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Solve for a Variable or Formula 3Solve for a Variable or Formula 3
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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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Excellent
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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` `=` `bx-6b` `6b-6b` cancels out Factor out `b``6a` `=` `bx-6b` `6a` `=` `b(x-6)` Finally, divide both sides by `x-6``6a` `=` `b(x-6)` `6a``-:(x-6)` `=` `b(x-6)``-:(x-6)` `(6a)/(x-6)` `=` `b` `(x-6)-:(x-6)` cancels out `b` `=` `(6a)/(x-6)` Interchange the sides `b=(6a)/(x-6)` -
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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Great Work
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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+(n-1)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+(n-1)d` `U` `-a` `=` `a+(n-1)d` `-a` `U-a` `=` `(n-1)d` `a-a` cancels out Divide both sides by `n-1``U-a` `=` `(n-1)d` `(U-a)``-:(n-1)` `=` `(n-1)d``-:(n-1)` `(U-a)/(n-1)` `=` `d` `(n-1)-:(n-1)` cancels out `d` `=` `(U-a)/(n-1)` Interchange the sides `d=(U-a)/(n-1)`
Quizzes
- One Step Equations – Add and Subtract 1
- One Step Equations – Add and Subtract 2
- One Step Equations – Add and Subtract 3
- One Step Equations – Add and Subtract 4
- One Step Equations – Multiply and Divide 1
- One Step Equations – Multiply and Divide 2
- One Step Equations – Multiply and Divide 3
- One Step Equations – Multiply and Divide 4
- Two Step Equations 1
- Two Step Equations 2
- Two Step Equations 3
- Two Step Equations 4
- Multi-Step Equations 1
- Multi-Step Equations 2
- Solve Equations using the Distributive Property 1
- Solve Equations using the Distributive Property 2
- Solve Equations using the Distributive Property 3
- Equations with Variables on Both Sides 1
- Equations with Variables on Both Sides 2
- Equations with Variables on Both Sides 3
- Equations with Variables on Both Sides (Fractions) 1
- Equations with Variables on Both Sides (Fractions) 2
- Solve Equations – Variables on Both Sides (Distributive Property) 1
- Solve Equations – Variables on Both Sides (Distributive Property) 2
- Solve Equations – Variables on Both Sides (Distributive Property) 3
- Solve Equations – Variables on Both Sides (Distributive Property) 4
- Writing Equations 1
- Writing Equations 2
- Writing Equations 3
- Writing Equations 4
- Equation Word Problems (Age) 1
- Equation Word Problems (Money) 1
- Equation Word Problems (Harder) 1
- Equation Problems with Substitution 1
- Equation Problems (Geometry) 1
- Equation Problems (Geometry) 2
- Equation Problems (Perimeter)
- Equation Problems (Area)
- Solve for a Variable or Formula 1
- Solve for a Variable or Formula 2
- Solve for a Variable or Formula 3