10th Grade Math Practice

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Questions and Answers

What is the value of x when 2x - 5 = 15?

  • x = -5
  • x = 10 (correct)
  • x = 20
  • x = 5

What is the area of a rectangle with length 8 cm and width 5 cm?

  • 40 sq cm (correct)
  • 20 sq cm
  • 13 sq cm
  • 56 sq cm

If a circle has a radius of 6 cm, what is its circumference?

  • 37.68 cm
  • 12.56 cm
  • 25.12 cm (correct)
  • 18.84 cm

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Study Notes

Solving Equations

  • To find the value of x in the equation 2x - 5 = 15, add 5 to both sides and then divide by 2, resulting in x = 10.

Rectangular Geometry

  • The area of a rectangle is calculated by multiplying the length by the width.
  • The area of a rectangle with a length of 8 cm and a width of 5 cm is 8 cm × 5 cm = 40 cm².

Circular Geometry

  • The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius.
  • The circumference of a circle with a radius of 6 cm is C = 2π(6 cm) = 12π cm or approximately 37.7 cm.

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