33 Midterm 1: Version C
- Evaluate \(-b - \sqrt{b^2 - 4ac}\) if \(a=4, b=4,\) and \(c=1.\)
- Solve for \(x\) in the equation \(2(x - 4)+8 = 3-7(x+3).\)
- Isolate the variable \(B\) in the equation \(A=\dfrac{h}{B+b}.\)
- Solve for \(x\) in the equation \(\dfrac{x}{15} - \dfrac{x-3}{3} = \dfrac{1}{5}.\)
- Write the equation of the vertical line that passes through the point \((-2, -2).\)
- Find the equation that has a slope of \(\dfrac{2}{3}\) and passes through the point \((0, -3).\)
- Find the equation of the line passing through the points \((14, -6)\) and \((-1, 4).\)
- Graph the relation \(2x-y=-2.\)
For questions 9 to 11, find each solution set and graph it.
- \(0 \le 2x + 4 <8\)
- \(y-1 >3\text{ or }y-1<-3\)
- \(|2x-3| >5\)
- Graph the relation \(y=| x | - 3.\)
- Find two numbers such that 5 times the larger number plus 3 times the smaller is 49, and 4 times the larger minus twice the smaller is 26.
- Karl is going to cut a 42 cm cable into 2 pieces. If the first piece is to be 5 times as long as the second piece, find the length of each piece.
- \(y\) varies jointly with \(m\) and inversely with the square of \(d.\) If \(y = 3\) when \(m = 2\) and \(d = 4,\) find the constant \(k,\) then use \(k\) to find \(y\) when \(m = 25\) and \(d = 5.\)
