Free Printable CA Final REV Part II Cumulative Variety

1.

3+√-4

a)

1

b)

3-2i

c)

5

d)

3+2i

2.

Simplify:
(10+ 15i) - (48 - 30i)

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

3.

(1-3i)(2+5i)

a)

22-i

b)

16-i

c)

17-i

4.

(3+8i)(-2-i)

a)

2-19i

b)

23-i

c)

34+5i

d)

23-i

5.

3i + 2i

a)

5i

b)

5i²

c)

6i

d)

-5

6.

(2i)(3i)

a)

5i

b)

-5

c)

6i

d)

-6

7.

Simplify
(-6 - 2i)²

a)

32

b)

36-4i

c)

36+24i

d)

32+24i

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

Factor Completely:
3x² + 18x +15

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

13.

Factor the trinomial.
x² - 13x - 30

a)

(x + 2)(x - 15)

b)

(x - 2)(x + 15)

c)

(x - 3)(x - 10)

d)

(x + 10)(x - 3)

14.

Factor Completely:
3x⁵ - 27x³

a)

3(x³ - 3)(x²+ 3)

b)

prime

c)

3x³(x² - 9)

d)

3x³(x - 3)(x + 3)

15.

x² - 9

a)

(x + 3)²

b)

(x + 3) (x - 3)

c)

(x - 3)²

d)

x + 3(x - 3)

16.

4x² - 16

a)

4(2x + 4) (x - 2)

b)

4(4x + 2) (x - 2)

c)

(2x + 4) (2x - 4)

d)

4(x + 2) (x - 2)

17.

Factor Completely

x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

18.

Factor Completely: 6x² + 5x - 6

a)

6(x + 1)(x - 6)

b)

(6x + 6)(x - 1)

c)

(2x - 3)(3x + 2)

d)

(3x - 2)(2x + 3)

19.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

20.

Factor:
4h² - 17h + 4

a)

(2h - 2)²

b)

4(h + 4)(h + 1)

c)

(2h - 2)(2h + 2)

d)

(h - 4)(4h - 1)

21.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

22.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

23.

Factor the polynomial:
5x² - 13x + 6

a)

(x + 3)(5x - 2)

b)

(x - 2)(5x - 3)

c)

(x + 2)(5x + 3)

d)

(x - 3)(5x + 2)

24.

Factor Completely:
6x² + 5x - 6

a)

6(x + 1)(x - 6)

b)

(6x + 6)(x - 1)

c)

(2x - 3)(3x + 2)

d)

(3x - 2)(2x + 3)

25.

Factor completely.
5x² - 13x + 6

a)

(x - 3)(5x - 2)

b)

(5x - 3)(x - 2)

c)

5(x - 3)(x + 2)

d)

Not factorable

26.

Find the product: $\left(y+4\right)^{3\ }$

a)

$y^3+64$

b)

$y^2+8y+16$

c)

$y^3+12y^2+48y+64$

d)

$y^3+4y^2+16y+64$

27.

Find the product: $\left(2x+5\right)^3$

a)

$8x^3+60x^2+150x+125$

b)

$8x^3+125$

c)

$8x^3+150x^2+60x+125$

d)

$8x^3+20x^2+50x+125$

28.

Cube a binomial pattern: $\left(a+b\right)^3$

a)

$a^3+3a^2b+3ab^2+b^3$

b)

$a^3+b^3$

c)

$a^3-3a^2b+3ab^2-a^3$

d)

$a^{3\ }+a^2b+ab^2+b^3$

29.

Find the product: $\left(m-2\right)^3$

a)

$m^3-6m^2+12m-8$

b)

$m^3-8$

c)

$m^2-4m+4$

d)

$m^3-2m^2+6m-8$

30.

Find the product: $\left(2x+3y\right)^3$

a)

$4x^3+27y^3$

b)

$8x^3+36x^2y+54xy^2+27y^{3\ }$

c)

$8x^3+12x^2y+18xy^2+27y^3$

d)

$8x^3+36x^2y+18xy^2+27y^3$

31.

$\left(x+2y\right)^3$ Find the product:

a)

$x^3+6x^2y+12xy^2+y^3$

b)

$x^3+8y^3$

c)

$x^3+6x^2y+4xy^2+8y^3$

d)

$x^3+6x^2y+12xy^2+8y^3$

32.

Find the horizontal asymptote.

a)

y = -2

b)

none

c)

y = 0

d)

y = 1/2

33.

What are the asymptotes?

a)

x=-2 and y=-1

b)

x=-2 and y=1

c)

x=2 and y=1

d)

x=2 and y = -1

34.

When finding the Horizontal asymptotes of a function, you should be thinking...

a)

"Set Bottom = to Zero"

b)

"Top = 0"

c)

"f(0)"

d)

"Look at the Degree of the top and bottom..."

35.

Which asymptote(s) are determined by looking at the denominator?

a)

vertical

b)

horizontal

c)

slant

d)

none

36.

Find the Vertical Asymptotes

a)

x= 0, -2

b)

x= 2

c)

x= -3, 2

d)

x = -3,1

37.

What is the Vertical Asymptotes?

a)

x= -5

b)

x= 5

c)

x= 6

d)

x= -6

38.

Find the horizontal asymptote.

a)

None

b)

y = 0

c)

y = -1/3

d)

y = -3

39.

What is the horizontal asymptote?

a)

y = -4

b)

y = 1

c)

x = 1

d)

y = -6

40.

Find the horizontal asymptote.

a)

None

b)

y=-2

c)

y=2

d)

y=0

41.

The horizontal asymptote equals zero when:

a)

the degree of the numerator and denominator are equal

b)

the degree of the numerator is less than the degree of the denominator

c)

the degree of the numerator is greater than the degree of the denominator

d)

the numerator equals zero

42.

What is the horizontal asymptote to this function?

a)

y=4

b)

y=0

c)

y=-2

d)

y=1

43.

a)

y = 0

b)

y = 1/2

c)

y = 2

d)

None

44.

What is the Domain of $y=-\frac{3}{x+3}-2$ ?

a)

$x\ne-3$

b)

$y\ne-3$

c)

$x\ne-2$

d)

$y\ne-2$

e)

All Real Numbers

45.

What is the domain and range?

a)

D : All real number x ≠ -3
R: All real number y≠ 1

b)

D : All real number x ≠ 1
R: All real number y≠ -3

c)

D : All real number x ≠ 3
R: All real number y≠ 1

d)

D : All real number x ≠ -1
R: All real number y≠ 3

CA Final REV Part II Cumulative Variety

Total questions: 45

Worksheet time: 2hrs 15mins

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