Midterm 1: Version C

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

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

9. [latex]0 \le 2x + 4 <8[/latex]
10. [latex]y-1[/latex] > [latex]3\text{ or }y-1<-3[/latex]
11. [latex]|2x-3|[/latex] > [latex]5[/latex]
12. Graph the relation [latex]y=| x | - 3.[/latex]
13. 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.
14. 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.
15. [latex]y[/latex] varies jointly with [latex]m[/latex] and inversely with the square of [latex]d.[/latex] If [latex]y = 3[/latex] when [latex]m = 2[/latex] and [latex]d = 4,[/latex] find the constant [latex]k,[/latex] then use [latex]k[/latex] to find [latex]y[/latex] when [latex]m = 25[/latex] and [latex]d = 5.[/latex]

Midterm 1: Version C Answer Key