Quiz about Pre Calc End of Q2 Review Fall 2024

Question 1

What does $$i$$ represent?

Accepted Answer

$$\sqrt{-1}$$

Answer

$$1$$

Answer

$$-1$$

Answer

$$\sqrt{1}$$

Question 2

What is $$i^2$$ equal to?

Accepted Answer

$$-1$$

Answer

$$1$$

Answer

$$\sqrt{1}$$

Answer

$$\sqrt{-1}$$

Question 3

What is $$\sqrt{25}$$ ?

Accepted Answer

$$5$$

Answer

$$-5$$

Answer

$$5i$$

Answer

$$-5i$$

Question 4

What is $$\sqrt{-25}$$ ?

Accepted Answer

$$5i$$

Answer

$$5$$

Answer

$$-5$$

Answer

$$-5i$$

Question 5

Which point represents $$-2+4i$$ ?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 6

Which complex number is represented by the point?

Accepted Answer

$$3-4i$$

Answer

$$4+3i$$

Answer

$$-4+3i$$

Answer

$$3+4i$$

Question 7

$$\sqrt[]{4}\ x\ \ \ \sqrt[]{-6}$$

Accepted Answer

$$2i\ \sqrt[]{6}$$

Answer

$$4i\ \sqrt[\ ]{6}$$

Answer

-2+7i

Answer

$$6\sqrt[]{2}$$

Question 8

Add the following together.

$$\left(3+5i\right)+\left(7+i\right)$$

Accepted Answer

$$10+6i$$

Answer

$$4+4i$$

Answer

$$21+5i$$

Answer

$$10+5i$$

Question 9

Add the following together.

$$\left(-4-3i\right)+\left(-3+2i\right)$$

Accepted Answer

$$-7-i$$

Answer

$$-1-i$$

Answer

$$12-6i$$

Answer

$$-1-5i$$

Question 10

Subtract the following.

$$\left(4+7i\right)-\left(1+i\right)$$

Accepted Answer

$$3+6i$$

Answer

$$5+8i$$

Answer

$$-3+11i$$

Answer

$$3+7i$$

Question 11

Subtract the following.

$$\left(-3-6i\right)-\left(4-5i\right)$$

Accepted Answer

$$-7-i$$

Answer

$$7+i$$

Answer

$$1-i$$

Answer

$$12+30i$$

Question 12

Multiply the following together.

$$\left(2+i\right)\left(3+2i\right)$$

Accepted Answer

$$4+7i$$

Answer

$$8+7i$$

Answer

$$12+12i$$

Answer

$$4+i$$

Question 13

Multiply the following together.

$$\left(2+3i\right)\left(4-6i\right)$$

Accepted Answer

$$26$$

Answer

$$26i$$

Answer

$$26+24i$$

Answer

$$62$$

Question 14

Simplify

$$\frac{4+3i}{2i}$$

Accepted Answer

$$\frac{3}{2}-2i$$

Answer

$$-2+\frac{3}{2}i$$

Answer

$$-5-2i$$

Answer

$$2+0i$$

Question 15

Simplify

$$\frac{1+i}{2-3i}$$

Accepted Answer

$$-\frac{1}{13}+\frac{5}{13}i$$

Answer

$$\frac{1}{13}-\frac{5}{13}i$$

Answer

$$-1+5i$$

Answer

$$1-5i$$

Question 16

Simplify

$$\frac{4-5i}{2+4i}$$

Accepted Answer

$$-\frac{3}{5}-\frac{13}{10}i$$

Answer

$$-3-13i$$

Answer

$$-5-10i$$

Answer

$$\frac{3}{5}+\frac{13}{10}i$$

Question 17

Find the modulus of the complex number.

$$z=3+i$$

Accepted Answer

$$\left|z\right|=\sqrt{10}$$

Answer

$$\left|z\right|=10$$

Answer

$$\left|z\right|=2$$

Answer

$$\left|z\right|=\sqrt{2}$$

Question 18

Find the modulus of the complex number.

