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Rearranging Equations Worksheet

A Grade 10 Math worksheet focused on rearranging algebraic equations to solve for specific variables.

Grade 10 Math AlgebraRearranging Equations
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Includes

4 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.4

Topics

AlgebraRearranging EquationsSolving for VariablesGrade 10 Math
9 sections · Free to use · Printable
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Rearranging Equations

Name:

Date:

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

1. Rearrange the equation 3x + 5y = 15 to solve for x.

2. Rearrange the equation A = P(1 + rt) to solve for r.

3. Fill in the blanks to show the steps for rearranging V = (1/3)πr²h to solve for h.

Original Equation: V = (1/3)πr²h

Multiply both sides by 3:  

Divide both sides by πr²:  

Final equation for h:  

4. Which of the following is the correct rearrangement of F = ma to solve for a?

a

a = F - m

b

a = F / m

c

a = m / F

d

a = F + m

5. Rearrange the equation y = mx + c to solve for m.

6. To solve for 'b' in the equation 2a + b = c, you would subtract 2a from both sides.

T

True

F

False

7. Given the formula for the perimeter of a rectangle, P = 2(l + w), rearrange it to solve for l.