MODE - ANSWER The most frequently occurring number
Slope - ANSWER Rise / Run
(y2-y1) / (x2-x1)
Ex: Find the slope of the line that runs through the points (4,6) and (8,10).
(10 - 6) / (8 - 4) = 4 / 4 = 1
Th
...
MODE - ANSWER The most frequently occurring number
Slope - ANSWER Rise / Run
(y2-y1) / (x2-x1)
Ex: Find the slope of the line that runs through the points (4,6) and (8,10).
(10 - 6) / (8 - 4) = 4 / 4 = 1
The line has a slope of 1
Remember: Positive slope inclines (travels upward) from left to right and negative slope declines (travels downward) from left to right.
USE YOUR ANSWERS - ANSWER Whenever you are stuck, let the answers choices help you. Often you can plug them in and see which one works!
How many degrees in a right angle? - ANSWER 90 degrees
How many total degrees in a triangle? - ANSWER 180 degrees
How many total degrees in a parallelogram? Hint: parallelogram = 2 triangles - ANSWER 360 degrees
Range - ANSWER The greatest value minus the smallest value
SSAT Special Functions (weird symbol problems) - ANSWER Don't panic! They will define the function for you. All you have to do is plug in the numbers for the variables.
Ex: a £ b = a + 5b
What is the value of 6 £ 1 ?
6 £ 1 = 6 + (5)(1)
6 £ 1 = 6 + 5
6 £ 1 = 11
Combined average problems - ANSWER Break into two separate average equations before combining to solve.
Ex: The average test score for 5 girls is 90. The average test score for 10 boys is 85. What is the average test score of all the students (boys and girls)?
GIRLS
90 = x / 5
(90)(5) = x
450 = x
BOYS
85 = x / 10
(85)(10) = x
850 = x
Now, combine into one big average problem!
Group average = (850 + 450) / 10 + 5
1300 / 15 = 86.7
Group average = 86.7
Challenging VOLUME problems - ANSWER Length x width x height
Ex: How many cubes with side length 3 can fit into a cube of side length of 6?
Small cube volume = (3)(3)(3) = 27
Big cube volume = (6)(6)(6) = 216
216 / 36 = 8
8 small cubes can fit into the larger cube!
Parallel lines cut by transversal - ANSWER ...
Perimeter of weird shapes - ANSWER Make sure you account for ALL SIDES!
Surface Area - ANSWER Find the area of each individual side and add up all sides. For cubes, simply multiply side area by 6 (6 sides on cube)
Integer - ANSWER Positive or negative whole number
Graphs / Data Tables - ANSWER TAKE YOUR TIME.
1) Ignore answer choices
2) Look at x and y axes. What does each measure?
3) What kind of data is being shown? What conclusions can you draw?
Area of a circle - ANSWER Pi r squared
Circumference of a Circle - ANSWER Pi x Diameter
Area of a Parallelogram - ANSWER Base x height
Area of a Triangle - ANSWER 1/2 base x height
Scalene triangle - ANSWER No equal sides or angles
Equilateral Triangle - ANSWER All sides and angles are equal (each angle is 60 degrees no matter what the sides equal)
Isosceles Triangle - ANSWER 2 equal sides and corresponding angles
Median - ANSWER Middle number when numbers are ordered from least to greatest
Average / mean - ANSWER Average = sum / number of things
YARDS to FEET - ANSWER 3 feet per yard
LCD FOR COMPARING FRACTIONS - ANSWER When adding or subtracting or comparing fractions, always be SURE that you have first established a lowest common denominator across all the fractions
MISSING SIDE OF A TRIANGLE - ANSWER The length of the third side of any triangle must be between the sum and the difference of the other two sides
How many degrees in a circle? - ANSWER 360 degrees
How many degrees in a straight line? - ANSWER 180 degrees
Angles that are across from each other (aka vertical angles) are... - ANSWER EQUAL! (aka congruent)
Complementary angles total - ANSWER 90 degrees
Equal angles are across from... - ANSWER EQUAL SIDES
Supplementary angles total - ANSWER 180 degrees
Pythagorean Theorem
What is the equation?
What is it used for? - ANSWER a^2 + b^2 = c^2
Factor - ANSWER Ex: factors of 10 are 1,2,5,10
Multiple - ANSWER Ex: multiples of 10 are
Shortcut: The average of any consecutive integers - ANSWER Is just the middle integer!
Two fractions set equal to one another - ANSWER Cross multiply
DON'T MISS THE FINAL STEP OF THE QUESTION! - ANSWER They're out to trick you. Be smarter than the evil test makers and UNDERLINE what the question is asking.
Similar Triangles - ANSWER Sides are in ratio (proportionate to one another).
x^0 = - ANSWER 1
x^1 = - ANSWER x
x^2 + x^2 = - ANSWER 2x^2
add coefficient
x^2 + x^3 = - ANSWER IMPOSSIBLE!!! (x^2 + x^3)
(x^2)(x^3) = - ANSWER x^5
add exponents
(x^2)^3 = - ANSWER x^6
multiply exponents when raising a power to a power
x^4 / x^5 = - ANSWER 1 / x
subtract exponents when dividing and leave the variable wherever the bigger exponent was
Percent Change - ANSWER Step 1: Find the difference in amount
Step 2: Look at the original number and ask yourself "What percent of the original number is that amount equal to?"
Percent Strategy - ANSWER part / whole = percent / 100
Percent Short Cut (10% rule!) - ANSWER Use the 10% shortcut to estimate whenever possible. You can find 10% of any number by moving the decimal one place to the LEFT.
Absolute Value Equations - ANSWER Write out the equation TWICE. One negative answer. One positive answer. Solve for both.
Inequalities - ANSWER 1) The alligator always eats the bigger number
2) MUST FLIP SIGN whenever multiplying or dividing by a NEGATIVE
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