Isolating Variables Worksheet
Grade 11 Algebra worksheet focusing on isolating variables in various equations, including linear, quadratic, and literal equations.
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Isolating Variables
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Read each question carefully and isolate the specified variable. Show all your work.
1. Isolate 'x' in the equation: 5x - 7 = 3x + 9
2. Solve for 'y' in the equation: 2(y + 4) = 3y - 1
3. Isolate 'h' in the formula for the area of a trapezoid: A = (1/2)h(b1 + b2)
4. Solve for 'r' in the circumference formula: C = 2πr
5. Isolate 'x' in the equation: x² + 5 = 21
6. Solve for 't' in the equation: A = P(1 + rt)
7. Which of the following correctly isolates 'm' in the equation E = mc²?
m = E - c²
m = E/c²
m = c²/E
m = E + c²
8. To isolate 'x' in the equation 3x + y = z, you would first subtract 'y' from both sides.
True
False