Grade 12: Rearranging Equations

This worksheet focuses on rearranging complex algebraic equations to solve for specific variables, suitable for Grade 12 mathematics.

Grade 12 Math AlgebraRearranging Equations

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Includes

4 Short AnswerMultiple ChoiceTrue / FalseFill in the Blanks

Standards

CCSS.MATH.CONTENT.HSA.CED.A.4CCSS.MATH.CONTENT.HSA.APR.D.6

Topics

AlgebraRearranging EquationsGrade 12Solving for Variables

9 sections · Free to use · Printable

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Read each question carefully and rearrange the given equation to solve for the specified variable. Show all your work.

1. Rearrange the formula for the area of a trapezoid, A = (1/2)h(b₁ + b₂), to solve for h.

2. Given the equation 1/R_total = 1/R₁ + 1/R₂, solve for R₁.

3. The compound interest formula is A = P(1 + r/n)^(nt). Rearrange this formula to solve for P.

4. Rearrange the ideal gas law equation, PV = nRT, to solve for T.

5. What is the correct rearrangement of y = mx + b to solve for x?

x = (y - b) / m

x = y/m - b

x = my - b

x = m(y - b)

6. To solve for 'a' in the equation b = (a + c)/d, the first step is to multiply both sides by d.

True

False

7. When rearranging an equation, the goal is to isolate the desired variable on one side of the .

8. To undo multiplication in an equation, you should use the operation of .