Question 1

Evaluate.
-$\left| \begin{array} { l l l } 3 & 4 & 6 \ 5 & 3 & 5 \ 1 & 4 & 6 \end{array} \right|$

Accepted Answer

A)  392 
B)  $- 44$ 
C)  $- 4$ 
D)  4 
A)  392 
B)  $- 44$ 
C)  $- 4$ 
D)  4

Question 2

Solve the problem.
-Some players are thinking about quitting the company softball team. Their batting averages are $0.223,0.281$, $0.223,0.331,0.206,0.339$, and $0.271$, respectively. What is the mean batting average of these players? Round your answer to the nearest thousandth.

Accepted Answer

A)  $0.281$ 
B)  $0.312$ 
C)  $0.244$ 
D)  $0.268$ 
A)  $0.281$ 
B)  $0.312$ 
C)  $0.244$ 
D)  $0.268$

Question 3

Use synthetic division to divide.
-$$\left( x ^ { 3 } - 2 x ^ { 2 } + 2 x - 7 \right) \div ( x + 4 )$$

Accepted Answer

A)  $x ^ { 2 } - 6 x + 26 + \frac { - 111 } { x + 4 }$ 
B)  $x ^ { 2 } - 6 x + 26 + \frac { - 111 } { \left( x ^ { 3 } - 2 x ^ { 2 } + 2 x - 7 \right) }$ 
C)  $x ^ { 2 } - 6 x + 10 + \frac { - 47 } { x + 4 }$ 
D)  $x ^ { 3 } - 2 x ^ { 2 } + 26 x - 111$ 
A)  $x ^ { 2 } - 6 x + 26 + \frac { - 111 } { x + 4 }$ 
B)  $x ^ { 2 } - 6 x + 26 + \frac { - 111 } { \left( x ^ { 3 } - 2 x ^ { 2 } + 2 x - 7 \right) }$ 
C)  $x ^ { 2 } - 6 x + 10 + \frac { - 47 } { x + 4 }$ 
D)  $x ^ { 3 } - 2 x ^ { 2 } + 26 x - 111$

Question 4

Find the median.
-2.7, 4.7, 8.5, 3.5

Accepted Answer

A) 3.5 
B) 4.7 
C) 4.1 
D) 8.5 
A) 3.5 
B) 4.7 
C) 4.1 
D) 8.5

Question 5

Solve using Cramer's rule.
-$$\begin{array} { l } 
3 x - 7 y - 5 z = - 58 \
2 x + 6 y - 7 z = 25 \
- 4 x - 6 y - 2 z = - 56
\end{array}$$

Accepted Answer

A)  $( 3,5,3 )$ 
B)  $( 2 , - 7 , - 3 )$ 
C)  $( 7,3,7 )$ 
D)  $( 2,7,3 )$ 
A)  $( 3,5,3 )$ 
B)  $( 2 , - 7 , - 3 )$ 
C)  $( 7,3,7 )$ 
D)  $( 2,7,3 )$

Question 6

Solve the problem.
-The following is a list of heights, in inches, of six people:
$\begin{array} { l l } \text { Susan } & 66 \ \text { Umar } & 74 \ \text { Mark } & 75 \ \text { Dorota } & 66 \ \text { Mike } & 76 \ \text { Gina } & 65 \end{array}$
What is the mode?

Accepted Answer

A)  70 inches 
B)  $70.5$ inches 
C)  66 inches 
D)  74 inches 
A)  70 inches 
B)  $70.5$ inches 
C)  66 inches 
D)  74 inches

Question 7

Find any modes that exist.
-106, 150, 156, 106, 188, 199, 162

Accepted Answer

A) 85 
B) 150 
C) 106 
D) 156 
A) 85 
B) 150 
C) 106 
D) 156

Question 8

Use synthetic division to divide.
-$$\left( 8 r ^ { 3 } - 60 r ^ { 2 } - 27 r - 40 \right) \div ( r - 8 )$$

Accepted Answer

A)  $r ^ { 2 } + 5 r + 4$ 
B)  $8 r ^ { 2 } + 4 r + \frac { 5 } { r - 8 }$ 
C)  $8 r ^ { 2 } + 4 r + 5$ 
D)  $8 r ^ { 2 } - 4 r - 5$ 
A)  $r ^ { 2 } + 5 r + 4$ 
B)  $8 r ^ { 2 } + 4 r + \frac { 5 } { r - 8 }$ 
C)  $8 r ^ { 2 } + 4 r + 5$ 
D)  $8 r ^ { 2 } - 4 r - 5$

Question 9

Use synthetic division to divide.
-$$\left( y ^ { 9 } + 1 \right) \div ( y + 1 )$$

