2.1-2.5, 3.1-3.4 Exam 2 Review Math Worksheet With Answers

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1
Exam 2 Review
2.1-2.5, 3.1-3.4
2.1:Coordinate Geometry
Memorize 2 formulas for two points (x
, y
) and (x
, y
):
1
1
2
2
Midpoint formula:
x
+ x
y
+ y
1
2
1
2
,
2
2
Distance formula:
2
2
d =
(x
x
)
+ (y
y
)
2
1
2
1
1. Find the midpoint and distance between ( 3, 4) and (6, 2).
3
Solution: Midpoint:
, 1 , Distance: 3 13
2
7
2. Find the midpoint and distance between
, 5 and (3, 4).
2
5
13
9
Solution: Midpoint:
,
, Distance:
4
2
2
2.2: Linear Equations and Inequalities
Be able to find x and y intercepts and be able to describe in words what x and y intercepts are.
3. Graph 6x + 8y
12.
Solution: x intercept at ( 2, 0) and y intercept at (0, 3/2). Connect the intercepts using a solid
line. Shade the half-plane that does not include the origin (0, 0).
4. Graph 4x
3y < 16.
16
Solution: x intercept at (4, 0) and y intercept at 0,
. Connect the intercepts using a dotted line.
3
Shade the half-plane that include the origin (0, 0).

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