Distance
Midpoint
Slope
Set Notation
Algebra Cocktail
100

What is the distance formula?

d = the square root of (x- x1) + (y2-y1)

100

What is the midpoint formula?

m = ( x1+x2/2 , y1+y2/2 )
100

What is the slope formula?

Change in x over change in y

100

List the domain of the following relation {(a,1), (b,2), (c,3), (e,2)}

{a,b,c,e}

100

What do we call the four parts defined by the lines on a coordinate plane?

quadrants

200

Find the distance (-3, -3) and (5, -9)

10

200

Find the midpoint (0,7) and (3,0)

3/2, 7/2

200

Find the slope of a line passing through (-4, -3) and (2, -5)

-1/3

200

List the range of the following relation {(2,2), (1,1), (1,2), (1,3)}

{1,2,3}

200

What is the range?

the set of all the second members in a relation

300

Find the distance (-2, 0) and (0, -2)

2 square root of 2

300

Find the midpoint of (5, -4) (-1, 5)

(2, 1/2)

300

Find the slope of a line passing through (3/2, 1) and (1, -4/3)

14/3

300

Using the set {1,2,3...10} Find {x| 2<x<8}

{3,4,5,6,7}

300

What is the domain?

the set of all the first members in the relation

400

Find the distance (-2, 3) and (-5, -2)

square root of 34

400

(8,8) (-2,-2)

(3,3)

400

Find the slope of a line passing through the points (-2, 7) and (1,7)

0

400

Find the cartesian product where Q= {2,3,4,5}

{ (2,2) (2,3) (2,4) (2,5) (3,2) (3,3) (3,4) (3,5) (4,2) (4,3) (4,4) (4,5) (5,2) (5,3) (5,4) (5,5) }

400

What is the vertical line test?

We can draw a straight vertical line over a graph to determine if it is a function. If it can intersect more than once, it is not a function.

500

Find the perimeter of a triangle with the vertices at (-1,-2), (2,-2) and (2, 2)

12

500

Find the midpoint of (3, 26/5) and (9, -14/5)

(6, 6/5)

500

( 3, 26/5) and (9, -14/5)

-4/3

500

In the cartesian product of Q= {2,3,4,5} find {(x,y)| y> x+1}

(2,5) (2,4) (3,5)

500

What is a function?

Relations in which each member of the domain is matched with exactly one member of the range. Or no x- value has more than one y-value.

M
e
n
u