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acceleration practice problems practice rearranging equations a = \\fra…

Question

acceleration practice problems
practice rearranging equations
a = \frac{b - c}{d}

  1. rearrange the equation above to solve for d. show all work.
  2. rearrange the equation above to solve for c. show all work.
  3. rearrange the equation above to solve for b. show all work.

Explanation:

Step1: Multiply both sides by d

$a\times d=\frac{b - c}{d}\times d$
$ad=b - c$

Step2: Solve for d

$d=\frac{b - c}{a}$ (assuming $a
eq0$)

Step3: Rearrange to solve for c

Starting from $ad=b - c$, add c to both sides and subtract ad from both sides:
$c=b - ad$

Step4: Rearrange to solve for b

Starting from $ad=b - c$, add c to both sides:
$b=ad + c$

Answer:

  1. $d=\frac{b - c}{a}$ (assuming $a

eq0$)

  1. $c=b - ad$
  2. $b=ad + c$