Question 1

How many lines are determined by 9 points if no 3 points lie on a straight line?

Accepted Answer

A)  72 
B)  32 
C)  25 
D)  29 
E)  36 
A)  72 
B)  32 
C)  25 
D)  29 
E)  36

Question 2

Verify the formula for $n = 1,2,3$, and 4 . Is it correct?
$$2 + 4 + 6 \cdots + 2 n = \frac { 5 n ( n + 1 ) } { 2 }$$

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Question 3

For a 7-day Hawaii vacation, Beth borrowed $2,450 for 6 months at an annual rate of 10.6%, compounded monthly.What did she owe?

Accepted Answer

A) $2,629.66 
B) $2,582.75 
C) $5,259.32 
D) $3,039.65 
E) $3,438.94 
A) $2,629.66 
B) $2,582.75 
C) $5,259.32 
D) $3,039.65 
E) $3,438.94

Question 4

Find the periodic payment required to repay $21,860 over 12 years, with monthly payments at a 10% annual rate.Round to the nearest cent.

Accepted Answer

A) P = $261.24 
B) P = $380.28 
C) P = $221.56 
D) P = $340.60 
E) none of the above 
A) P = $261.24 
B) P = $380.28 
C) P = $221.56 
D) P = $340.60 
E) none of the above

Question 5

Find the sum of the first five terms of the sequence with the following general term. $9 k ^ { 0 }$

Accepted Answer

A)  44 
B)  135 
C)  45 
D)  90 
E)  none of these 
A)  44 
B)  135 
C)  45 
D)  90 
E)  none of these

Question 6

To fund Jamie's lottery winnings of $17,200 per month for the next 18 years, the lottery commission needs to make a single deposit now.Assuming 9.7% compounded monthly, what should the deposit be?
Round to the nearest cent.

Accepted Answer

A) $1,753,996.94 
B) $1,666,277.05 
C) $1,753,995.04 
D) $1,753,975.84 
E) $1,753,956.94 
A) $1,753,996.94 
B) $1,666,277.05 
C) $1,753,995.04 
D) $1,753,975.84 
E) $1,753,956.94

Question 7

A Super Ball rebounds to approximately 91% of the height from which it is dropped.If the ball is dropped from a height of 8 meters, how high will it rebound after the 17th bounce?

Accepted Answer

A) 1.61 meters 
B) 146.50 meters 
C) 2.01 meters 
D) 2.41 meters 
E) 2.61 meters 
A) 1.61 meters 
B) 146.50 meters 
C) 2.01 meters 
D) 2.41 meters 
E) 2.61 meters

Question 8

Property values in the suburbs have been appreciating about 11% annually.If this trend continues, what will a $180,000 home be worth in four years? Give the result to the nearest dollar.

Accepted Answer

A) $549,927 
B) $273,253 
C) $276,674 
D) $274,487 
E) $274,253 
A) $549,927 
B) $273,253 
C) $276,674 
D) $274,487 
E) $274,253

Question 9

The 12th term of an arithmetic sequence is 83, and the first term is -5.Find the common difference.

Accepted Answer

A) 8 
B) -2 
C) 18 
D) -8 
E) 2 
A) 8 
B) -2 
C) 18 
D) -8 
E) 2

Question 10

Bank One offers a passbook account with a 5.5% annual rate, compounded quarterly.Bank Two offers a money market account at 4.5%, compounded monthly.Find the better growth by calculating the
Effective rates.What is the greater effective rate?

Accepted Answer

A) 4.59% 
B) 5.61% 
C) 0.05% 
D) 0.06% 
E) none of the above 
A) 4.59% 
B) 5.61% 
C) 0.05% 
D) 0.06% 
E) none of the above

Question 11

Insert four arithmetic means between -8 and 17.

