Solving linear equations using distributive property: a(x + b) = c

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Intros
Lessons
    • What is Distributive Property?
    • How to use distributive property to solve linear equations?
  1. How to turn a word problem into an equation?
    • ex. 1: "revenue" problem
    • ex. 2: "area" problem
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Examples
Lessons
  1. Solve.
    1. 11.32=8(0.61+x)11.32 = 8\left( {0.61 + x} \right)
    2. 5(2.49+x)=17.46 - 5\left( {2.49 + x} \right) = 17.46
    3. 2(x18.5)=4.672\left( {x - 18.5} \right) = - 4.67
    4. 9.5=11.5(x5.2)9.5 = - 11.5\left( {x - 5.2} \right)
  2. Find the value of xx.
    1. 3.57+x2=2.16\frac{{3.57 + x}}{2} = 2.16
    2. 6.79=x3.434 - 6.79 = \frac{{x - 3.43}}{4}
    3. 0.761=0.158+x2 - 0.761 = \frac{{0.158 + x}}{{ - 2}}
    4. x20.915=8.25\frac{{x - 20.91}}{{ - 5}} = 8.25
  3. A grocery store has chocolate bars on sale. Each chocolate bar is $0.25 cheaper when 4 of them are purchased. Chris bought 4 chocolate bars, and he paid $8.52. What is the original price of each chocolate bar?