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Solving One-Step Equations

Solving One-Step Equations. ax=b x/a=b. Solve equations by “isolating the variable” Get the variable by itself We do this by using opposite operations The opposite of addition is subtraction The opposite of multiplication is division ALWAYS SHOW YOUR WORK!!!!!!. Examples. 3 x = 24

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Solving One-Step Equations

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  1. Solving One-Step Equations ax=b x/a=b

  2. Solve equations by “isolating the variable” • Get the variable by itself • We do this by using opposite operations • The opposite of addition is subtraction • The opposite of multiplication is division • ALWAYS SHOW YOUR WORK!!!!!!

  3. Examples • 3x = 24 - x is being multiplied by 3, so we must divide by 3 to get x by itself - Whatever you do to one side, do the same to the other side 3x/3 = 24/3 x = 8 CHECK: 3(8) = 24 24 = 24

  4. r/2 = 14 - r is being divided by 2, so we must multiply by 2 to get r by itself - r/2 × 2 = 14 × 2 - r = 28 CHECK: 28/2 = 14 14 = 14

  5. -3t = -36 4. n/3 = -7 • -5b = 45 6. d/-5 = 3

  6. Word Problems • ⅙ of Canada’s planetariums are in Winnipeg. There are 2 planetariums in Winnipeg. How many planetariums are in Canada? - Assign a variable - p = # of planetariums in Canada - p/6 = 2

  7. The average mass of a lynx is 16 kg. This mass is twice the mass of an otter. Calculate the mass of an otter. - o = otter’s mass - 2o = 16

  8. Assignment • Pg 377 – 379 # 11 – 26

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