Literal Equations Practice Problems with Answers

There are ten (10) literal equations practice problems ahead. They come in a mix of difficulty levels, so some might seem like a breeze while others might challenge you a bit more. Remember, just like any other skill, the more you practice, the better and more confident you become. Good luck!


Problem 1: Solve the literal equation for [latex]g[/latex].

[latex]{\Large{1 \over 2}}gn\,- \,a=a[/latex]

Answer
g=4a/n

Problem 2: Solve the literal equation for [latex]y[/latex].

[latex]2x\, -\, 6y = 4[/latex]

Answer
y=(x-2)/3

Problem 3: Solve the literal equation below for [latex]w[/latex].

[latex]k = m\left( {w + 2} \right)[/latex]

Answer
w=(k/m)-2

Problem 4: Solve the literal equation below for [latex]b[/latex].

[latex]bk \,- \,k = a[/latex]

Answer
b=(a+k)/k

Problem 5: Solve the literal equation below for [latex]p[/latex].

[latex]{\Large{{j\, – \,p} \over p}} = 1[/latex]

Answer
p=j/2

Problem 6: Solve the literal equation below for [latex]d[/latex].

[latex]dc + a = c\, – \,dc[/latex]

Answer

Problem 7: Solve the literal equation below for [latex]x[/latex].

[latex]{\Large{{x\, – \,y} \over z}} +{\Large {{x\, – \,y} \over z}} = 4x[/latex]

Answer

Problem 8: Solve the literal equation below for [latex]c[/latex].

[latex]{\Large{{c\, + \,1} \over 2}} = 2\left( {x\, -\, 2c} \right)[/latex]

Answer
c=(4x-1)/9

Problem 9: Solve the literal equation below for [latex]k[/latex].

[latex]{\Large{{k\, +\, r\, – \,1} \over {2r}}} = {\Large{{k\, – \,1} \over 2}}[/latex]

Answer
k=(1-2r)/(1-r)

Problem 10: Solve the literal equation below for [latex]e[/latex].

[latex]{\Large{1 \over m}}\, +\, {\Large{1 \over e}} \,- \,{\Large{1 \over w}} = 0[/latex]

Answer


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