Grade 12 Expressions and Equations Worksheet
This worksheet covers advanced topics in expressions and equations for Grade 12 students, including solving complex equations, inequalities, and working with functions.
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Grade 12 Expressions and Equations
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Read each question carefully and provide clear, concise answers. Show all your work for full credit.
1. Solve the following rational equation: (x / (x - 3)) + (2 / (x + 1)) = (2x + 2) / (x^2 - 2x - 3)
2. Which of the following is the solution set for the inequality |2x - 5| > 7?
x < -1 or x > 6
-1 < x < 6
x > 6
x < -1
3. When solving radical equations, it is important to check for solutions, which are values that satisfy the transformed equation but not the original equation.
4. Solve for x: log₂(x) + log₂(x - 2) = 3
5. The equation 3^(2x-1) = 9^(x+2) has no solution.
True
False
6. Solve the following system of equations: y = x² - 4x + 5 y = 2x + 1