rational / irrational
A number is rational if it can be
written as a simple fraction
The name for the formula a2+b2=c2 is
Pythagorean Theorem
What is the definition of volume?
The amount of space inside a three dimensional object
A straight line that passes through the origin represents a relationship that is _____________
proportional
What do we call two or more equations that must be solved together?
systems of equations
The most famous irrational number is pi (3.14....). How was pi discovered?
The circumference of a circle is always approximately 3.14 times larger than the diameter
The longest side of a right triangle is called the __________
hypotenuse
How are the volumes of a cone and a cylinder with the same height and the same radius related?
the volume of the cone is 1/3 the volume of the cylinder
What will be true about the graph of y = x2 ?
It will be a curved line
What makes two lines parallel (they never intersect)?
they have the same slope but a different y-intercept
Are repeating decimals rational or irrational?
rational
If a right triangle has legs of length 12 and 9, the length of the hypotenuse is _____________
15
The formula for finding the volume of which object does not contain the variable h (for height)?
a sphere
Which quadrant will the point (5, -6) lie in?
IV
A number is called prime if ......
its only factors are itself and 1
What do you get if you multiply the square root of 17 times the square root of 17?
17
If a right triangle has a leg of length 11, and a hypotenuse of length 31, how long is the other leg?
The square root of 840 or approximately 28.9
What is the volume of a cylinder with a height of 14 cm and a radius of 5 cm?
1099 cubic cm
Situations where you should not connect the points on a graph because decimals and fractions wouldn't make sense are called _____________
discrete
List all of the perfect squares from 1 to 100
What pattern do you see in that sequence of numbers?
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
the gap increases by 2 more each time
The most common form of irrational numbers is ____________
The square root of non perfect squares
What is the area of a right triangle with a height of 27.5 inches and a base of 13.25 inches?
approximately 182 square inches
What is the volume of a cone with height of 18 inches and a radius of 3 inches?
approximately 169.5 cubic inches
What is the slope of the line that connects the points (3, -2) to (-4, 7) ?
- 9/7
How many seconds are there in 1 year?
31,536,000 seconds