# 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)

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.

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

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

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

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

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

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

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

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 .

22.(6 pts) Solve for x by using the square root property .
(ISOLATE x. Do NOT use the quadratic formula.) Express
work.

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

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