Midterm 1: Version B

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

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

9. [latex]6x - 4(3 - 2x)[/latex] > [latex]5 (3 - 4x) + 7[/latex]
10. [latex]-3 \le 2x + 3 < 9[/latex]
11. [latex]\left| \dfrac{3x+2}{5}\right| <2[/latex]
12. Graph the relation [latex]5x + 2y < 10.[/latex]
13. Find two consecutive even integers such that their sum is 16 less than five times the first integer.
14. 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.
15. [latex]P[/latex] varies directly as [latex]T[/latex] and inversely as [latex]V.[/latex] If [latex]P = 100[/latex] when [latex]T = 200[/latex] and [latex]V = 500,[/latex] find the constant [latex]k,[/latex] then use this to find [latex]P[/latex] when [latex]T = 100[/latex] and [latex]V = 500.[/latex]

Midterm 1: Version B Answer Key