Isolating Variables Worksheet
This worksheet provides practice on isolating variables in various algebraic equations, suitable for Grade 12 students.
Includes
Standards
Topics
Isolating Variables
Name:
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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
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