SAT prep

how do you find the slope given two coordinates ?

m = (y₂ - y₁) / (x₂ - x₁

how do you find the equation of a line given a point and a slope?

y - y1 = m ( x - x1 )

what is the difference of squares pattern ?

a² - b² = ( a - b ) ( a + b )

what is the formula for a circle in the xy-plane?

( x - h )² + ( y - k )² = r²

center : ( h , k ) ; radius : r

if two lines have the same slope and different y-intercepts, are they intersecting? And are they parallel, perpendicular, or have infinite points?

No Intersection, Parallel

if two lines have the same slope and same y-intercepts, are they intersecting? And are they parallel, perpendicular, or have infinite points?

Same Line, Infinite Points

if two lines have negative reciprocal slopes, are they intersecting? And are they parallel, perpendicular, or have infinite points?

Intersect at one point, Perpendicular

If the discriminant is MORE than zero, how many real solutions are there ?

Two

If the discriminant is LESS than zero, how many real solutions are there ?

Zero

If the discriminant is EQUAL to zero, how many real solutions are there ?

One

Dotted Line

< or >

Solid Line

≤ or ≥

Shaded Above

Y is More Than

Shaded Below

Y is Less Than

Fractions Rules: Division

Multiply by the Reciporical

Fraction Rules: Multliplication

Multiply tops and bottoms

Fractions Rules: Add/Subtract

Same common denominator

Area of a Circle

(pi)(r²)

Circumference of a Circle

(2)(pi)r

Exponent Rules: aᵐ × aⁿ

aᵐ⁺ⁿ

Exponent Rules: aᵐ ÷ aⁿ

aᵐ⁻ⁿ

Exponent Rules: (aᵐ)ⁿ

aᵐⁿ

Exponent Rules: a⁻ⁿ

1/aⁿ