Mixed Math Problems

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Questions and Answers

Which of the following scenarios requires applying the order of operations (PEMDAS) to solve correctly?

  • Determining the sine of an angle in a right triangle.
  • Simplifying the expression $3 + 4 \times 2 - 1$. (correct)
  • Calculating the area of a triangle given its base and height.
  • Finding the midpoint of a line segment on a coordinate plane.

Given a right triangle with legs of lengths 5 and 12, what is the length of the hypotenuse?

  • 13 (correct)
  • 7
  • 17
  • 60

Which of the following equations represents a linear equation?

  • $y = \sqrt{x} + 4$
  • $y = \frac{1}{x} + 5$
  • $y = x^2 + 3x - 1$
  • $y = 2x - 7$ (correct)

What does the derivative of a function at a specific point represent?

<p>The instantaneous rate of change of the function at that point. (A)</p> Signup and view all the answers

If two lines are perpendicular, and one line has a slope of 2, what is the slope of the other line?

<p>$-\frac{1}{2}$ (A)</p> Signup and view all the answers

What is the median of the following dataset: 5, 2, 9, 1, 5, 7, 3?

<p>5 (B)</p> Signup and view all the answers

Which of the following is an example of a composite number?

<p>15 (B)</p> Signup and view all the answers

In a standard Cartesian coordinate system, a line segment has endpoints at (1, 2) and (4, 6). What is the midpoint of this line segment?

<p>(2.5, 4) (B)</p> Signup and view all the answers

Given sin(θ) = 0.6 in a right triangle, what is the approximate value of cos(θ)?

<p>0.8 (D)</p> Signup and view all the answers

If the probability of an event A occurring is 0.3 and the probability of an event B occurring is 0.4, and A and B are independent events, what is the probability of both A and B occurring?

<p>0.12 (C)</p> Signup and view all the answers

Flashcards

Addition

Combining two or more numbers to find their total.

Subtraction

Finding the difference between two numbers.

Multiplication

Repeated addition of the same number.

Division

Splitting a number into equal parts.

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Variable

A symbol representing an unknown value.

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Equations

Statements showing equality between two expressions.

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Line

A straight path extending infinitely

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Line Segment

A part of a line with two endpoints.

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Triangle

A polygon with three sides and three angles.

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Quadrilateral

A polygon with four sides and four angles.

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