Midterm 1 Preparation

# Midterm 1: Version C

1. Evaluate $-b - \sqrt{b^2 - 4ac}$ if $a=4, b=4,$ and $c=1.$
2. Solve for $x$ in the equation $2(x - 4)+8 = 3-7(x+3).$
3. Isolate the variable $B$ in the equation $A=\dfrac{h}{B+b}.$
4. Solve for $x$ in the equation $\dfrac{x}{15} - \dfrac{x-3}{3} = \dfrac{1}{5}.$
5. Write the equation of the vertical line that passes through the point $(-2, -2).$
6. Find the equation that has a slope of $\dfrac{2}{3}$ and passes through the point $(0, -3).$
7. Find the equation of the line passing through the points $(14, -6)$ and $(-1, 4).$
8. Graph the relation $2x-y=-2.$

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

1. $0 \le 2x + 4 <8$
2. $y-1$ > $3\text{ or }y-1<-3$
3. $|2x-3|$ > $5$
4. Graph the relation $y=| x | - 3.$
5. 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.
6. 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.
7. $y$ 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 $d = 5.$

Midterm 1: Version C Answer Key