Simplification and Approximation
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Questions and Answers

What is the value of $8rac{4}{17^2 - 3^2 - 6^3} = rac{x}{3}$?

  • 512
  • 64
  • 256
  • 128 (correct)
  • What is the value of $27 imes rac{390}{13} - 40 ext{% of }760 + 4^3 = x$?

  • 570
  • 430
  • 470 (correct)
  • 530
  • What is the value of $45 ext{% of }180 + \: \ ext{sqrt}(144) imes 8 = x^2 + 70 ext{% of }80$?

  • 10
  • 11 (correct)
  • 12
  • 13
  • What is the value of $ ext{sqrt}(529) imes 5 - 15 ext{% of }220 + x = 120 ext{% of }160$?

    <p>110</p> Signup and view all the answers

    What is the value of $(0.512) imesrac{2}{5} imes(0.8)^3ig/(0.4096) = (0.8)^{rac{x}{5}}$?

    <p>3</p> Signup and view all the answers

    Study Notes

    Algebraic Expressions

    • The value of $8\frac{4}{17^2 - 3^2 - 6^3} = \frac{x}{3}$ needs to be determined.
    • The value of $27 \times \frac{390}{13} - 40% of 760 + 4^3 = x$ needs to be determined.
    • The value of $45% of 180 + \sqrt{144} \times 8 = x^2 + 70% of 80$ needs to be determined.
    • The value of $\sqrt{529} \times 5 - 15% of 220 + x = 120% of 160$ needs to be determined.

    Exponents and Roots

    • The value of $(0.512) \times \frac{2}{5} \times (0.8)^3 \div (0.4096) = (0.8)^{\frac{x}{5}}$ needs to be determined.

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    Description

    Test your mathematical problem-solving skills with this quiz on simplification and approximation. Put your knowledge to the test and find the values of x in a series of equations involving operations like multiplication, division, percentages, and more.

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