Free Printable CATA Chapter 0 Review

1.

Factor completely: 3x²-36x+96

a)

(x-4)(x-8)

b)

3(x-4)(x-8)

c)

3(x+1)(x+32)

d)

3(x-2)(x+16)

2.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

3.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

4.

Seen on all sunscreen bottles, what does the term SPF stand for?

a)

Skin Polution Factor

b)

Sun Protection Factor

c)

Sun Production Faction

d)

Skin Preservation Facilitator

5.

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

a)

58 - 45i

b)

58 - 15i

c)

-38 - 15i

d)

-38 + 45i

6.

Simplify:
(7 + 2i)(9 - 6i)

a)

75-24i

b)

63 - 24i - 12i²

c)

51 - 24i

d)

58 + 60i

7.

Factor completely: 49x²+28x+4

a)

(49x+4)(x+1)

b)

(7x+2)²

c)

(7x+1)(7x+4)

d)

(7x-2)²

8.

How much of our planet's plant life is found in the ocean?

a)

25%

b)

55%

c)

75%

d)

85%

9.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

10.

Rationalize the denominator. Simplify the answer. $\frac{5\ +\sqrt{3}}{2\ -\sqrt{3}}$

a)

$13\ +7\sqrt{3}$

b)

$-13\ +7\sqrt{3}$

c)

$13\ -7\sqrt{3}$

d)

$13\ +\sqrt{3}$

11.

Rationalize the denominator. Simplify the expression. $\frac{2\ -\sqrt{3}}{4\ +\sqrt{3}}$

a)

$\frac{11\ +6\sqrt{3}}{13}$

b)

$\frac{11\ -6\sqrt{3}}{13}$

c)

$\frac{-11\ +\sqrt{3}}{13}$

d)

$\frac{-11\ +2\sqrt{3}}{13}$

12.

Butterflies taste with their...

a)

feet

b)

nose

c)

wings

d)

eyes

13.

What does i² equal?

a)

-1

b)

√-1

c)

1

d)

-√1

14.

Simplify

a)

(-10+6i)/17

b)

(1+50i)/61

c)

(-23+36i)/25

d)

(-21+33i)/34

15.

Simplify.

a)

b)

c)

d)

16.

How many burgers does Mcdonalds sell in a second?

a)

50

b)

75

c)

105

d)

120

17.

Factor 4y² – 9.

a)

(2y + 3)(2y – 3)

b)

prime

c)

(2y + 3)(2y + 3)

d)

(2y – 3)(2y – 3)

18.

Factor: 8x³ - 1

a)

(2x - 1)(4x² + 2x + 1)

b)

(2x + 1)(4x² - 2x + 1)

c)

(2x - 1)(4x² - 2x - 1)

d)

(2x + 1)(4x² +2x + 1)

19.

Complete the formula
a³-b³=

a)

(a-b)(a²+ab+b²)

b)

(a+b)(a²-ab+b²)

c)

(a-b)(a²-ab+b²)

d)

(a+b)(a²+ab+b²)

20.

Which month is National Ice Cream month?

a)

May

b)

June

c)

July

d)

August

21.

Divide

a)

1/6

b)

x+10/ 6x+60

c)

x+8/ 6x+60

d)

(x+10)(x+8)/ 6x+60

22.

a)

a

b)

b

c)

c

d)

d

23.

Every power of i that is greater than 4 is equivalent to either i, i², i³, or i⁴

a)

True

b)

False

24.

How long do pineapples take to grow?

a)

6 months

b)

10 months

c)

1 year

d)

2 years

25.

Find the value of i⁶¹

a)

-1

b)

i

c)

1

d)

-i

26.

Which of the following are equivalent to i⁴⁴? Select all that apply.

a)

i⁴

b)

-1

c)

i²

d)

1

27.

Find GCF of 22x³+11x²

a)

11x

b)

11x²

c)

22x

d)

22x²

28.

