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reducing fractions
reduce by dividing. divide both top and bottom by a common factor. ex. 4\12 = 1/3 when divided by 4.
cross reducing: when multiplying two factors together if the diagonal #s have common denominators then u can divide it out. ex. 5/2 × 7/5= 1/2 × 7/1
reducing fractions
reduce by dividing. divide both top and bottom by a common factor. ex. 4\12 = 1/3 when divided by 4.
cross reducing: when multiplying two factors together if the diagonal #s have common denominators then u can divide it out. ex. 5/2 × 7/5= 1/2 × 7/1
adding fractions
you need a common denominator. ex. 4/5 + 6/5= 10/5 =2
multiplying fractions
just multiply denominators together and tops together.
when multiplying a whole # and a fraction you multiply it by the denominator and then add it to the top. then simplofy never forget to simplify!
dividing fractions
multiply by reciprocals. NOT THE NEGATIVE RECIPRICALS JUST THE RECIPRICAL.
Factors
Numbers that multiply evenly into the number that is being factored.
factor trees
when you are simplifying a radical u make a factor tree. they are when u write to factors of a number. then the factors factors. ex.45<5,9 okay its really hard to do when typin.
bedmas
b-brackets e-exponants d-division m-multiplication a-addition s- subtraction.
distributive property
ex. 7(x+5) = 7x +35. you can expand the multiplication within the bracket.
collecting algebra skills
you can collect the same variables together. ex. a+c+a=2a+c
multiplying binomials
binomial = (y+5) two polynomials.
when you are multiplying two binomials together. ex. (y+5)(y-2) you multiply both numbers in the 1st binomial with each number in tje other binomial but yoi neber multiply the 2 #s in a binomial together.
midpoint
basically the average. formula= (Xa+Xb÷2, Ya+Yb÷2)
solving an algebraic equation
steps
1. isolate the bariable term
2. isolate the variable
ex. 12-3m=2(m+1)
12-3m=2 (m+1)
10=5m} variable term
m=2} variable
conjugates
when you have the same terms with different signs. ex. (2x-5)(2x+5) for factorig this would form a answer that is a difference of squares.
difference of squares
when subtracting a perfect square(ex. 25) or a squared nu, ber or variable. (ex. X^2) This is a difference
common factoring
1. find the greatest common factor between the terms
2. work your way back for the other factors ex. 2a^2-4a =2a(a-2) *factoring is the opposite of expanding.
multiply out the fraction
if you hate fractions and you want to get rid of it then u can always multiply out the denominator giving you a whole number.
length of a line equation
formula= (square root) (X1-X2)^2 +(Y1-Y2)^2 * sorry tablet dosent have square root or squared symbols.
you use this formula when you have the points of the endpoints of line that u want to find the length of.
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