EQAUTIONS
Solve for (x ): \(x + 12 = 27\)
\(x = 15\) [1]
(x - 5 > 12\)
(x > 17\)
(y = \frac{2}{3}x - 5\)
(m = \frac{2}{3}\) [1, 2]
(f(x) = 3x + 4\) for \(x = 5\).
(f(5) = 19\)
Find the missing angle of a triangle if two of its angles measure (50^{\circ }\) and \(70^{\circ }).
(60^{\circ }\) (Since all angles in a triangle must add up to \(180^{\circ }\
(y\): (3y - 7 = 14\)
(y = 7\) [1]
(4y \leq 24\)
(y \leq 6\)
(2, 5)\) and (6, 13)
(m = 2\) [1, 2]
(g(x) = x^2 - 3x\), what is the value of \(g(-2)\)?
(g(-2) = 10\)
Calculate the area of a circle that has a diameter of (16\text{ cm}\). (Leave your answer in terms of (\pi \)
(64\pi\text{ cm}^2\) (The radius is \(8\text{ cm}\); area formula is \(A = \pi r^2\
(5m + 4 = 2m + 22\)
(m = 6\) [1]
(2m + 7 < 19\)
(m < 6\)
Find the slope of a line that is perfectly horizontal.
(m = 0\) [1, 2, 3]
(x) = \frac{5}{x - 4}\)?
(x = 4\) (or \(x \neq 4)
400-Point Question
What is the sum of the measures of the interior angles of a regular hexagon (6-sided polygon)?
(720^{\circ }\) (Using the polygon interior angle formula: (n - 2) \times 180^\circ\
(4(a - 3) = 16\)
(a = 7\)
(3(a - 4) geq 15
(a \geq 9\)
(4x - 2y = 12\)
(y = 2x - 6\)
(f^{-1}(x)\), for the function \(f(x) = \frac{x + 7}{3}\).
(f^{-1}(x) = 3x - 7\)
A right triangle has a leg measuring \(5\text{ inches}\) and a hypotenuse measuring \(13\text{ inches}\). Find the length of the missing leg
\(12\text{ inches}\) (Using the Pythagorean theorem: \(a^2 + b^2 = c^2\)
w/3 + 8 = 2
(w = -18\) [1]
(-2w + 6 < 16\)
(w > -5\)
Find the slope of a line that runs completely perpendicular to a line with a slope of (-\frac{1}{4}
(m = 4\)
(f(x) = \frac{5}{x - 4})?
(x = 4\) (or \(x \neq 4
Find the distance between the two coordinate points \((1, 1)\) and \((5, 4)\) on a Cartesian plane.
\(5\) (Using the 2D coordinate distance formula)