A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z

Decimal to Percent (D to P): “to the right, to the right”

.125 = 12.5%Percent to Decimal (P to D): “to the left, to the left”

5% = .05

Properties (MEMORIZE these!):Commutative (ORDER switches): a + b = b + aAssociative (GROUPING): (a + b) + c = a + (b + c)Distributive: a (b + c) = a(b) + a(c)Identity of Addition: a + 0 = a Identity of Multiplication: a x 1 = aMultiplicative Property of Zero: a x 0 = 0Inverse of Multiplication: (a/b) x (b/a) = 1Inverse of Addition (zero pair) : -a + a = 0

1) P arenthesis2) E xponent3) M ultiply OR D ivide4) A dd OR S ubtract

Absolute Value is ALWAYS positive!! It measures the

distance from zero on a number line.

I -3 I = 3 I 3 I = 3

Exponents:10 3 = 10 x 10 x 10 = 1,000

10 -3 = x x = = 0.001

Both have the SAME absolute

value!

THE quick guide to MATH-7 TEST SUCCESS!!

You

MATH!

Fraction Decimal “Take the top #, divide

by the bottom #!”

1 = 8 I 1 8(turn the fraction clockwise)

Scientific Notation:3.95 x 105 = 395,0003.12 x 10-4 = .000312

Perfect Squares:12 = 122 = 432 = 942 = 1652 = 2562 = 3672 = 4982 = 6492 = 8110²= 100

112 = 121122 = 144132 = 169142 = 196152 = 225162 = 256172 = 289182 = 324 192 = 36120² = 400

Square Root Ex.: = 5 = 6 = 7

Negative exponents do NOT make the answer negative!!

Integers and AlgebraAdding Integers:

SAMESIGN

S

DIFFERENT

SIGNS

ADDSUBTRAC

T

KEEPSIGN!!

3 + 4 = 7-3 + -4 = -7

KEEP SIGN OF LARGER

ABSOLUTE VALUE!!

-3 + 4 = 13 + -4 = -1

Solving an Equation:

2x + 4 = -6 A. 1 B. -1 C. -5

If you forget steps, PLUG

IT IN!!

Percent Proportions:

=

Subtracting Integers:

KCC

4 + -7 = -3

4 - 7 = ___

Multiplying/Dividing Integers:

Equation Table Graph

y = 3x + 2

x y

-1 -1

0 2

1 5

2 8

All ordered pairs must fit

on line!

Plug in the “x” values from

the table!

Expression– x + 5Equation– x + 5 = 8Inequality– x + 5 < 8

3x + 5

coefficient

variable constant

+ + - -

+ - - +

Pos. x Pos. = Pos. Neg. x Neg. = Pos.

Pos. x Neg. = Neg. Neg. x Pos. = Neg.

When multiplying or

dividing by a negative

#, we switch the inequality sign!

-3x > 15 – Switch Sign!

> becomes <

“S

even

less th

an

a n

um

ber is

fi

ve”

x – 7

= 5

“S

even

less a

nu

mb

er is

fi

ve”

7 – x

= 5

Inequalities:><≥≤

Does the bird get the worm?

You’re the

BEST and will rock the

test!

Add

Subtract

Multiply

Divide

Sum Difference Product Quotient

x yDomain Range

Independent

Dependent

Measurement and GeometryCoordinate Plane: Plot point-- over left or right (x), then up or down (y).

I

IVIII

II

C

Volume:Fill

HoldCubic Units3

Quadrilaterals:

Trapezoid

One pair of parallel sides

Parallelogram Opposite sides parallel (2 pairs)

Rectangle Opposite sides parallel

Must have 4 right angles

Square:

4 equal sides

4 right angles

Rhombus Opposite sides parallel

(-3,1)

ALWAYS UP, SOMETIMES

DOWN, NEVERSIDE-TO-SIDE!!

Transformations:Translate – SlideRotation – TurnReflection– FlipDilation– Re-sizeRotations:Here is a clockwise rotation about the origin (the x and y switch places with each turn):Original: (-3,1)– Q II90˚: (1, 3)– Q I 180˚: (3,-1)– Q IV270˚: (-1,-3)– Q III360˚: (-3,1)– Q II

4 equal sides

Opposite sides congruent

RIGHT or LEFT changes X ! UP or DOWN changes Y

!

Similar Figures:SAME shape, DIFFERENT size, CONGRUENT angles,

PROPORTIONAL sides! =

Height on top and shadow on bottom!!

Changing an Attribute:

If ONE attribute (l, w, h) of a prism is changed (doubled, tripled, halved), then the VOLUME will also change by the same amount!

If we triple the length, the volume will also triple, etc.! Surface

Area:CoverWrap

Square Units2

A square is ALWAYS a rectangle,

rhombus, & parallelogram!

ProbabilityProbability:

P(roll a 5) =

Theoretical Probability:what “should” happen

Experimental Probability:what “actually” happens

Tree Diagram:

2 cone choices x 4 flavors = 8 possible outcomes

REMEMBER:

With replacement– put it back!!

Without replacement– keep it !!

Ms. Dysonknows that the

odds will be ever in your favor on the

SOL test!!

IndependentEvents

DependentEvents

with replacement

without replacement

Finding the probability of

picking a king, putting it back, and picking a king again . . .

x

Finding the probability of

picking a king, keeping it, and picking a king

again . . .

x

As the # of trials increase, the experimental probability will come closer and closer to the theoretical

probability!!

Fundamental Counting Principle:

1) 3 shirts, 2 belts, 3 shorts: 3 x 2 x 3 = 18 possible outfits

2) Roll one die and flip one coin:6 x 2 = 12 possible outcomes

Number/ Letter Codes . . .A code consists of three numbers. The choices for each number range from 0 – 9. How many unique codes?

10 x 10 x 10 = 1,000