Midterm 1: Version A

Midterm 1 Preparation

Evaluate: $-b - \sqrt{b^2 - 4ac}$ if $a=4,$ $b=-3,$ and $c=-1.$
Solve for $x$ in the equation $2(x - 5) - 85 = 3 - 9(x + 6).$
Isolate the variable $b$ in the equation $A = \dfrac{h}{B-b}$ .
Solve for $x$ in the equation $\dfrac{x+1}{4} - \dfrac{5}{8} = \dfrac{x-1}{8}$ .
Write an equation of the vertical line that passes through the point $(-2, 5).$
Find the equation that has a slope of $\dfrac{2}{5}$ and passes through the point $(-1, -2).$
Find the equation of the line passing through the points $(-2, 0)$ and $(6, 4)$ .
Graph the relation $y = \dfrac{2}{3}x - 1$ .

For questions 9 to 11, find each solution set and graph it.

$6x - 5(1 + 6x) > 67$
$-10 \le 4x - 2 \le 14$
$\left| \dfrac{3x+2}{5} \right| = 2$
Graph the relation $5x + 2y < 15.$
Find two numbers such that 5 times the larger number plus 3 times the smaller is 47, and 4 times the larger minus twice the smaller is 20.
Karl is going to cut a 36 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 $n$ and inversely with the square of $d.$ If $y = 3$ when $m = 2,$ $n = 8,$ and $d = 4,$ find the constant $k,$ then use $k$ to find $y$ when $m = 15,$ $n = 10,$ and $d = 5.$

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