Algebra 2 - Chapter 8&9 Review

Question 1

Use the Binomial Theorem to write the binomial expansion of \left(x-2\right)^3

Accepted Answer

x^3-6x^2+12x-8

Question 2

The initial value of a bike is $2500. Each year the value declines 7%. What is the value after 4 years, rounded to the $

Accepted Answer

2011

Question 3

Out of 500 surveyed, 262 either play soccer or golf. 183 golf. 119 play soccer. What is prob. that they play both?

Accepted Answer

0.08

Question 4

Two-way table below. Find probability of a defective part, given that it failed the test. Round to nearest tenth of a %.

Accepted Answer

72.7%

Question 5

Find the next term in the pattern of the sequence: \frac{7}{4},\frac{5}{4},\frac{3}{4},\frac{1}{4},...

Accepted Answer

-\frac{1}{4}

Question 6

In a survey, 87.5% own a truck. 61% of those who have a truck, also have a boat. What is the probability they own both?

Accepted Answer

53.4\%

Question 7

You roll 1 die numbered 1 to 6 and spin a spinner w/ the colors red, green, &pink. How many possible outcomes are there?

Accepted Answer

18

Question 8

A bag contains 8 pennies & 5 dimes. You randomly select two coins from the bag. You place the coin back after each pull.

Accepted Answer

0.379

Question 9

Consider the sequence shown. Find n such that a_n=2619

Accepted Answer

42

Question 10

The first row in a theatre has 15 seats. Each row after the first has four more seats than the row before.

Accepted Answer

79

Question 11

The probability of event C is \frac{5}{11}. What is the probability of the complement of C? P\left(\overline{C}\right)

Accepted Answer

\frac{6}{11}

Question 12

Find the next term in the pattern of the sequence:1.3,3.9,11.7,35.1,...

Accepted Answer

105.3

Question 13

You have an inflated balloon. It has a diameter of 16 cm. Each time you blow into it, the diameter increases by 3 cm.

Accepted Answer

16+3n

Question 14

For Event X and Event Y,P\left(X\right)=\frac{3}{5},\left(Y\right)=\frac{7}{12} and P\left(XandY\right)=\frac{19}{60}

Accepted Answer

No, they are not independent

Question 15

Write the first 6 terms of the sequence a_n=3n^2-4

Accepted Answer

-1, 8, 23, 44, 71, 104

Questions 15