Isolating Variables Worksheet

This worksheet provides practice on isolating variables in various algebraic equations, suitable for Grade 12 students.

Grade 12 Math AlgebraIsolating Variables

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Includes

2 Short AnswerFill in the BlanksTrue / FalseMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.CED.A.4CCSS.MATH.CONTENT.HSA.APR.D.7

Topics

AlgebraIsolating VariablesEquationsGrade 12

7 sections · Free to use · Printable

Isolating Variables

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

1. Isolate 'x' in the equation: 5x - 3y = 12

2. Isolate 'h' in the formula for the volume of a cone: V = (1/3)πr²h

3. Isolate 't' in the equation: A = P(1 + rt)

4. To isolate a variable, you must perform the operation to both sides of the equation.

5. When solving for a variable in an inequality, if you multiply or divide by a negative number, you must the inequality sign.

6. In the equation 2(x + 3) = 10, the first step to isolate x is to subtract 3 from both sides.

True

False

7. The equation y = mx + b is already isolated for 'y'.

True

False

8. Which of the following is the correct isolation of 'r' in the formula for the circumference of a circle, C = 2πr?

r = C - 2π

r = C / (2π)

r = 2πC

r = 2π / C

9. Isolate 'y' in the equation: (x + y) / z = w

10. Isolate 'a' in the equation: F = ma