Midterm 1 Preparation

# Midterm 1: Version B

1. Evaluate: $-b - \sqrt{b^2 - 4ac}$ if $a=5,$ $b=6,$ and $c=1.$
2. Solve for $x$ in the equation $3(5x - 6) = 4\left[-3(2 - x)\right].$
3. Isolate the variable $b$ in the equation $A=\dfrac{h}{B \cdot b}.$
4. Solve for $x$ in the equation $\dfrac{x+3}{5} - \dfrac{x}{2} = \dfrac{5-3x}{10}.$
5. Find the equation of the horizontal line that passes through the point $(-3, 4).$
6. Find the equation that has a slope of $\dfrac{1}{3}$ and passes through the point $(-1, 4).$
7. Find the equation of the line passing through the points $(0, 4)$ and $(-3, 5).$
8. Graph the relation $y = \dfrac{1}{3}x - 2.$

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

1. $6x - 4(3 - 2x)$ > $5 (3 - 4x) + 7$
2. $-3 \le 2x + 3 < 9$
3. $\left| \dfrac{3x+2}{5}\right| <2$
4. Graph the relation $5x + 2y < 10.$
5. Find two consecutive even integers such that their sum is 16 less than five times the first integer.
6. 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.
7. $P$ 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 $V = 500.$

Midterm 1: Version B Answer Key