$$z=2+5i$$

Accepted Answer

$$\left|z\right|=\sqrt{29}$$

Answer

$$\left|z\right|=5$$

Answer

$$\left|z\right|=2\sqrt{7}$$

Answer

$$\left|z\right|=7\sqrt{2}$$

Question 19

(3x² + 4x - 2) - (5x + 7)

Accepted Answer

3x² - x - 9

Answer

2x2 - 9

Answer

3x² + 9x - 5

Answer

3x² - x + 5

Question 20

(x+3)(x+1)

Accepted Answer

x2+4x+3

Answer

x2+3x+3

Answer

2x+4x+3

Answer

5x + 3

Question 21

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

Accepted Answer

3y³+ 7y²- 4y + 3

Answer

4y² + 3y³ - y + 3

Answer

-y⁴ + 2y³-y - 4

Answer

4y³+ 3y²-3y + 1

Question 22

Simplify the expression:
(p³ - 6p⁴ + 1) - (8p⁴ - 8p³ + 7)

Accepted Answer

-14p⁴ + 9p³ - 6

Answer

-14p⁴ + 9p³ + 6

Answer

-14p⁴ + 9p³ - 1

Answer

-15p⁴ + 9p³ + 6

Question 23

(x-3)(x²+2x+7)

Accepted Answer

x³-x²+x-21

Answer

x³+5x+13x-21

Answer

x³-3x²+7x-21

Answer

x2+2x-3

Question 24

(5x⁴- 4x³- 2x² + x - 19) - (x⁴+ 5x³ + 8x² + x + 5)

Accepted Answer

4x⁴- 9x³- 10x²- 24

Answer

4x⁴- 9x³ - 10x²- 2x - 24

Answer

4x⁴ - 9x³ - 10x² + 2x - 24

Answer

-4x⁴ - 9x³ - 10x² - 24

Question 25

What is the standard form of the polynomial,
7x - 125 - 6x⁴ + 14x²

Accepted Answer

-6x⁴+ 14x² + 7x - 125

Answer

125 + 7x - 14x² +6x⁴

Answer

6x⁴ -14x² - 7x +125

Answer

125 + 14x² + 7x - 6x⁴

Question 26

Which of the following are examples of like terms?

Accepted Answer

-3x and 3x

Answer

2 and 2x

Answer

y3 and x3

Answer

y and x

Question 27

Combine Like Terms

3x²-x+2-5x²+8x-5

Accepted Answer

-2x2+7x-3

Answer

8x2+9x+7

Answer

2x2+7x-3

Answer

5x2-3

Question 28

What is the degree of the polynomial 17x + 4

Accepted Answer

1

Answer

0

Answer

2

Answer

3

Question 29

What is the above expression classified as?

Accepted Answer

5th degree Monomial

Answer

10th degree Monomial

Answer

5th degree Trinomial

Answer

10th degree Polynomial

Question 30

7) Degree of 10 is ______

Accepted Answer

0

Answer

10

Answer

1

Answer

Undefined

Question 31

What is the degree of P(x) = (x)(x - 4)

Accepted Answer

2

Answer

0

Answer

1

Question 32

Given P(x) = (x - 2)(x+1)(x - 7), how many roots are there?

Accepted Answer

3

Answer

2

Answer

4

Question 33

What is the remainder when x⁴ - 5 is divided by x + 3?

Accepted Answer

76

Answer

81

Answer

7

Question 34

Expand (x -1)⁴

Accepted Answer

x⁴- 4x³+ 6x²- 4x + 1

Answer

x⁴+ 4x³- 6x²+ 4x - 1

Answer

x⁴+ 4x³+ 6x²+ 4x + 1

Answer

x⁴- 4x³+ 6x²- 4x + 4

Question 35

What is the LAST term in the expansion of (x + 4)⁵?

Accepted Answer

1024

Answer

640

Answer

160

Answer

64

Question 36

How many terms would be in the expanded form of (x - 3)⁵ ?

Accepted Answer

6

Answer

5

Answer

7

Answer

8

Question 37

Which row of Pascal's Triangle would you use to expand (x+2)³?

