Quiz about Unit 4 part a Test Review

Question 1

The complex number $$13+6i$$ represents which radical

expressions below?

Accepted Answer

$$13+\sqrt[]{-36}$$

Answer

$$13-\sqrt[]{-36}$$

Answer

$$13+\sqrt[]{-2}$$

Answer

$$13+\sqrt[]{36}$$

Question 2

$$i^{256}$$

Accepted Answer

1

Answer

i

Answer

-i

Answer

-1

Question 3

What is the simplified form of $$-7\sqrt[]{-27}$$

Accepted Answer

$$-21i\ \sqrt[]{3}$$

Answer

21i

Answer

10i

Answer

$$-63i\ \sqrt[]{3}$$

Question 4

Two complex numbers are given below

$$x=-5+3i$$

$$y=8-2i$$

Using these complex numbers, which equations are true? Select THREE that apply.

Accepted Answer

$$y-x=13-5i$$

Accepted Answer

$$2y+x=11-i$$

Accepted Answer

$$x^2=19-30i$$

Answer

$$x\cdot y=-40+34i$$

Answer

$$x+y=13+5i$$

Question 5

A study shows that hospital admissions for asthma, a

breathing disorder, increase on days when the

concentration of ozone in the air is elevated. Surprisingly,

low concentrations of ozone actually decrease asthma

admissions. This is because another chemical released with

the ozone has beneficial effects, although these are

overcome by the negative effects of higher ozone

concentrations. The graph shows that hospital asthma

admissions as a function of ozone concentration fit a

parabolic model: $$y=0.01x^2-0.6x+19.8$$

What are the coordinates at which asthma admissions are

at the same level as when there are no ozone emissions at

all?

Accepted Answer

(60, 19.8)

Answer

(30,10.8)

Answer

(100, 11.5)

Answer

(20.1, 1.5)

Question 6

Which of these represents $$-12x^2+34x-14$$ in factored form?

Accepted Answer

(3x-7)(1-2x)

Answer

(3x-7)(2x-1)

Answer

(7x-3)(x-2)

Answer

(x+28)(x+6)

Question 7

Which equation is equivalent to $$y-3=-7\left(x-5\right)^2$$

Accepted Answer

$$y=-7x^2+70x-172$$

Answer

$$y=-7x^2-172$$

Answer

$$y=-7x^2-178$$

Answer

$$y=-7x^2+70x-178$$

Question 8

A faucet takes 6 minutes longer to fill an empty bathtub than

a drain takes to empty the full bathtub. When the faucet is

on and the drain is open, the full tub empties in 36 minutes.

The quadratic equation below can be used to find , the

number of minutes the drain takes to empty the full bathtub

when the faucet is on.

$$t^2+7t-330=0$$

Which equation is equivalent to the above equation and

BEST reveals the number of minutes the drain takes to

empty the full bathtub?

Accepted Answer

(t+22)(t-15)

Answer

$$\left(t+3.5\right)^2-338.75$$

Answer

$$\left(t+3.5\right)^2-330$$

Answer

(t-22)(t+15)

Question 9

Which of the following shows $$9x^2-12x+4$$ factored

completely?

Accepted Answer

$$\left(3x-2\right)^2$$

Answer

$$\left(3x+2\right)^2$$

Answer

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

Answer

(3x-4)(3x-1)

Question 10

Which of the following values for x are solutions to the

equation ? Select TWO that apply. $$x^2-2x=-12$$

Accepted Answer

$$1+i\ \sqrt[]{11}$$

Accepted Answer

$$1-i\ \sqrt[]{11}$$

Answer

$$1+2i\ \sqrt[]{11}$$

Answer

$$1-2i\ \sqrt[]{11}$$

Answer

0

Question 11

Simplify.

$$\left(5-3i\right)\left(2+4i\right)$$

Accepted Answer

22-14i

Answer

10-12i

Answer

10-14i-12i²

Answer

12-10i

Question 12

Simplify.

(-5+2i)-(-7-3i)

Accepted Answer

2+5i

Answer

7i

Answer

2-5i

Answer

-12-i

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