Real Numbers And The Pythagorean Theorem Worksheet - Chapter 7 Page 14
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46Copy and complete the statement with <, >, or =.
√
—
—
—
—
1
8
3
3
√
23. −
−
√
√
—
3
—
24.
0.001
0.01
25.
64
64
4
125
26.
DRAG RACE
The estimated velocity v (in miles
per hour) of a car at the end of a drag race is
√
—
p
v = 234
—
3
, where p is the horsepower of the
w
car and w is the weight (in pounds) of the car. A car
has a horsepower of 1311 and weighs 2744 pounds.
Find the velocity of the car at the end of a drag race.
Round your answer to the nearest whole number.
27.
NUMBER SENSE
There are three numbers that are their
own cube roots. What are the numbers?
28.
LOGIC
Each statement below is true for square roots. Determine whether
the statement is also true for cube roots. Explain your reasoning and give an
example to support your explanation.
a. You cannot fi nd the square root of a negative number.
b. Every positive number has a positive square root and a negative square root.
29.
GEOMETRY
The pyramid has a volume of
1
x in.
2
972 cubic inches. What are the dimensions
of the pyramid?
x in.
30.
RATIOS
The ratio 125 : x is equivalent to the
2
ratio x
: 125. What is the value of x?
x in.
Solve the equation.
(
)
31. (3x + 4)
3
= 2197
(
3
− 9
)
3
= 5832
(5x − 16)
3
− 4
3
= 216,000
32.
8x
33.
Evaluate the expression.
(Skills Review Handbook)
2
2
2
2
2
2
2
2
+ 4
+ 15
− 5
− 24
34. 3
35. 8
36. 13
37. 25
38.
MULTIPLE CHOICE
Which linear function is shown by the table?
(Section 6.3)
x
1
2
3
4
y
4
7
10
13
1
1
y =
x + 1
y = 4x
y = 3x + 1
y =
○
—
○
○
○
—
x
A
B
C
D
3
4
Section 7.2
Finding Cube Roots
299
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