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0950

0950. Order of Operations. P ) lease = P arentheses E ) xcuse = E xponents M ) y = M ultiply / D ivide D )ear A ) unt = A dd / S ubtract S ) ally. Integers. Like Signs = Keep the sign and the #s Unlike signs = Keep the sign of the larger # and find the difference

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0950

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  1. 0950

  2. Order of Operations • P) lease = Parentheses • E) xcuse = Exponents • M) y = Multiply / Divide • D)ear • A) unt = Add / Subtract • S) ally

  3. Integers • Like Signs = Keep the sign and the #s • Unlike signs = Keep the sign of the larger # and find the difference • “Draw the line, Change the sign.” 11 - (-15) = 11 +(+15) = 26 -8 – 2 = -8 + -2 = -10 -9 – (-1) = -9+(+1) = -8

  4. Multiply / Divide • Signs are alike = positive (+) (+) = + (-) (-) = + • Signs are not alike = negative (+) (-) = - (-) (+) = -

  5. Reducing fractions using Prime factors 2,3,5,7,11,13,17,19,23 302*3*5= 2 45 3*3*5 3 8a32*2*2*a*a*a = a 45 2*2*2*7*a*a 7 (Reduce fractions before multiplying)

  6. Adding Fractions • Like denominator = keep denominator add numerator 6 + 2 = 85 - 1 = 4 = 13 + 4 = 7 13 13 13 8 8 8 2 y yy .Always reduce fractions 7*11 + 6*y = 77 + 6y= 77+6y y 11 11 y 11y 11y 11y . Numerators must be like terms to add Equivalent Fractions: “Whatever I do to the bottom, I do to the top”

  7. Lowest Common Denominator • 1) Pull out the denominator • 2) Prime factor each • 3) Take greatest number of times each factor occurs in either one. 7-1 = 20= 2*2*5 = 7*6-1* 5 = 42+ -5 = 37 2024 24 = 2*2*2*3 20 6 24 5 120 120 120

  8. Terms • Simplify = Combine like terms • Solve = “=“means to solve for • Of = multiply • Sum= add • Times =multiply • Is = equals “=“ • A number = variable • Difference = subtract • Decrease = subtract • Quotient = division Distributive property • 8(y + 2) = 8y +16

  9. Simplify and Isolate • 1) Simplify each side of the equation • 2) Isolate the variable X+6 =1-3 = X+6 =-2 = X+6 =-2 X=-8 -6 -6 10 =2m-4m10 = -2m =10 = -2m -5=m -2 -2 Never keep a negative variable -x = 15 = x = -15

  10. Process, Process, Process • Clear out the fractions • Find the common denominator • Multiply all terms by the common denominator • Simplify y - 2 = -5y*12 - 2*12= -5*1212y - 24 =60 1 3 12 1 3 12 1 3 12 12y -8 = 5 12y = 13 y = 13/12 +8 +8 12 12

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