Accepted Answer

A)  $\quad - 3,3,8,13$ 
B)  $\quad 4,9,14,19$ 
C)  $- 3,2,7,12$ 
D)  $- 7 , - 6 , - 5 , - 4$ 
E)  $0,1,2,3$ 
A)  $\quad - 3,3,8,13$ 
B)  $\quad 4,9,14,19$ 
C)  $- 3,2,7,12$ 
D)  $- 7 , - 6 , - 5 , - 4$ 
E)  $0,1,2,3$

Question 12

Evaluate the expression. $6 !$

Accepted Answer

A)  5040 
B)  720 
C)  30 
D)  120 
E)  6 
A)  5040 
B)  720 
C)  30 
D)  120 
E)  6

Question 13

The managers of a company's pension fund invest the monthly employee contributions of $90,000 into a government fund paying 8.7%, compounded monthly.To what value (rounded to the nearest
Thousand) will the fund grow in 11 years?

Accepted Answer

A) $19,813,000 
B) $19,818,000 
C) $19,799,000 
D) $19,792,700 
E) $19,792,000 
A) $19,813,000 
B) $19,818,000 
C) $19,799,000 
D) $19,792,700 
E) $19,792,000

Question 14

Assume that $100 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 10%.Find the accumulated amount after 4 years.Round to the nearest cent.

Accepted Answer

A) $464.10 
B) $664.10 
C) $564.10 
D) $414.10 
E) none of the above 
A) $464.10 
B) $664.10 
C) $564.10 
D) $414.10 
E) none of the above

Question 15

If you changed the following decimal into a fraction and reduced it to lowest terms, what would be its denominator? $0 . \overline { 4 }$

Accepted Answer

A)  99 
B)  9 
C)  9999 
D)  90 
E)  $\quad 999$ 
A)  99 
B)  9 
C)  9999 
D)  90 
E)  $\quad 999$

Question 16

Find the sum of the first 4 terms of the geometric sequence whose second and fifth terms are 20 and
1280.

Accepted Answer

A)  85 
B)  1705 
C)  425 
D)  105 
E)  84 
A)  85 
B)  1705 
C)  425 
D)  105 
E)  84

Question 17

Assume that $50 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 8%.Find the accumulated amount after 6 years.Round to the nearest cent.

Accepted Answer

A) $366.80 
B) $416.80 
C) $516.80 
D) $216.80 
E) none of the above 
A) $366.80 
B) $416.80 
C) $516.80 
D) $216.80 
E) none of the above

How many lines are determined by 9 points if no 3 points lie on a straight line?

Verify the formula for $n = 1,2,3$ , and 4 . Is it correct? $2 + 4 + 6 \cdots + 2 n = \frac { 5 n ( n + 1 ) } { 2 }$

For a 7-day Hawaii vacation, Beth borrowed $2,450 for 6 months at an annual rate of 10.6%, compounded monthly.What did she owe?

Find the periodic payment required to repay $21,860 over 12 years, with monthly payments at a 10% annual rate.Round to the nearest cent.

Find the sum of the first five terms of the sequence with the following general term. $9 k ^ { 0 }$

To fund Jamie's lottery winnings of $17,200 per month for the next 18 years, the lottery commission needs to make a single deposit now.Assuming 9.7% compounded monthly, what should the deposit be? Round to the nearest cent.

A Super Ball rebounds to approximately 91% of the height from which it is dropped.If the ball is dropped from a height of 8 meters, how high will it rebound after the 17th bounce?

Property values in the suburbs have been appreciating about 11% annually.If this trend continues, what will a $180,000 home be worth in four years? Give the result to the nearest dollar.

The 12th term of an arithmetic sequence is 83, and the first term is -5.Find the common difference.

Bank One offers a passbook account with a 5.5% annual rate, compounded quarterly.Bank Two offers a money market account at 4.5%, compounded monthly.Find the better growth by calculating the Effective rates.What is the greater effective rate?

Insert four arithmetic means between -8 and 17.

Evaluate the expression. $6 !$

The managers of a company's pension fund invest the monthly employee contributions of $90,000 into a government fund paying 8.7%, compounded monthly.To what value (rounded to the nearest Thousand) will the fund grow in 11 years?

