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Q1. What is the value of x in the equation 5x - 2 = 3x + 6?
Solution:
Subtract 3x from both sides: 2x - 2 = 6. Then add 2: 2x = 8. Finally, divide by 2: x = 4.
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Q2. Which of the following is the standard form of a linear equation?
Solution:
The standard form of a linear equation is Ax + By = C.
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Q3. What is the solution set for the inequality 2x + 1 ≥ 5?
Solution:
Subtract 1 from both sides: 2x ≥ 4. Then divide by 2: x ≥ 2.
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Q4. What is the factored form of the polynomial x^2 - 4?
Solution:
This is a difference of squares: x^2 - 4 = (x - 2)(x + 2).
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