32 Midterm 1: Version B
- Evaluate: \(-b - \sqrt{b^2 - 4ac}\) if \(a=5,\) \(b=6,\) and \(c=1.\)
- Solve for \(x\) in the equation \(3(5x - 6) = 4\left[-3(2 - x)\right].\)
- Isolate the variable \(b\) in the equation \(A=\dfrac{h}{B \cdot b}.\)
- Solve for \(x\) in the equation \(\dfrac{x+3}{5} - \dfrac{x}{2} = \dfrac{5-3x}{10}.\)
- Find the equation of the horizontal line that passes through the point \((-3, 4).\)
- Find the equation that has a slope of \(\dfrac{1}{3}\) and passes through the point \((-1, 4).\)
- Find the equation of the line passing through the points \((0, 4)\) and \((-3, 5).\)
- Graph the relation \(y = \dfrac{1}{3}x - 2.\)
For questions 9 to 11, find each solution set and graph it.
- \(6x - 4(3 - 2x) > 5 (3 - 4x) + 7\)
- \(-3 \le 2x + 3 < 9\)
- \(\left| \dfrac{3x+2}{5}\right| <2\)
- Graph the relation \(5x + 2y < 10.\)
- Find two consecutive even integers such that their sum is 16 less than five times the first integer.
- Karl is going to cut a 40 cm cable into 2 pieces. If the first piece is to be 4 times as long as the second piece, find the length of each piece.
- \(P\) varies directly as \(T\) and inversely as \(V.\) If \(P = 100\) when \(T = 200\) and \(V = 500,\) find the constant \(k,\) then use this to find \(P\) when \(T = 100\) and \(V = 500.\)