Assume that $100 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 10%.Find the accumulated amount after 4 years.Round to the nearest cent.

If you changed the following decimal into a fraction and reduced it to lowest terms, what would be its denominator? $0 . \overline { 4 }$

Find the sum of the first 4 terms of the geometric sequence whose second and fifth terms are 20 and 1280.

Assume that $50 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 8%.Find the accumulated amount after 6 years.Round to the nearest cent.

A Review of Basic Algebra

Equations and Inequalities

The Rectangular Coordinate System and Graphs of Equations

Functions Functions and Function Notation

Exponential and Logarithmic Functions

Solving Polynomial Equations

Linear Systems

Conic Sections and Quadratic Systems

Filters

Exam 9: Natural Number Functions and Probability

How many lines are determined by 9 points if no 3 points lie on a straight line?

Verify the formula for n=1,2,3n = 1,2,3n=1,2,3 , and 4 . Is it correct? 2+4+6⋯+2n=5n(n+1)22 + 4 + 6 \cdots + 2 n = \frac { 5 n ( n + 1 ) } { 2 }2+4+6⋯+2n=25n(n+1)​

For a 7-day Hawaii vacation, Beth borrowed $2,450 for 6 months at an annual rate of 10.6%, compounded monthly.What did she owe?

Find the periodic payment required to repay $21,860 over 12 years, with monthly payments at a 10% annual rate.Round to the nearest cent.

Find the sum of the first five terms of the sequence with the following general term. 9k09 k ^ { 0 }9k0

To fund Jamie's lottery winnings of $17,200 per month for the next 18 years, the lottery commission needs to make a single deposit now.Assuming 9.7% compounded monthly, what should the deposit be? Round to the nearest cent.

A Super Ball rebounds to approximately 91% of the height from which it is dropped.If the ball is dropped from a height of 8 meters, how high will it rebound after the 17th bounce?

Property values in the suburbs have been appreciating about 11% annually.If this trend continues, what will a $180,000 home be worth in four years? Give the result to the nearest dollar.

The 12th term of an arithmetic sequence is 83, and the first term is -5.Find the common difference.

Bank One offers a passbook account with a 5.5% annual rate, compounded quarterly.Bank Two offers a money market account at 4.5%, compounded monthly.Find the better growth by calculating the Effective rates.What is the greater effective rate?

Insert four arithmetic means between -8 and 17.

Evaluate the expression. 6!6 !6!

The managers of a company's pension fund invest the monthly employee contributions of $90,000 into a government fund paying 8.7%, compounded monthly.To what value (rounded to the nearest Thousand) will the fund grow in 11 years?

Assume that $100 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 10%.Find the accumulated amount after 4 years.Round to the nearest cent.

If you changed the following decimal into a fraction and reduced it to lowest terms, what would be its denominator? 0.4‾0 . \overline { 4 }0.4

Find the sum of the first 4 terms of the geometric sequence whose second and fifth terms are 20 and 1280.

Assume that $50 is deposited at the end of each year in an account in which interest is compounded annually at a rate of 8%.Find the accumulated amount after 6 years.Round to the nearest cent.

A Review of Basic Algebra

Equations and Inequalities

The Rectangular Coordinate System and Graphs of Equations

Functions Functions and Function Notation

Exponential and Logarithmic Functions

Solving Polynomial Equations

Linear Systems

Conic Sections and Quadratic Systems

Filters

Verify the formula for $n = 1,2,3$ , and 4 . Is it correct? $2 + 4 + 6 \cdots + 2 n = \frac { 5 n ( n + 1 ) } { 2 }$

Find the sum of the first five terms of the sequence with the following general term. $9 k ^ { 0 }$

Evaluate the expression. $6 !$

If you changed the following decimal into a fraction and reduced it to lowest terms, what would be its denominator? $0 . \overline { 4 }$