Name ___________________________________
Practice Test Chapter 6 – Radical Expressions
Period ___________________
Find the side length of the square. Check your answer by multiplying.
1.
Area = 49 sq cm
s
s
Find the square root(s).
2.
3.
4. You are putting light strings around a square dance floor with an area of 324 square feet. What is the
perimeter of the dance floor?
Find the missing length of the triangle.
5.
143 mi
a
145 mi
Find the value of x.
6.
41 in.
x
40 in.
7. Televisions are advertised by the lengths of their diagonals. A store is having a sale of 10% off all
televisions smaller than 46 inches, and 20% off all televisions 46 inches or larger. What is the sale price
of model B?
Screen
Regular
TV model Screen Height
Width
price
A
22.8 in.
30.4 in.
$500
B
26.6 in.
31.2 in.
$800
C
28 in.
35.1 in.
$1000
D
32.5 in.
36 in.
$1400
E
28 in.
45 in.
$1700
F
41.4 in.
44.8 in.
$2400
8. A quarterback
throws a 15-yard pass to a receiver ( ) at the sideline. How far did the quarterback
actually throw the football?
Find the cube root of the number.
9. –125
10. 0.512
Complete the statement using < or >.
11.
?
12.
?
Tell whether the number is rational or irrational. Explain.
13.
14.
15. –1.355
Which number is greater? Explain.
16.
,6
17.
, 0.15
18. –
,8
19. The time t (in seconds) it takes a water balloon to fall d meters is represented by the equation
.
Find the time it takes the balloon to fall to the ground from a window that is 14 meters high. Round your
answer to the nearest tenth.
Find the ratio of the side lengths.
20.
52 ft
156 ft
Simplify the expression.
21.
22.
23. A square table with an area of 27 square feet sits in the corner of a square storage room. The storage room
has an area of 108 square feet. What is the length x of the available space along the wall in simplest
radical form?
x
24. What is the volume of the box in cubic feet?
70
50
35
25. The ratio 6 : x is equivalent to the ratio x : 24. What are the possible values of x?
26. A cone that is 21 centimeters tall has a volume of 525
cone?
cubic centimeters. What is the radius of the
27. How far is it from one barn door to the other? Round your answer to the nearest tenth.
28 ft
65 ft
Tell whether the triangle with the given side lengths is a right triangle.
28.
6m
6.4 m
9.1 m
3
1
29. 2 𝑘𝑚, 3 4 𝑘𝑚, 4 4 km
Practice Test Chapter 6
1. 7 cm
2.
3.
0.9
4. 72 ft
5. 24 mi
6. 9 in.
7. $720
2
8. 17 𝑦𝑑
3
9. –5
10. 0.8
11. <
12. <
13. rational;
is a repeating decimal.
14. irrational; 13 is not a perfect square.
15. rational; –1.355 is a terminating decimal.
16.
;
is to the right of
17.
0.15; 0.15 is to the right of
18.
;
is positive and
19. 1.7 sec
20. about 3; no
21.
22. 13
23. 3
ft
24. 350 ft
25. 12 or 12
26.
27. 70.8 ft
28. no
29. yes
cm
on a number line.
is negative.
on a number line.