6)
√50
Find the unknown length. Write your answer in simplest form.
9)
11)
12 c
7
b 8
20 14
10)
c 16 12)
20
a 30
Determine whether the triangle with the given side lengths is a right triangle.
13) 4, 5, 6
14) 15, 36, 39
15) 24, 45, 51
16) 5, 13, 15
17) Use a number line to order the numbers from the least to greatest: 2√3,4.5,√19,
,3√2
18) Find the midpoint, M, of the segment with endpoints A (-2, 3) and B (4, 6).
19) Find the distance between the points P (-6, -2) and Q (-2, 1).
20) Lightning Protection Many boats have a lightning protection system that includes a mast or
other metal pole extending above the vessel. The pole and all the larger metal parts of the
boat are connected to form a path along which electricity can be conducted to the water. The
system forms a cone of protection extending 60 degrees around the tip of the pole. How far
does the cone extend from the mast at water level (distance DC in the diagram)? Give your
answer to the nearest foot.
B 60°
35 ft C
D Use
ABC to complete the following exercises.
A
21) Find the tangent (tan) ratio of angle A.
60
22) Find the sine (sin) ratio of angle C.
23) Find the cosine (cos) ratio of angle C.
C 48
36
B