Assignment

Factor completely and simplify:

1. 8 - 20x^-1- 12x^-2

2. 12x²- 14xy - 6y² 3. 4(r +3)^-(1/3)- 5(r +3)^-(7/3)

4. Simplify. Assume all variables represent positive real numbers. Write answers with only positive exponents.

8m^-3p⁴/12m⁴ np⁷

5. Solve for x:2x - 5q = 2w + q - ax

6. Super Nutty Mix costs $4.75 per pound. Chocolate Lovers Mix costs $3.50 per pound. The market wants to create 30 pounds of a ChocoNut Mix which will sell for $4.00 by combining these two mixes. How many pounds of each should the market mix together?

7. Jacqui wants to earn $1987.50 by next year for a study abroad program. She has $22,500 to invest, She can invest part at 8% and part at 9.5%. How much should she put in each investment in order to earn the money she needs?

8. (2x⁴ + 5x³ + 8x -7) ÷ (x + 1)

Find the x- and y-intercepts of each graph:
9. 4x - 3y = 8

10. y = 2x²- 5x + 5

11. Write the equation of the line through (3, -2) and (-1, 5) (slope-intercept form)

12. Write the equation of the line parallel to 3x - 2y = 4 through (-2, 5) (general form)

13. Write the equation of the line perpendicular to 3x-2y = 4 through (2, 0) (general form)