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Algebraic Manipulation Quiz

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Questions and Answers

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?

(4x - 25)

(2x + 5)(2x + 5)

(2x - 5)(2x + 5) (correct)

(2x - 5)^2

What is the solution to the equation |3x - 7| = 10?

x = -1/3

x = 7/3

x = 17

x = 17/3 (correct)

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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Description

Test your algebra skills with this quiz! Solve equations like 2x - 5 = 11, factor expressions like 4x^2 - 25, and find solutions to equations involving absolute value, such as |3x - 7| = 10. See how well you can manipulate algebraic expressions and solve for unknown variables.