Quiz about IM3 2nd Semester Exam Review

Question 1

What type of sampling is represented in the scenario?

A principal sends out an email to all teachers and asks them to respond to a survey regarding the students at LTHS.

Accepted Answer

Self-Selected Sample

Answer

Simple Random Sample

Answer

Systematic Sample

Answer

Cluster Sample

Question 2

Which function has a graph with the domain $$x\ge4$$ and a range $$y\ge-5$$ ?

Accepted Answer

$$f\left(x\right)=\sqrt[]{x-4}-5$$

Answer

$$f\left(x\right)=\sqrt[]{x-4}+5$$

Answer

$$f\left(x\right)=\sqrt[]{x+4}+5$$

Answer

$$f\left(x\right)=\sqrt[]{x+4}-5$$

Question 3

What is the reduced radical of $$5\ \sqrt[]{2x}+3\ \sqrt[]{18x}-4\ \sqrt[]{75x}$$ ?

Accepted Answer

$$14\ \sqrt[]{2x}-20\ \sqrt[]{3x}$$

Answer

$$11\ \sqrt[]{2x}-20\ \sqrt[]{3x}$$

Answer

$$34\ \sqrt[]{2x}$$

Answer

$$14\ \sqrt[]{2x}-20\ \sqrt[]{15x}$$

Question 4

Simplify: $$\frac{3}{4\ -\ \sqrt[]{5}}$$

Accepted Answer

$$\frac{12+3\ \sqrt[]{5}}{11}$$

Answer

$$\frac{12+3\ \sqrt[]{5}}{16}$$

Answer

$$\frac{4+\ \sqrt[]{5}}{7}$$

Answer

$$\frac{12+\sqrt[]{5}}{11}$$

Answer

$$\frac{15\ \sqrt[]{5}}{11}$$

Question 5

Let $$f\left(x\right)=x+5$$ and $$g\left(x\right)=x^3$$ . Find g composite f (-3).

Accepted Answer

8

Answer

-22

Answer

-54

Answer

512

Question 6

Let $$f\left(x\right)=3x-1$$ and $$g\left(x\right)=x+6.$$

Find $$f\left(x\right)\ -g\left(x\right).$$

Accepted Answer

2x - 7

Answer

2x + 5

Answer

$$3x^2+17x-6$$

Answer

-2x + 7

Question 7

Let $$g\left(x\right)=4x^2+3$$ and $$k\left(x\right)=\sqrt[]{x-5}$$ .

Find g(k(x)).

Accepted Answer

4x - 17

Answer

$$4x^2+3x-15$$

Answer

4x + 23

Answer

16x - 17

Question 8

Solve the following equation for x, check for extraneous solutions.

$$\sqrt[]{3x+16}=x+2$$

Accepted Answer

x = 3

Answer

x = 4

Answer

x = 3 and x = -4

Answer

x = 4 and x = -3

Question 9

Find the inverse of the function $$f\left(x\right)=x^6+2,\ if\ x\ge0$$

Accepted Answer

$$f^{-1}\left(x\right)=\sqrt[6]{x-2}$$

Answer

$$f^{-1}\left(x\right)=\sqrt[6]{x+2}$$

Answer

$$f^{-1}\left(x\right)=\sqrt[]{x-2}$$

Answer

$$f^{-1}\left(x\right)=x^6+2$$

Question 10

Evaluate the series. $$\sum_{x=1}^7\left(x+8\right)$$

Accepted Answer

84

Answer

4,728,969

Answer

28

Answer

56

Question 11

Is the sequence geometric? If so, identify the common ratio.

200, 100, 50, 25, . . .

Accepted Answer

Yes, r = 0.5

Answer

Yes, r = 2

Answer

No

Answer

Yes, r = 25

Question 12

Is the sequence arithmetic or geometric?

If so, identify the common ratio or common difference.

14, 28, 42, 56, . . .

Accepted Answer

Arithmetic;

d = 14

Answer

NO

Answer

Geometric;

r = 2

Answer

Arithmetic;

d = 7

Question 13

What is the sum of the geometric series rounded to the nearest whole number?

$$\sum_{x=1}^{10}3\left(\frac{1}{3}\right)^{x-1}$$

Accepted Answer

4

Answer

5

Answer

3

Answer

23

Question 14

What is the equation if the function $$f\left(x\right)=3^x$$ is translated up 4 units and reflected over the x-axis?

Accepted Answer

$$f\left(x\right)=-1\left(3\right)^x+4$$

Answer

$$f\left(x\right)=3^{-x}+4$$

Answer

$$f\left(x\right)=-1\left(3\right)^{x+4}$$

Answer

$$f\left(x\right)=3^{-x-4}$$

Question 15

Which function has a range of {y I y <0}?

Accepted Answer

$$f\left(x\right)\ =-2\left(\frac{1}{5}\right)^x$$

Answer

$$f\left(x\right)\ =2\left(\frac{1}{5}\right)^x$$

Answer

$$f\left(x\right)\ =\left(\frac{1}{5}\right)2^x$$

Answer

$$f\left(x\right)\ =\left(\frac{1}{5}\right)2^{-x}$$

Question 16

Paul's bank offers a 4% interest rate, compounded continuously. How much money would he need to invest in order to have $1,200 in his account after 5 years?

Accepted Answer

$982.48

Answer

$1,201.91

Answer

$1,198.09

Answer

$1,465.68

Question 17

Alice invests $6,075 in saving account with a fixed annual interest rate of 5.03%, compounded quarterly. What will the account balance be after 5 years?

Accepted Answer

$7,779.92

Answer

$7,812.16

Answer

$6,090.31

Answer

$7,731.16

Question 18

Write the expression as a single logarithm.

$$7\ln p-\frac{1}{3}\left(\ln\ a\ +\ \ln\ b^3\right)$$

Accepted Answer

$$\ln\left(\frac{p^7}{b\sqrt[3]{a}}\right)$$

Answer

$$\ln\left(7p3b\sqrt[3]{a}\right)$$

Answer

$$\ln\left(p^7\right)-\ln\left(b\sqrt[]{a}\right)$$

Answer

$$\ln\left(p^7b\sqrt[3]{a}\right)$$

Question 19

Solve $$\log\ 3x\ +\ \log\ 7\ =\ 2$$ . Round to the nearest hundredth if necessary.

Accepted Answer

4.76

Answer

9.09

Answer

233.33

Answer

0.10

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