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Isolating Variables Worksheet

Grade 9 Algebra worksheet focusing on isolating variables in linear equations, literal equations, and equations with fractions.

Grade 9 Math AlgebraIsolating Variables
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.4CCSS.MATH.CONTENT.HSA.REI.B.3

Topics

AlgebraIsolating VariablesEquationsGrade 9
7 sections · Free to use · Printable
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Isolating Variables Worksheet

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

1. Solve for x: 3x + 7 = 22

2. Isolate y: 5y - 12 = 3y + 4

3. To isolate x in the equation (x/4) - 2 = 5, first add 2 to both sides, then  .

4. When solving for 'a' in (2a/3) + 1 = 7, after subtracting 1 from both sides, you should  .

5. Which operation is performed first to isolate 'p' in the equation 4(p - 3) = 20?

a

Divide by 4

b

Add 3

c

Subtract 3

d

Multiply by 4

6. The formula for the area of a rectangle is A = lw. Isolate 'w'.

7. Isolate 'h' in the formula for the volume of a cylinder, V = πr²h.

8. To isolate 'x' in the equation 2(x + 5) = 16, the first step is to distribute the 2.

T

True

F

False