Rational vs. Irrational
Square and Cube Roots
Scientific Notation
Properties of Exponents
Angle Relationships
100
True or False
The square root of non-perfect squares and the cube root of non-perfect cubes are irrational.
True
Examples
sqrt10
root (3) (25)
100
The square root of 75 is between what two whole numbers? Which whole number is it closer to?
sqrt 64 < sqrt75 < sqrt 81
8 < sqrt75 < 9
Closer to 9
100
Write the following number in standard form.
7.65 * 10^-5
.0000765
100
What value of x would make the equation true?
3^5 * 3^x = 3^8
x = 3
100
Match the definition to the vocabulary word.
A) Two angles whose sum is 180 degrees.
B) Two angles whose sum is 90 degrees.
C) When two lines intersect, the angles on opposite sides of a vertex that are equivalent.
1) Vertical
2) Complimentary
3) Supplementary
A --> 3
B -->2
C --> 1
200
Which of the following are rational numbers?
sqrt 121
-5/8
sqrt 20
.451
2pi
sqrt 121
-5/8
.451
200
A square garden has an area of 49 square yards.
Write and solve an equation to determine the length of the gardens sides.
Area = Length x Width
The length and width are the same because it is a square.
49 = x * x
49 = x^2
Sqrt 49 = sqrt (x^2)
7 = x
200
2.3 * 10^6 * 5 * 10 ^4 =
2.3 * 10^6 * 5 * 10 ^4 =1.15 * 10^11
200
What value of x would make the equation true?
(4^3)^x = 4^15
x = 5
200
Determine the value of x and y
x= 50
y = 130
300
Write .454545... as a fraction.
45/99
300
A cube has a volume of 64 cubic inches.
What is the area of one face?
L * W * H = Volume
x * x * x = 64
x^3 = 64
root (3) (x^3) = root (3) (64)
x = 4
4 * 4 = 16
300
The radius of the Earth is approximately
6.4 * 10 ^6 meters
The radius of Saturn is approximately
5.8 * 10^7 meters
How many times larger is the radius of Saturn compared to the radius of Earth?
(5.8 * 10^7)/(6.4 * 10 ^6) = .91 * 10 ^1 = 9.1
300
What value of x would make the equation true?
1/6^5 = 6^2 / 6^x
x = 7
300
What is the value of y and x?
Y = 40
x = 67