Mathematics Basic Questions Cycle 1
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Questions and Answers

What is the solution set for the inequality x ≥ −5 in interval notation?

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Which interval notation represents the set of all real numbers less than or equal to 4?

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What is the intersection of the intervals [2, 8] and [5, 10]?

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What is the factored form of the expression x2 − 4x + 4?

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Which of the following is an irrational number?

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What is the length of a rectangular garden that is 3 meters shorter than twice its width, given the perimeter is 26 meters?

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What is the distance between the points (1, 2) and (4, 6)?

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What are the coordinates of the midpoint of a line segment with endpoints at (0, -4) and (6, 2)?

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What is the slope of the line that passes through the points (2, 5) and (6, 11)?

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Which interval represents the solution to the inequality $x^2 - 5x + 6 \leq 0$?

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What is the slope of the line represented by the equation $2x + 3y = 6$?

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What is the length of the segment with endpoints at (-2, 5) and (4, -1)?

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What is the equation of the line in standard form that has a slope of $-\frac{2}{3}$ and passes through the point (6, -1)?

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Convert 120 degrees to radians.

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What is the length of the hypotenuse of a right triangle with legs measuring 5 and 12?

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If the tangent of an angle in a right triangle is $\frac{5}{12}$, what is the sine of that angle?

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Simplifying the quadratic expression $x^2 - 2x - 15$ gives which of the following factors?

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What is the result of simplifying the expression $x^2 - 2x - 15$?

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Convert $\frac{3\pi}{6}$ radians to degrees.

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What is the set of all real numbers greater than 2, written in interval notation?

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What is the union of the intervals (-∞, -1) and (3, ∞)?

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Which of the following correctly represents the set of all even numbers?

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Which of the following expressions represents the rational numbers?

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What is the solution set in interval notation for the inequality $3x - 5 < 10$?

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What is the length between the points (2, 5) and (8, -3)?

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What are the coordinates of the midpoint between the points (0, -4) and (6, 2)?

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What is the slope of the line that passes through the points (-2, 4) and (5, -1)?

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What is the solution set in interval notation for the inequality $x^2 + 3x - 10 > 0$?

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What is the factored form of the expression x2 + 5x + 6?

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What is the simplified expression for (a - b)2?

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Which of the following expressions is equivalent to (x + y)2?

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What is the solution to the equation 2x + 5 = 11?

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What is the correct solution for the equation 3x - 7 = 8?

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What are the solutions to the quadratic equation x2 - 4x - 5 = 0?

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A rectangular garden has a length that is twice its width. If the area is 162 square meters, what is the width of the garden?

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