Counting the Possibilities
m ways one even can happen and n ways a second event happen, so there are m X n ways.
Adding and Subtracting Monomials
To combine like terms, keep the variable part unchanged while adding or subtracting the coefficients: 2a + 3a = (2+3)a = 5a (add the coefficients)
To multiply monomials, multiply the coefficients and the variables separately: 2a X 3a = (2X3)(aXa) = 6a^2
Multiplying other Polynomials
product is found by multiplying each term in the first polynomial by each term in the second.
a linear function defined by an equation of the form y = kx, where k cannot equal 0
y varies inversely as x; as increases y decreases; as x decreases y increases; xy=k or y=k/x;
domain & range
the domain of a function is the set of values for which the function is defined. The range of a function is the set of outputs or results of the function.
when converting, remember that 1/8=0.125=12^1/2%.37^1/2%is 3 times ,so it equals 3/8.*
some quations will ask you to identify parts of the graph of a function. They may ask for the value of the function, or, as here, the maximum or minimum valuies of the function....q(x)is represented by the y- value.
union & intersection of sets
is the set of elements that are in either or both.....set of elements common to both
powers of negatives
a negative number raised to an even power yields a positive result.A negative number raised to an odd power yields a negative result.
powers of fractions
raising a fraction between 0 & 1 to a power yields a number smaller than the original.
exterior angles of triangles
An exterior angle of a triangle is equal to the sum of the remote interior angles.
a parallelogram has 2 pairs of parallel sides.opposite sides are equal. opposite angles are equal.consecutive angles add up to 180 degree.
parallel lines & transversals
A transversal across parallel lines forms 4 equal acute angles & 4 equal obtus angles.
Parentheses,Exponents,Multiplication/Division(left to right)Addition/Subtraction(left to right)