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Question 1 of 4
1. Question
Write `b` as the subject of the equation below`6(a+b)=bx`Hint
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Changing the subject means operating on an equation so that a chosen variable remains alone on the left side of the equationDistribute `6``6(a+b)` `=` `bx` `6a+6b` `=` `bx` Leave only `b` terms on the right side`6a+6b` `=` `bx` `6a+6b` `6b` `=` `bx` `6b` Subtract `6b` from both sides `6a` `=` `bx6b` `6b6b` cancels out Factor out `b``6a` `=` `bx6b` `6a` `=` `b(x6)` Finally, divide both sides by `x6``6a` `=` `b(x6)` `6a``:(x6)` `=` `b(x6)``:(x6)` `(6a)/(x6)` `=` `b` `(x6):(x6)` cancels out `b` `=` `(6a)/(x6)` Interchange the sides `b=(6a)/(x6)` 
Question 2 of 4
2. Question
Solve for `r` given that `v=400` and `h=13``r=sqrt(v/(pih))`Use `pi=3.14`
Round your answer to two decimal places `r=` (3.13)
Hint
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Changing the subject means operating on an equation so that a chosen variable remains alone on the left side of the equationSubstitute the given values to solve for `r``V` `=` `400` `h` `=` `13` `pi` `=` `3.14` `r` `=` `sqrt(v/(pih))` `=` `sqrt(400/((3.14)xx13))` Substitute known values `=` `sqrt(400/(40.82))` Evaluate `=` `sqrt(9.8)` `r` `=` `3.13` Rounded to two decimal places `r=3.13` 
Question 3 of 4
3. Question
Write `B` as the subject of the equation below`a=sqrt(A/B)`Hint
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Changing the subject means operating on an equation so that a chosen variable remains alone on the left side of the equationGet the square of both sides`a` `=` `sqrt(A/B)` `a^2` `=` `sqrt(A/B)^2` `a^2` `=` `A/B` Multiply both sides to `B``a^2` `=` `A/B` `a^2``xxB` `=` `A/B``xxB` `a^2B` `=` `A` `1/BxxB` cancels out Finally, divide both sides by `a^2``a^2B` `=` `A` `a^2B``:a^2` `=` `A``:a^2` `B` `=` `A/a^2` `a^2:a^2` cancels out `B=A/a^2` 
Question 4 of 4
4. Question
Write `d` as the subject of the equation below`U=a+(n1)d`Hint
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Changing the subject means operating on an equation so that a chosen variable remains alone on the left side of the equationSubtract `a` from both sides`U` `=` `a+(n1)d` `U` `a` `=` `a+(n1)d` `a` `Ua` `=` `(n1)d` `aa` cancels out Divide both sides by `n1``Ua` `=` `(n1)d` `(Ua)``:(n1)` `=` `(n1)d``:(n1)` `(Ua)/(n1)` `=` `d` `(n1):(n1)` cancels out `d` `=` `(Ua)/(n1)` Interchange the sides `d=(Ua)/(n1)`
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