Solve the linear equation for x: 3x - 7 = 14.
Algebra And Functions
Question · Easy
Factor it
Short
Evaluate the quadratic function f(x) = 2x^2 - 3x + 5 when x = 3.
Simplify the algebraic expression: (4x^3 y^2)(3x^2 y^4).
Find the slope of the line passing through the points (2, 5) and (6, 13).
Factor the quadratic expression: x^2 - 9x + 20.
Stats test: find the median
Identify the y-intercept of the line given by the equation y = -4x + 7.
Simplify the radical expression: sqrt(75).
Solve the linear inequality for x: 2x + 5 < 13.
In a right triangle, the two legs measure 6 cm and 8 cm. What is the length of the hypotenuse?
Geometry And Measurement
Would you rather: marbles
What is the sum of the interior angles of a convex 5-sided polygon (pentagon)?
Calculate the exact area of a circle with a radius of 7 cm.
In right triangle ABC with right angle at C, the side opposite angle A is 3 units and the hypotenuse is 5 units. What is sin(A)?
Find the distance between the points (1, 2) and (4, 6) in the coordinate plane.
Find the midpoint of the line segment connecting the points (-2, 4) and (6, 8).
What is the volume of a rectangular prism with a length of 5 m, a width of 4 m, and a height of 3 m?
Two angles are complementary. If the measure of one angle is 34°, what is the measure of the other angle?
Find the perimeter of a rectangle with a length of 12 cm and a width of 5 cm.
In circle O, a central angle measures 80°. What is the measure of its intercepted arc?
Translate the point (3, -2) by the translation vector < -4, 5 >. What are the coordinates of the image?
What are the coordinates of the point (4, -5) after a reflection across the x-axis?
What is the slope of a line parallel to the line given by y = 3x - 8?
What is the slope of a line perpendicular to a line with slope 2/5?
Find the radius of the circle with equation (x - 2)^2 + (y + 3)^2 = 36.
Calculate the mean of the data set: {4, 8, 12, 16, 20}.
Statistics And Probability
Find the median of the data set: {3, 7, 9, 15, 21, 25}.
What is the probability of rolling a number greater than 4 on a standard fair 6-sided die?
A bag contains 4 red marbles, 5 blue marbles, and 3 green marbles. What is the probability of selecting a red marble at random?
Find the range of the following data set: {12, 45, 22, 68, 31, 19}.
If event A and event B are independent with P(A) = 0.4 and P(B) = 0.5, find P(A and B).
Identify the mode of the data set: {5, 8, 5, 12, 14, 8, 5, 9}.
Solve the system of linear equations for (x, y): 2x + y = 11 x - y = 1
Question · Medium
Solve the quadratic equation by factoring: x^2 - 6x + 8 = 0.
Find the vertex of the parabola given by y = x^2 - 8x + 15.
Simplify the rational expression: (x^2 - 16) / (x^2 - 2x - 8).
An initial investment of 1,000 USD grows exponentially at an annual interest rate of 5%. Which function models the total value V(t) after t years?
Solve the quadratic equation: 2x^2 + 5x - 3 = 0.
Determine the domain of the real-valued function f(x) = sqrt(2x - 8).
If f(x) = 3x - 5 and g(x) = x^2 + 2, find the composite function f(g(x)).
Solve the absolute value equation for x: |2x - 3| = 7.
How does the graph of g(x) = (x - 3)^2 + 4 compare to the parent function graph f(x) = x^2?
Find the roots of x^2 - 4x - 5 = 0 by completing the square.
Simplify the expression: (27x^6 y^3)^(1/3).
Which of the following ordered pairs is in the solution set of the system of inequalities? y >= 2x - 1 y < -x + 4
In right triangle ABC with right angle C, angle A = 30° and hypotenuse c = 12 cm. Find the length of side a (opposite angle A).
In a 45°-45°-90° right triangle, the hypotenuse measures 8*sqrt(2) cm. What is the length of one leg?
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