Aims Grade 8 Mathematics Sample Test And Think-Throughs With Answers Page 35
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36December 2009
Grade 8 AIMS Reference Sheet
Coordinate Geometry and Linear Equation Forms
Given: Points
S x y T x
( ,
), (
,
y
)
1
1
2
2
x
x
y
y
1
2
1
2
Midpoint between two points: Midpoint
,
2
2
y
y
2
1
Slope of line through two points:
m
x
x
2
1
Point-Slope Form:
y
y
m x
(
x
)
1
1
Standard or General Form:
Ax
By
C
Slope-Intercept Form:
y
mx
b
Additional Formulas
Distance, Rate, Time Formula:
Sum of the measures of the interior angles
of a convex polygon with n sides:
d
distance,
r
rate,
t
time
d
rt
S
(
n
2 180°
)(
)
Simple Interest Formulas:
I
interest,
P
principal,
r
annual interest rate in decimal form,
t
ti i me in years,
A
total amount after time
t
I
P r
t
A
P
(
1
r
t
)
mass
Density
volume
number of people
Population density
unit of area
Pythagorean Theorem:
c
a
2
2
2
a
b
c
b
Angle Formulas
Inscribed Angle Formula:
Central Angle Formula:
A
A
C
x
P
B
P
x
B
C
m x
∠
mAB
∠ 1
m x
mAC
2
where P is the center of the circle.
where P is the center of the circle.
Arizona Department of Education
35
Grade 8
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