1.{3 pts} Factor completely.

54x^{3} - 2000

2.{3 pts} Factor completely.

xy-6y-7x+42

3.(3 pts) Find the LCD for the following

denominators.

4. OPTIONAL PROBLEM FOR EXTRA CREDIT (5 pts)

Find the distance between the points (2,4) and (5,13). Show your work.
Simplify your answer . Donotu3eadecimaf.

5.(6 pts) Find the equation of the line that contains {5,11}
and that is perpendicular to the line 6x+7y=1. Express your

answer in general form (Ax + By = C; no fractions or decimals ; A is positive ).
Show your work.

6 (6 pts) Add or subtract as indicated . Write the answer as a single fraction
in lowest terms . Show your work.

7.(5 pts) Simplify
Do not use decimals or radicals in your answer . Show your work.

8.{5 pts} Evaluate
Do not use decimals in your

answer. Show your work

8.{3 pts} Simplify
Do not use decimals or radicals in

the answer. Show your work.

10.{4 pts} Simplify
Do not use decimals in the

answer. Show your work.

11.{3 pts} Simplify. Do not use decimals. Show your work.

12.{5 pts} Simplify. Do not use decimals. Show your work.

13.(5 pts) Multiply and simplify . Do not use decimals. Show

your work.

14.(5 pts) Rationalize the denominator. Reduce your answer . Do not use
decimals. Show your work.

15,(5 pts) Write the quotient in standard a + bi form. (Get i out of the
denominator and put the result in standard form.) show

your work.

16.(3 pts) Add, Do not use decimals.

17.(4 pts) Add. Do not use decimals. Show your work.

18.(4 pts) Multiply. Do not use decimals. Simplify the

answer. Show your work.

19.(4 pts) State the quadratic formula that is used to solve

for x in the equation ax^{2} + bx + c = 0.

20.(6 pts) Solve for x Show your work, and show your

checking.

21.(6 pts) Solve for x by using the quadratic formula .

Express your answer as a single fraction in lowest terms.

Show your work

22.(6 pts) Solve for x by using the square root property .

(ISOLATE x. Do NOT use the quadratic formula.) Express

your answer as a single fraction in lowest terms. Show your

work.

23.(6 pts) Solve for x by using the quadratic formula.

Express your answer in standard a + bi form.