Basic concept
Basic concepts 
algebra numbers 
power /sqrt 
different format of same expression 

MADSPM:multiplication/division/power multiply 

3^{0}=1;3^{1}=3;1^{n}=1 

minus power: reciprocal, 3^{1}=1/3; 3^{2}=1/sqrt(3) 

square root:x^{1/2} 
Solve the equeation 
move variables to onside; do same op on both side 

Solve the inequalities:same as equation, negative change direction 

Solving ration equation:common denominator; zero denominutor(no solution); infinite solution 
Absolute number 
Solution is negative? 
simultaneous equation 
multiple/add/subtract together; solve the equation to get the solution 
Word =>equation 
is, are, were, did, does, costs =; what (or any unknown value) any variable (x, y, k, b) ; more, sum + ; less, difference − of, times, product × (multiply) ratio, quotient, out of, per ÷ (divide) 
Geometry
coordinate plane 
slopeintercept form 
y=ax+b 

parallel lines: no solution 

perpendicular lines: negative reciprocal slope) 
distance formula 
Pythagorean triplets 345,51213 

sqrt((x1x2)^{2} + (y1y2)^{2}) 

midpoint formula 
point of intersection 
solve x: formula 1=formula 2 

solve y: plug back in x 

Other: PITA(arithmetic), graph (no linear) 


Charts and graphs
Scatterplot 
Line Graph 
Bar Graph (or Histogram) 
TwoWay Table 
Figure Facts 
variable, unit, relation,legend ruler 
probbability 
# of outcomes you want/ #of possible outcome 
GRIDSINS 
summery
Review basic definitions again before the test to make sure you don’t get stuck on the “little words.” 
When you have to manipulate exponents, remember your MADSPM rules 
To solve equations for a variable, isolate the variable. Make sure you perform the same operations on both sides of the equation 
Inequalities can be worked just like equations, until you have to multiply or divide by a negative number. Then you need to flip the inequality sign. 
When solving radical and rational equations, be on the lookout for extraneous solutions. They are answers you get that don’t work when plugged back into the original equation. 
The absolute value of a number is the positive distance from zero, or practically, making the thing inside the   sign positive. Everything inside the   is equal to the positive and the negative value of the expression to which it is equal. Also remember that   work like ( ); you need to complete all the operations inside the   before you can make the value positive. 
To solve simultaneous equations, simply add or subtract the equations. If you don’t have the answer, look for multiples of your solutions. When the simultaneous equation question asks for a single variable and addition and subtraction don’t work, try to make something disappear. Multiply the equations by a constant to make the coefficient(s) of the variable(s) you want go to zero when the equations are added or subtracted. 
When writing a system of equations, start with the most straightforward piece of information. 
You can also use the equations in the answer choices to help you narrow down the possibilities for your equations. Eliminate any answers in which an equation doesn’t match your equation. 
Parallel lines have the same slope and no solutions. If two lines have the same slope and infinitely many solutions, they are actually the same line. Perpendicular lines have slopes that are negative reciprocals of one another. 
Rather than worrying about the distance formula, connect the two points and make the resulting line the hypotenuse of a right triangle. Then you can use the Pythagorean Theorem to find the distance. 
The coordinates of the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) will be . 
When you encounter charts, carefully check the chart for information you should note, and remember that you can use your answer sheet as a ruler to help you locate information or to draw a line of best fit. 
Probability is a fractional value between 0 and 1 (inclusive), and it is equal to the number of outcomes the question is asking for divided by the total number of possible outcomes. It can also be expressed as a percent. 
When doing GridIn questions, be sure to keep to the left, and don’t bother reducing fractions if they fit in the allotted spaces. 
