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Solve for a Variable or Formula 2Solve for a Variable or Formula 2
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Question 1 of 5
1. Question
Write `d` as the subject of the equation below`A=1/2h(c+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 equationMultiply both sides to `2``A` `=` `1/2h(c+d)` `A``xx2` `=` `1/2h(c+d)``xx2` `2A` `=` `h(c+d)` `1/2xx2` cancels out Divide both sides by `h``2A` `=` `h(c+d)` `2A``:h` `=` `h(c+d)``:h` `(2A)/h` `=` `c+d` `h:h` cancels out Finally, subtract `c` from both sides`(2A)/h` `=` `c+d` `(2A)/h` `c` `=` `c+d` `c` `(2A)/hc` `=` `d` `cc` cancels out `d` `=` `(2A)/hc` Interchange the sides `d=(2A)/hc` 
Question 2 of 5
2. Question
Write `x` as the subject of the equation below`G(x+y)=H(xy)`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 `G` and `H``G(x+y)` `=` `H(xy)` `Gx+Gy` `=` `HxHy` Leave only `x` terms on the left`Gx+Gy` `=` `HxHy` `Gx+Gy` `Hx` `=` `HxHy` `Hx` Subtract `Hx` from both sides `Gx+GyHx` `=` `Hy` `HxHx` cancels out `Gx+GyHx` `Gy` `=` `Hy` `Gy` Subtract `Gy` from both sides `GxHx` `=` `GyHy` `GyGy` cancels out Factor out `x` and `y``GxHx` `=` `GyHy` `x(GH)` `=` `y(GH)` `x(GH)` `=` `y(G+H)` Finally, divide both sides by `GH``x(GH)` `=` `y(G+H)` `x(GH)``:(GH)` `=` `y(G+H)``:(GH)` `x` `=` `(y(G+H))/(GH)` `(GH):(GH)` cancels out `x` `=` `(y(G+H))/(HG)` Multiply `1` to the numerator and denominator `x=(y(G+H))/(HG)` 
Question 3 of 5
3. Question
Write `x` as the subject of the equation below`1/z=1/y+1/x`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 `1/y` from both sides`1/z` `=` `1/y+1/x` `1/z` `1/y` `=` `1/y+1/x` `1/y` `1/z1/y` `=` `1/x` `1/y1/y` cancels out `(yz)/(zy)` `=` `1/x` Cross multiply`(yz)/(zy)` `=` `1/x` `x(yz)` `=` `zy` Finally, divide both sides by `yz``x(yz)` `=` `zy` `x(yz)``:(yz)` `=` `zy``:(yz)` `x` `=` `(zy)/(yz)` `(yz):(yz)` cancels out `x=(zy)/(yz)` 
Question 4 of 5
4. Question
Solve for `t` given that `v=20`, `u=8` and `a=2``v=u+at` `t=` (6)
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 `t``v` `=` `20` `u` `=` `8` `a` `=` `2` `v` `=` `u+at` `20` `=` `8+2t` Substitute known values `20` `8` `=` `8+2t` `8` Subtract `8` from both sides `12` `=` `2t` `88` cancels out `12``:2` `=` `2t``:2` Divide both sides by `2` `6` `=` `t` `2:2` cancels out `t` `=` `6` Interchange the sides `t=6` 
Question 5 of 5
5. Question
Solve for `r` given that `a=2` and `S=25``S=a/(1r)`Write fractions in the format “a/b” `r=` (23/25)
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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 equationMultiply both sides of the equation to `1r``S` `=` `a/(1r)` `S``xx(1r)` `=` `a/(1r)``xx(1r)` `S(1r)` `=` `a` `1/(1r)xx(1r)` cancels out Divide both sides of the equation to `S``S(1r)` `=` `a` `S(1r)``:S` `=` `a``:S` `1r` `=` `a/S` Leave only `r` terms on the left`1r` `=` `a/S` `1r` `1` `=` `a/S` `1` Subtract `1` from both sides `r` `=` `a/S1` `11` cancels out Next, multiply both sides by `1``r` `=` `a/S1` `r``xx(1)` `=` `(a/S1)``xx(1)` `r` `=` `1a/S` Finally, substitute the given values to solve for `r``a` `=` `2` `S` `=` `25` `r` `=` `1a/S` `r` `=` `12/25` Substitute known values `r` `=` `25/252/25` Convert the whole number to a fraction `r` `=` `23/25` `r=23/25`
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
 MultiStep Equations 1
 MultiStep 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