1076 words - 5 pages

COMALGE

FINAL EXAM (SET B)

September 5, 2013

I. MULTIPLE CHOICE

Write the letter corresponding to the correct answer. Write your answers on the ﬁrst page of your test booklet.

(2 points each)

1. The multiplicative inverse of the additive inverse of

−a

is

b−c

a

b−c

A.

C.

c−b

a

a

c−b

B.

D.

b−c

a

2. Which of the following is TRUE?

8. Factor x2 − 2xy + y 2 − xw + yw completely.

A. (x − y − w)(x − y)

C. xy(x − 2)(y + w)

B. (x − y + w)(x − y)

D. w(x − y)2

9. Each of the following is a factor of u6 − 64w6 EXCEPT

A. u − 2w

A. Rational numbers are integers.

B. u + 2w

B. Integers are whole numbers.

C. u2 − 2uw + 4w2

C. Whole numbers are ...view middle of the document...

x3 − 2x2 − 4x + 8

B. 9x2 − 24x + 16

D. x4 − 8x2 + 16

B. 50

C. 200

D. 1000

x2 + 2xy + y 2 x2 − y 2

6x + 6y

÷

·

(x − y)3

x+y

4x − 4y

when simpliﬁed is equal to

14. The expression

4(x + y)2

6(x − y)2

2(x + y)2

B.

3(x − y)2

C.

4(x + y)

6(x − y)

D.

A.

2(x + y)

3(x − y)

15. What is the sum of the roots of x2 − 4x + 1 = 0 ?

A. 2

B. −2

C. 4

D. −4

16. The LCD of

5 − y 3y + 1

7y 3

is

+ 2

−

y + 2 y − 4 (y − 2)2

22. When simpliﬁed,

A. (y + 2)(y − 2)

A. 4 − 2i

20 + 10i

is equal to

3 + 4i

B. 4 + 2i

C. 2 − 4i

D. 2 + 4i

2

B. (y − 2) (y + 2)

C. (y − 2)2 (y + 2)2

2

23. The solution to the inequality ax+b ≤ 0 where a < 0

and b > 0 is

2

D. (y − 4)(y − 2)

17. In the quadratic equation ax2 + bx + c = 0 , which of

the following gives the product of the roots?

A.

b

a

B.

c

a

18. Simplify the expression

C. −

b

a

D. −

c

a

4x2 y 3/4 z 1/6

32x−1 y 0 z −5/6

b

a

b

B. x ≤

a

b

a

b

D. x ≤ −

a

A. x ≥

C. x ≥ −

24. The solution to

xy 3/4

C. 8x3 y 3/4 z

2/3

8x

x3 y 3/4 z

8y 3/4

B.

D.

8

xz

√

√

√

√

3

4

19. Simplify 8a3 b3 + 3 ab − 8a4 b4 − 4a2 b2

√

√

A. (1 − 2ab)( 3 ab − 2ab)

√

√

B. ( ab + 3 ab)2ab

√

√

C. (2ab − 1) ab + (1 − 2ab) 3 ab

√

√

D. (1 − 2ab) ab + (2ab − 1) 3 ab

A.

20. The roots of the equation x2 + 2x + 2 = 0 are

A.

31

7

B. 8

25. Solving for L in M =

C. 3

L

P

PM

25 + f

25 + f

B. L =

PM

A. L =

D. −

25...

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