# MATH 100 TEST 4

1.{3 pts} Factor completely.
54x3 - 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 ax2 + 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.

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