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Questions and Answers
What is the value of x if 2x - 5 = 11?
What is the value of x if 2x - 5 = 11?
- x = 8
- x = 9 (correct)
- x = 10
- x = 12
Which of the following is the correct factorization of the expression 4x^2 - 25?
Which of the following is the correct factorization of the expression 4x^2 - 25?
- (4x - 25)
- (2x + 5)(2x + 5)
- (2x - 5)(2x + 5) (correct)
- (2x - 5)^2
What is the solution to the equation |3x - 7| = 10?
What is the solution to the equation |3x - 7| = 10?
- x = -1/3
- x = 7/3
- x = 17
- x = 17/3 (correct)
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Study Notes
Equations and Factorization
- To find the value of x in the equation 2x - 5 = 11, add 5 to both sides and divide by 2, resulting in x = 8.
- The correct factorization of the expression 4x^2 - 25 is (2x + 5)(2x - 5), which is a difference of squares.
- To solve the equation |3x - 7| = 10, consider two cases: 3x - 7 = 10 or 3x - 7 = -10, resulting in x = 9 or x = -1.
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