Rational vs. Irrational Numbers
Slope and Y-Intercept
Scientific Notation
Pythagorean Theorem
Exponent Rules
100
0.5 is a rational number. Why?
Because it stops or terminates
100
What is slope intercept form? (The equation)
y = mx + b
100
Change to Scientific Notation ...
53,000
5.3 x 104
100
Is a triangle with these sides: 3, 4, 5 a right triangle?
Yes
100
Anything raised to a zero power is equal to_____.
1
200
Is 4/9 rational or irrational? Explain.
It is rational. It is a ratio of two integers, or a fraction
200
What is the slope?
y = 3x - 5
m = 3
200
Change to Scientific Notation ...
0.000023
2.3 x 10-5
200
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
200
x8x7
x15
300
Is this number rational or irrational and why? √(5)
It is irrational, because it is the square root of an imperfect square
300
What is the y intercept?
y = -3x - 7
b = -7
300
Solve using Scientific Notation
(2.6 x 107) x (4.1 x 10-3)
1.066 x 105
300
Use the Pythagorean theorem a2 + b2 = c2 to find the missing LEG for the triangle with b=9 and c=20.
a = 17.9
300
Simplify:
(10x11)(9x12)
What is 90x23
400
Is 44.534593... rational or irrational? Explain.
Irrational, decimal does not terminate and does not repeat.
400
-2
400
Solve using Scientific Notation
(6 x 103) x (2 x 105)
1.2 x 109
400
Sally walks away from her house. She walks 25 m west then 15 m south. How far, in meters, is she from her house?
29.2 meters
400
Simplify:
(3x2y3)3
27x6y9
500
Is this number rational or irrational: √(25)? Why?
The square root of 25 is rational, because it is the square root of a perfect square.
500
What is the y-intercept of this graph?
-2
500
Solve using Scientific Notation
(2 x 107) / (8 x 104)
2.5 x 102
500
A 13 foot ladder is placed 5 feet away from a wall. How many feet up the wall will the ladder reach?
12 feet
500
6a10b9
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3ab3
2a9b6