Irrational numbers
the ratio of a circle's circumference to its diameter.
Pi
this letter represents the slope of the line. (y=mx+b)
m
On a graph, the solution to a system of two linear equations is the point where the lines do this.
intersect
formula used to find the missing part of a triangle
a2+b2=c2
To find the volume of this 3D shape, you multiply the area of the circular base (pir^2) by the height.
Cylinder
which two whole numbers does √20 go between
4 and 5
This is the y-intercept of a line with the equation y=3x -7
-7
A system of equations has infinitely many solutions when both equations describe the exact same what?
Line
longest side of a triangle
Hypotenuse
A cone has exactly this fraction of the volume of a cylinder with the same radius and height.
1/3
Is the number 0.121121112...rational or irrational?
irrational
solve for x: 2x+10=20
x=5
Solve this system by inspection:
y=2x+5
y=2x-3
No solution
A triangle has leg lengths of 3 and 4. What is the length of the hypotenuse?
5
This is the formula for the volume of a sphere
v=4/3xr2
Estimate the value of √50 to the nearest tenth
7.1
what is the slope of a line that passes through (0,0) and (2,10)
5
Use substitution to find the solution:
y=3x
x+y=20
(5,15)
This set of three whole numbers, such as (5, 12, 13), perfectly satisfies the Pythagorean Theorem.
Pythagorean Triple
If a cylinder has a radius of 2 and a height of 5, what is its volume in terms of pi (3.14)
20pi
True or False: The sum of a rational number and an irrational number is always irrational.
True
a linear equation with no solution happens when lines have the same slope but different what?
y-intercepts
If a system of equations is "consistent and independent," how many solutions does it have?
no more or less than one
To find the distance between two points on a coordinate plane, you can draw a right triangle and use this theorem.
Pythagorean theorem
If you double the radius of a cylinder but keep the height the same, the volume increases by this factor.
4 times