PDF SAT MATH CHECKLIST: Facts and Formulas - Ivy Global

SAT MATH CHECKLIST: Facts and Formulas

Numbers and Arithmetic

Sum of consecutive integers

Sum of the consecutive integers from 1 to an integer n

+ + 1 + + 2 ... (n + 1) ? 2

Adding or multiplying even or odd integers

even + even = even odd + odd = even odd + even = odd

even even = even odd odd = odd odd even = even

Cross-multiplication

If = , then = .

Percent increase or percent decrease

? 100%

Exponent rules Absolute value

1 =

0 = 1

-

=

1

= +

=

-

( ) =

= ()

=

()

=

If = 4, then = 4 = -4 If < 4, then - 4 < < 4

If > 4, then < -4 > 4

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Algebra and Functions

Difference of squares

2 - 2 = ( + )( - )

Properties of inequalities

The inequality is reversed by taking the negative of both sides taking the reciprocal of both sides multiplying or dividing both sides by a negative number

Rates

= ?

Domain of a function

The set of all the "input" numbers for which the function still works

Range of a function Formula for slope

Facts about slope

Linear functions Quadratic functions Translation of = (), a units vertically and b units horizontally

The set of all the "output" numbers

=

rise run

=

2 2

- -

1 1

Horizontal lines have slopes of zero. Vertical lines have undefined slopes. Non-vertical parallel lines have equal slopes. Non-vertical perpendicular lines have slopes

whose product is -1.

= +

= 2 + +

- = ( - )

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Geometry

Angle sums

Sum of the interior angles of a polygon with n sides

The sum of any number of angles that form a straight line is 180?.

The sum of any number of angles around a point is 360?.

Two angles that add to 90? are called complementary angles.

Two angles that add to 180? are called supplementary angles.

180?( - 2)

Vertical angles

= and =

Transversals Exterior angle of a triangle

= = = = = = + = 180? and + = 180?

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= +

Classification of triangles

Pythagorean Theorem

2 + 2 = 2

Special right triangles

Triangle inequality Area of a triangle

The sum of the lengths of two sides of a triangle is always greater than the length of the third side

1 = 2

Area of a parallelogram or rectangle

=

Area of a trapezoid Area and circumference of a circle

1 = 2 ( + )

= 2 = = 2

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Arc length (L) and area (A)

? 2 = 360? ? 2 = 360?

Volume and surface area of a rectangular solid

= = 2 + 2 + 2

Diagonal of a rectangular solid

2 = 2 + 2 + 2

Volume and surface area of a right cylinder

= 2 = 22 + 2

Distance formula Midpoint formula

= (2 - 1)2 + (2 - 1)2

(

1

+ 2

2

,

1

+ 2

2

)

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