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End-of-Course Assessment

ISTEP+: Algebra I Graduation Examination

Reference Sheet

Equation of a Line

Slope-Intercept Form:

Point-Slope Form:

Standard Form of a Linear Equation:

=

+

+

=

−

=

−

y

mx

b

Ax

By

C

y

y

m x

(

x

)

1

1

m =

m =

where

slope

and

where A and B are not both zero

where

slope

and

=

b

y

-intercept

(

x

,

y ) is a point on the line

1

1

Slope of a Line

Let

(

x

,

y

) and (

x

,

y

)

be two points in the plane.

1

1

2

2

−

y

y

change in

y

=

=

2

1

slope

−

change in

x

x

x

2

1

≠

where

x

x

2

1

Standard Form of a Quadratic Function

2

=

+

+

f x

( )

ax

bx

c

≠

where

a

0

b

= −

axis of symmetry :

x

2

a

Quadratic Formula

2

±

−

−

b

b

4

ac

=

x

2

a

2

+

+ =

a ≠ 0

where

ax

bx

c

0 and

Pythagorean Theorem

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