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Pythagorean Theorem
Scientific Notation
Laws of Exponents
Square and Cube Roots
Miscellaneous
100
When using the Pythagorean Theorem, the hypotenuse is always which letter in the equation?
c
100
Write the following in SCIENTIFIC NOTATION: 674,000
6.74 x 10
5
100
Simplify: (x
9
)(x
5
)
x
14
100
What is the square root of 81?
9
100
Rewrite using a positive exponent: b
-7
1/b
7
200
Find the missing side length of this right triangle. a = 5 b = 6 c = ?
c = Square root of 61
200
Write the following in STANDARD FORM: 7.8 x 10
-3
0.0078
200
Simplify: b
12
/b
4
b
8
200
What is the cube root of 125?
5
200
Which of these numbers is larger? 2 x 10
6
or 9 x 10
3
2 x 10
6
300
Find the missing side length of this right triangle. a = 30, b = ?, c = 50
b = 40
300
Multiply (write your final answer in scientific notation): (6 x 10
3
)(9 x 10
5
)
5.4 x 10
9
300
Simplify: (8
-4
)(8
7
)
8
3
300
Simplify: The square root of 60
2 times the square root of 15
300
Write one millionth in scientific notation.
1 x 10
-6
400
Julie said a triangle with side lengths of 4 in, 7 in, and 8 in is a right triangle. Marcos says that it is not. Who is correct?
Marcos
400
How many times larger is 8 x 10
9
than 8 x 10
3
?
1 x 10
6
or 1,000,000
400
What is the value of x? (7
6
)(7
x
) = 7
11
x = 5
400
Solve: x
2
= 49
x = 7
400
Simplify: (x
5
)
-3
1/x
15
500
If a triangle has the following side measurements, is it a right triangle? 12 yds, 15 yds, 9 yds
Yes, it is a right triangle.
500
How many times larger is 28 x 10
7
than 7 x 10
5
?
4 x 10
2
or 400
500
What is the value of n? (y
14
)(y)(y
n
) = y
19
y = 4
500
Solve (simplify your answer using prime factorization): w
2
= 500
w = 10 times the square root of 5
500
Find the slope of the line that passes through these points: (2,-2) and (7, -1)
1/5