How long does the average (promedio/común) person waits at traffic lights in their lifetime (vida)?

a)

1 week

b)

2 weeks

c)

3 weeks

d)

4 weeks

29.

Factor completely

45xy + 15x³y + 10y

a)

5y (9xy + 3x²+ 2y)

b)

5xy (9 + 3x²+ 2)

c)

5x (9y + 3xy + 2)

d)

5y (9x + 3x³ + 2)

30.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

31.

Simplify: $\frac{\frac{x}{x-1}+\frac{3}{x+5}}{\frac{5}{x+5}-\frac{x}{x-1}}$

a)

$\frac{x^2+2x+15}{-x^2-5}$

b)

$\frac{x^2+8x-3}{x^2+10x-5}$

c)

$\frac{x^2+2x+15}{x^2+10x-5}$

d)

$\frac{x^2+8x-3}{-x^2-5}$

32.

Where can you buy watermelons shaped (con forma de) like pyramids?

a)

Japan

b)

China

c)

Korea

d)

Mongolia

33.

Simplify: $\frac{\frac{1}{k+2}}{\frac{5}{k^2-4}}$

a)

$\frac{k-2}{5}$

b)

$\frac{k+2}{5}$

c)

$\frac{5}{k-2}$

d)

$k-2$

34.

Write as a radical expression
y²⁄ ³

a)

2y³

b)

√y³

c)

∛y²

d)

3y²

35.

Simplify:

a)

2

b)

8

c)

16

d)

32

36.

What is the national animal of Scotland?

a)

Lion

b)

Eagle

c)

Unicorn

d)

Puffin

37.

.

a)

A

b)

B

c)

C

d)

D

38.

√(-300)

a)

10i√3

b)

15√15

c)

-10√3

d)

2i√13

39.

A complex number can be expressed as a + bi. What does a represent?

a)

the real part of the complex number

b)

the imaginary part of the complex number

c)

depends on the sign of the number

d)

the square root of the complex number

40.

How long can snails sleep?

a)

5 months

b)

1 year

c)

2 years

d)

3 years

41.

Leon is asked to simplify √-120. A good first step would be to...

a)

divide 120 by 2

b)

replace the negative with an i on the outside of the radical

c)

take the square root of -120

d)

graph y = √-120

42.

The complex conjugate can be found by...

a)

Changing the sign of both a and b

b)

Changing the sign of a

c)

Changing the sign of b

d)

Switching the a and b values

43.

If you are adding two complex numbers you should

a)

add all the numbers together then divide by 2

b)

add only the real numbers and subtract the complex numbers

c)

add only the complex numbers and subtract the real numbers

d)

add only the real numbers together and then add only the complex numbers together then stop

44.

The strongest muscle in proportion to its size (tamaño) in the human body is...

a)

Thigh

b)

Arm

c)

Nose

d)

Tongue

45.

When we simplify divisions of complex numbers we mutliply both the numerator and the denominator by the denominator.

a)

true

b)

false

46.

The complex conjugate of 4 + 3i is

a)

3 + 4i

b)

3 - 4i

c)

4 - 3i

d)

4 + 3i

47.

What is the conjugate of -8i?

a)

-8i

b)

8i

c)

8

d)

-8

48.

What is the most popular summer vacation location?

a)

a famous city

b)

the beach/ocean

c)

a national park

d)

the lake

49.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

50.

What is the simplified form of the above?

a)

7/10 + 11/10 i

b)

13/10 +1/10 i

c)

5/4 - 3/2i

d)

7/10 - 11/10 i

51.

a)

b)

c)

d)

52.

Add the following rational expression.

a)

(7x+3) / (x-5)(x+8)

b)

(2x+3) / (x-5)(x+8)

c)

(2x+4) / (x-5)(x+8)

d)

(7x+4) / (x-5)(x+8)

53.

a)

b)

c)

d)

CATA Chapter 0 Review

Total questions: 53

Worksheet time: 4hrs 13mins

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