Literal Equations Worksheet

A Grade 12 Math worksheet focusing on rearranging and solving literal equations for a specified variable.

Grade 12 Math AlgebraLiteral Equations

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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HS.A.CED.A.4

Topics

AlgebraLiteral EquationsSolving EquationsRearranging FormulasGrade 12 Math

7 sections · Free to use · Printable

Literal Equations

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Read each question carefully and solve for the indicated variable. Show all your work.

1. The formula for the area of a trapezoid is A = 0.5h(b₁ + b₂). Solve this equation for h.

2. The formula for the future value of an investment compounded annually is A = P(1 + r)ᵗ. Solve this equation for P.

3. Given the equation F = (9/5)C + 32, if we solve for C, the first step is to subtract 32 from both sides, resulting in F - 32 = .

4. To solve P = 2l + 2w for w, the final step involves dividing by .

5. Which of the following is the correct rearrangement of V = πr²h for h?

h = V - πr²

h = Vπr²

h = V/(πr²)

h = πr²/V

6. To solve for 'x' in the equation ax + by = c, the first step is to divide by 'a'.

True

False

7. The formula for the total resistance R of two resistors R₁ and R₂ connected in parallel is 1/R = 1/R₁ + 1/R₂. Solve this equation for R₁.