Accepted Answer

1 3 3 1

Answer

1

Answer

1 1

Answer

1 2 1

Question 38

What row of Pascal's Triangle would you use for (x-2)⁷?

Accepted Answer

1, 7, 21, 35, 35, 21, 7, 1

Answer

1, 5, 10, 5, 1

Answer

1, 5, 10, 10, 5, 1

Answer

1, 7, 21, 35, 21, 7, 1

Question 39

For synthetic division, what would be the number in the left hand box?

Accepted Answer

2

Answer

0

Answer

1

Answer

3

Question 40

If you were dividing x⁶ + 4x³ + 2, how many 0's would you need when setting up the top row of your synthetic division?

Accepted Answer

4

Answer

0

Answer

2

Answer

6

Question 41

Is (x-7) a factor of (x²-5x+14)?

Accepted Answer

No

Answer

Yes

Question 42

Simplify the following expression:

Accepted Answer

2

Answer

4

Answer

16

Answer

64

Question 43

$$\left(f^{-3}g^5h^8\right)^{-3}$$

Accepted Answer

$$\frac{g^9}{g^{15}h^{24}}$$

Answer

$$f^9g^5h^8$$

Answer

$$f^{-6}g^2h^5$$

Answer

$$\frac{g^2h^5}{f^6}$$

Question 44

$$3x^{-2}y^{-5}$$

Accepted Answer

$$\frac{3}{x^2y^5}$$

Answer

$$3x^{-2}y^{-5}$$

Answer

$$\frac{1}{x^2y^5}$$

Answer

$$3xy^{-7}$$

Question 45

$$\left(\frac{3x^7}{2y^{12}}\right)^0$$

Accepted Answer

1

Answer

$$\frac{x^7}{y^{12}}$$

Answer

0

Answer

$$\frac{3x^7}{2y^{12}}$$

Question 46

$$\left(\frac{3x^4}{y^6}\right)^5$$

Accepted Answer

$$\frac{243x^{20}}{y^{30}}$$

Answer

$$\frac{15x^{20}}{y^{30}}$$

Answer

$$\frac{3x^{20}}{y^6}$$

Answer

$$\frac{243x^9}{y^{11}}$$

Question 47

$$\left(\frac{a^3}{b^5}\right)^4$$

Accepted Answer

$$\frac{a^{12}}{b^{20}}$$

Answer

$$\frac{a^7}{b^5}$$

Answer

$$\frac{a^7}{b^9}$$

Answer

$$a^{12}b^{20}$$

Question 48

$$\left(\frac{6}{z^4}\right)^3$$

Accepted Answer

$$\frac{216}{z^{12}}$$

Answer

$$\frac{18}{z^4}$$

Answer

$$\frac{18}{z^{12}}$$

Answer

$$\frac{6}{z^{12}}$$

Question 49

$$\frac{5x^{-4}}{x^{-9}}$$

Accepted Answer

$$5x^5$$

Answer

$$5x^{-13}$$

Answer

$$\frac{5}{x^5}$$

Answer

$$\frac{1}{5x^5}$$

Question 50

$$p^2\cdot\left(p^5\right)^2$$

Accepted Answer

$$p^{12}$$

Answer

$$p^9$$

Answer

$$p^8$$

Answer

$$p^{10}$$

Question 51

$$\left(m^{-8}\right)^{-3}$$

Accepted Answer

$$m^{24}$$

Answer

$$m^{-24}$$

Answer

$$m^{11}$$

Answer

$$m^{-11}$$

Question 52

$$7x^3y^2\cdot5xy^9$$

Accepted Answer

$$35x^4y^{11}$$

Answer

$$12x^4y^{11}$$

Answer

$$35x^3y^{11}$$

Answer

$$12x^3y^{11}$$

Question 53

(7uv2)-5

Accepted Answer

1/7⁵u⁵v¹⁰

Answer

-35uv-10

Answer

-5/7uv2

Answer

1/7uv10

Question 54

Simplify (-4r⁵)(2r⁸)

Accepted Answer

-8r13

Answer

-2r13

Answer

-8r40

Answer

-2y40

Pre Calc End of Q2 Review Fall 2024

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