Algebraic Expressions and Equations Quiz
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Questions and Answers

What is the value of x in the equation 3(5x + 4) = 7294?

  • 2
  • 8 (correct)
  • 4
  • 10
  • If 4x × 3y = 20736, then what is the value of 12 x y xy ( − +)?

  • 8 (correct)
  • 2
  • 6
  • 4
  • Simplify the expression 3xy z - 3 4 43 2 43 34 9x yz 6x y z 3xy z 2xy z ÷.

  • 1 3xyz (correct)
  • x yz
  • 3y xz
  • xyz
  • What is the number of integer solutions of 3x – 2x + 12x – 18x = 0?

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    If ( ) ( ) 2 abc 1 3 4 2.3.5 9 25 2 = , and ab bc ca = x4, then x = .

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    Study Notes

    Equations and Expressions

    • To solve for x in the equation 3(5x + 4) = 7294, we need to isolate the variable x.
    • The equation 4x × 3y = 20736 involves the product of two variables, x and y.
    • The expression 3xy z - 3(4/3) × 2(43/34) × 9x yz / 6x y z - 3xy z / 2xy z can be simplified by combining like terms.
    • The equation 3x – 2x + 12x – 18x = 0 has multiple solutions, but we can find the number of integer solutions.

    Algebraic Manipulations

    • The expression (2/3)abc = (1/3) × 4/5 × 2 × 3/5 × 9/25 × 2 can be simplified by canceling out common factors.
    • The equation ab bc ca = x4 involves the product of three variables, a, b, and c, and the fourth power of x.

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    Description

    Test your algebraic skills with this quiz involving simplifying expressions and solving equations. Evaluate your ability to manipulate algebraic equations and find the values of variables.

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