1. Given the points –2 and 3 on the coordinate line: a. Find the distance betwee

a. Distance=3-(-2)=3+2=5 b. midpoint=(3-(-2))/2=5/2=2.5 2.-1 2x + 3 < 3 -1-3 2x+3-3

ID: 2910309 • Letter: 1

Question

1. Given the points –2 and 3 on the coordinate line:

a. Find the distance between them. (1 pt.)

b. Find the midpoint of the line segment which connects them. (1 pt.)

2. Use interval notation to describe all values for x that satisfy -1 2x + 3 < 3. (3 pts.)

3. Use interval notation to describe all values for x that satisfy 2. (3 pts.)

4. Find the distance between the points (–1, – ) and (1, ) in the coordinate plane.

(1 pt.)

5. Sketch the following region of the xy-plane:

{(x, y): x2 + y2 4 and y < 1}. (1 pt.)

a. Distance=3-(-2)=3+2=5

b. midpoint=(3-(-2))/2=5/2=2.5

2.-1 2x + 3 < 3

-1-3 2x+3-3<3-3

-4 2x<0

-2 x<0

[-2,0)

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.