Algebra 1 EOC Important Formulas to Know (This review was created for a basic review of formulas. The items included are intended to reinforce recall of basic facts and formulas. The Powerpoint is not intended as a comprehensive EOC review of content.)

What is the formula for slope?

Response

𝑚 = 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1

What is slope-intercept form of a linear equation?

Response

𝒚 = 𝒎𝒙 + 𝒃

In the equation,

𝒚 = 𝒎𝒙 +

the

𝒃 𝒃

, what does

represent?

Response

The y-intercept

𝒚 = 𝒎𝒙 + 𝒃

𝒚 =

In the equation,

𝒎 𝒙 + 𝒃

, what does the

𝒎

represent?

Response

The slope

𝒚 =

𝒎

𝒙 + 𝒃

What is the slope of a vertical line?

Response

Undefined

Rewrite this equation in standard form

𝟒 𝒚 = 𝑥 + 𝟐 𝟓

Response

𝒚 = 𝟒 𝟓 𝑥 + 𝟐 𝒚 − 𝟐 = 𝟒 𝟓 𝑥 𝒚 = 𝟒 𝟓 𝟒 𝟓 𝑥 + 𝟐 𝟒𝒙 − 𝟓𝒚 = −𝟏𝟎 𝑦

What form of a linear equation is

𝟐 𝒚 − 𝟒 = 𝒙 − 𝟗

?

𝟑

Response

Point-slope form

Rewrite

𝟐 𝒚 − 𝟒 = 𝒙 − 𝟗 𝟑

in “standard form”.

Response

Standard Form 𝟐𝒙 − 𝟑𝒚 = 𝟔

Identify the

x-

and

y-

intercepts of 𝟐𝒙 − 𝟑𝒚 = 𝟔

Response

x intercept is 3.

y intercept is -2.

Describe the transformation of the parent function

𝒇 𝒙 = 𝒙

to

𝒈 𝒙 = 𝒙 + 𝟑

Response

A vertical translation up 3 units.

Or a vertical shift of 3.

What does the r represent?

Response

R represents the correlation coefficient

Describe the correlation.

(Strong positive, strong negative, weak positive, weak negative, no correlation) for

𝒓 ≈ −𝟎. 𝟗𝟐

Response Strong negative correlation

Describe the correlation.

(Strong positive, strong negative, weak positive, weak negative, no correlation) for

𝒓 = 𝟎

Response

No correlation

Describe the correlation.

(Strong positive, strong negative, weak positive, weak negative, no correlation) for

𝒓 ≈ 𝟎. 𝟐𝟎

Response Weak positive correlation

Classify the System

Response

Independent system

Classify the System

Response

Inconsistent

Classify the System

𝑥 − 𝑦 = −1 3𝑦 = 3𝑥 − 3

Response

Dependent system

Simplify

𝟏 𝟏 𝟓 + 𝟒𝟗 𝟏 𝟐

Response

8

Simplify the expression. All variables represent nonnegative numbers.

(𝒙 𝟏 𝟑 𝒚) 𝟑 𝒙 𝟐 𝒚 𝟐

Response

𝒙 𝟐 𝒚 𝟒

Rewrite the polynomial in standard form.

𝟐𝟎𝒙 − 𝟒𝒙 𝟑 + 𝟐 − 𝒙 𝟐

Response

−𝟒𝒙 𝟑 − 𝒙 𝟐 + 𝟐𝟎𝒙 + 𝟐

What degree is the polynomial?

𝟒𝒙 − 𝟏𝟖𝒙 𝟓

Response

The degree of the polynomial,

𝟒𝒙 − 𝟏𝟖𝒙 𝟓

, is 5.

Classify the polynomial according to its degree and number of terms.

𝟖 + 𝒌 + 𝟓𝒌 𝟒

Response

𝟖 + 𝒌 + 𝟓𝒌 𝟒

Quartic Trinomial

Factor

𝟖𝟏 − 𝒙 𝟐

Response

(𝟗 + 𝒙)(𝟗 − 𝒙)

Find the GCF of

𝟐𝟒𝒙 𝟐 𝒚 𝟑 , 𝟒𝟐𝒙 𝟐 𝒚, 𝟔𝒙 𝟒 𝒚 𝟐

Response

𝟔𝒙

𝟐

𝒚

What is the name for the highest or lowest point in a parabola?

Response

The vertex

What formula could we use to find the axis of symmetry for

𝒚 = 𝑎𝒙 2 + 𝒃𝒙 + 𝒄

?

Response

𝒃 𝒙 = − 𝟐𝒂

What would you add to the expression

𝒙 𝟐 − 𝟖𝒙

to complete the square?

Response

16

What is the quadratic formula?

Response

𝒙 = −𝒃 ± 𝒃

𝟐

− 𝟒𝒂𝒄 𝟐𝒂

What formula would you use if you want to know how many real solutions a quadratic has?

Response

The discriminant

𝒃

𝟐

− 𝟒𝒂𝒄

Does this equation represent growth or decay?

𝒚 = 𝟎. 𝟔𝟖(𝟐) 𝒙

Response

Exponential Growth

Find the interquartile range for 1,2,3,4,5,6,7,8,9,10 ?

Response

𝟓

A bacteria population doubles every hour.

What type of function best models this situation?

Response

𝑨𝒏 𝒆𝒙𝒑𝒐𝒏𝒆𝒏𝒕𝒊𝒂𝒍 𝒇𝒖𝒏𝒄𝒕𝒊𝒐𝒏