SOLVING LITERAL EQUATIONS WORKSHEET
About "Solving Literal Equations Worksheet"
Solving Literal Equations Worksheet :
Worksheet given in this section is much useful to the students who would like to practice problems on solving literal equations.
Solving Literal Equations Worksheet - Problems
Problem 1 :
Solve for w in the formula for area of a rectangle :
A = l ⋅ w
Problem 2 :
Solve for c in the formula for Einstein’s Theory of Relativity :
E = mc2
Problem 3 :
Solve for h in the formula for the surface area of a right cylinder :
S = 2∏r(h + r)
Problem 4 :
Solve for r in the formula for volume of sphere :
V = 4/3 ⋅ ∏r3
Problem 5 :
Solve for w in the formula for perimeter of the rectangle :
P = 2(l + w)
Problem 6 :
Solve for a :
Q = 3a + 5ac
Problem 7 :
Solve for b1 :
A = 1/2 ⋅ h(b1 + b2)
Problem 8 :
Solve for b :
a2 + b2 = c2
Solving Literal Equations Worksheet - Solutions
Problem 1 :
Solve for w in the formula for area of a rectangle :
A = l ⋅ w
Solution :
A = l ⋅ w
Divide each side by l.
A / l = w
Problem 2 :
Solve for c in the formula for Einstein’s Theory of Relativity :
E = mc2
Solution :
E = mc2
Divide each side by m.
E / m = c2
Take square root on each side.
√(E/m) = √c2
√(E/m) = c
Problem 3 :
Solve for h in the formula for the surface area of a right cylinder :
S = 2∏r(h + r)
Solution :
S = 2∏r(h + r)
Use distributive property of multiplication over addition.
S = 2∏rh + 2∏r2
Subtract 2∏r2 from each side.
S - 2∏r2 = 2∏rh
Divide each side by 2∏r.
(S - 2∏r2) / 2∏r = h
Problem 4 :
Solve for r in the formula for volume of sphere :
V = 4/3 ⋅ ∏r3
Solution :
V = 4/3 ⋅ ∏r3
Multiply each side by 3/4.
3V/4 = ∏r3
Divide each side by ∏.
3V/4∏ = r3
Take cube root on each side.
3√(3V/4∏) = 3√r3
3√(3V/4∏) = r
Problem 5 :
Solve for w in the formula for perimeter of the rectangle :
P = 2(l + w)
Solution :
P = 2(l + w)
Use distributive property of multiplication over addition.
P = 2l + 2w
Subtract 2l from each side.
P - 2l = 2w
Divide each side by 2.
(P - 2l) / 2 = w
Problem 6 :
Solve for a :
Q = 3a + 5ac
Solution :
Q = 3a + 5ac
Factor a out of 3a + 5ac.
Q = a(3 + 5c)
Divide each side by (3 + 5c).
Q / (3 + 5c) = a
Problem 7 :
Solve for b1 :
A = 1/2 ⋅ h(b1 + b2)
Solution :
A = 1/2 ⋅ h(b1 + b2)
Multiply each side by 2/h.
2A/h = b1 + b2
Subtract b2 from each side.
2A/h - b2 = b1
Problem 8 :
Solve for b :
a2 + b2 = c2
Solution :
a2 + b2 = c2
Subtract a2 from each side.
b2 = c2 - a2
Take square root on each side.
√b2 = √(c2 - a2)
b = √(c2 - a2)
After having gone through the stuff given above, we hope that the students would have understood, "Solving Literal Equations Worksheet".
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WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
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Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
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Ratio and proportion shortcuts
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Domain and range of rational functions with holes
Graphing rational functions with holes
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Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
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Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
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Sum of all three four digit numbers formed with non zero digits
