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- Grade 10 Math Unit 1

Morag M.

reducing fractions

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

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__

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adding fractions

you need a common denominator. ex. 4/5 + 6/5= 10/5 =__2__

multiplying fractions

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

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

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.

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midpoint

basically the average. formula= (Xa+Xb÷2, Ya+Yb÷2)

solving an algebraic equation

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

difference of squares

common factoring

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

length of a line equation

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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