Accepted Answer

A)  $y ^ { 8 } + y ^ { 7 } + y ^ { 6 } + y ^ { 5 } + y ^ { 4 } + y ^ { 3 } + y ^ { 2 } + y + 1 + \frac { 2 } { y + 1 }$ 
B)  $y ^ { 8 } + y ^ { 7 } + y ^ { 6 } + y ^ { 5 } + y ^ { 4 } + y ^ { 3 } + y ^ { 2 } + y + 1$ 
C)  $y ^ { 8 } - y ^ { 7 } + y ^ { 6 } - y ^ { 5 } + y ^ { 4 } - y ^ { 3 } + y ^ { 2 } - y + 1$ 
D)  $y ^ { 8 } - y ^ { 7 } + y ^ { 6 } - y ^ { 5 } + y ^ { 4 } - y ^ { 3 } + y ^ { 2 } - y + 1 + \frac { - 2 } { y + 1 }$ 
A)  $y ^ { 8 } + y ^ { 7 } + y ^ { 6 } + y ^ { 5 } + y ^ { 4 } + y ^ { 3 } + y ^ { 2 } + y + 1 + \frac { 2 } { y + 1 }$ 
B)  $y ^ { 8 } + y ^ { 7 } + y ^ { 6 } + y ^ { 5 } + y ^ { 4 } + y ^ { 3 } + y ^ { 2 } + y + 1$ 
C)  $y ^ { 8 } - y ^ { 7 } + y ^ { 6 } - y ^ { 5 } + y ^ { 4 } - y ^ { 3 } + y ^ { 2 } - y + 1$ 
D)  $y ^ { 8 } - y ^ { 7 } + y ^ { 6 } - y ^ { 5 } + y ^ { 4 } - y ^ { 3 } + y ^ { 2 } - y + 1 + \frac { - 2 } { y + 1 }$

Question 10

Solve using Cramer's rule.
-$\begin{array} { l } 
2 x + 2 y = 22 \
2 x - 2 y = 2
\end{array}$

Accepted Answer

A)  $( 5,6 )$ 
B)  $( - 5,6 )$ 
C)  $( 6,5 )$ 
D)  $( - 6 , - 5 )$ 
A)  $( 5,6 )$ 
B)  $( - 5,6 )$ 
C)  $( 6,5 )$ 
D)  $( - 6 , - 5 )$

Question 11

Evaluate.
-$\left| \begin{array} { l l } 6 & 8 \ 9 & 5 \end{array} \right|$

Accepted Answer

A)  3 
B)  102 
C)  $- 42$ 
D)  42 
A)  3 
B)  102 
C)  $- 42$ 
D)  42

Question 12

Find the median.
-67, 66, 222, 150, 251, 241, 232

Accepted Answer

A) 222 
B) 150 
C) 176 
D) 232 
A) 222 
B) 150 
C) 176 
D) 232

Question 13

Find any modes that exist.
-$$\$ 83 , \$ 41 , \$ 32 , \$ 41 , \$ 29 , \$ 83$$

Accepted Answer

A)  No mode exists. 
B)  $\$ 83 , \$ 41$ 
C)  $\$ 83$ 
D)  $\$ 41$ 
A)  No mode exists. 
B)  $\$ 83 , \$ 41$ 
C)  $\$ 83$ 
D)  $\$ 41$

Question 14

Find any modes that exist.
-7.2, 7.4, 5.6, 7.4, 5.4

Accepted Answer

A) 7.2 
B) 7.4 
C) 5.5 
D) 6.6 
A) 7.2 
B) 7.4 
C) 5.5 
D) 6.6

Question 15

Use synthetic division to divide.
-$$\left( 7 x ^ { 2 } + 12 x - 27 \right) \div ( x + 3 )$$

Accepted Answer

A)  $x - 9$ 
B)  $7 x - 9$ 
C)  $- 7 x + 9$ 
D)  $- 9 x + 3$ 
A)  $x - 9$ 
B)  $7 x - 9$ 
C)  $- 7 x + 9$ 
D)  $- 9 x + 3$

Question 16

Find the mean.
-$\$ 22.75 , \$ 51.00 , \$ 39.15 , \$ 44.35 , \$ 22.75$

Accepted Answer

A)  $\$ 39.15$ 
B)  $\$ 30.00$ 
C)  $\$ 22.75$ 
D)  $\$ 36.00$ 
A)  $\$ 39.15$ 
B)  $\$ 30.00$ 
C)  $\$ 22.75$ 
D)  $\$ 36.00$

Question 17

Evaluate.
-$\left| \begin{array} { r r r } 7 & 0 & 0 \ 9 & - 9 & 0 \ - 9 & 3 & 5 \end{array} \right|$

Accepted Answer

A)  $- 342$ 
B)  288 
C)  315 
D)  $- 315$ 
A)  $- 342$ 
B)  288 
C)  315 
D)  $- 315$

Evaluate. - $\left| \begin{array} { l l l } 3 & 4 & 6 \\ 5 & 3 & 5 \\ 1 & 4 & 6 \end{array} \right|$

Solve the problem. -Some players are thinking about quitting the company softball team. Their batting averages are $0.223,0.281$ , $0.223,0.331,0.206,0.339$ , and $0.271$ , respectively. What is the mean batting average of these players? Round your answer to the nearest thousandth.

Use synthetic division to divide. - $\left( x ^ { 3 } - 2 x ^ { 2 } + 2 x - 7 \right) \div ( x + 4 )$

Find the median. -2.7, 4.7, 8.5, 3.5

Solve using Cramer's rule. - 3x-7y-5z=-58 2x+6y-7z=25 -4x-6y-2z=-56

Solve the problem. -The following is a list of heights, in inches, of six people: Susan 66 Umar 74 Mark 75 Dorota 66 Mike 76 Gina 65 What is the mode?

Find any modes that exist. -106, 150, 156, 106, 188, 199, 162

Use synthetic division to divide. - $\left( 8 r ^ { 3 } - 60 r ^ { 2 } - 27 r - 40 \right) \div ( r - 8 )$

Use synthetic division to divide. - $\left( y ^ { 9 } + 1 \right) \div ( y + 1 )$

Solve using Cramer's rule. - 2x+2y=22 2x-2y=2

Evaluate. - $\left| \begin{array} { l l } 6 & 8 \\ 9 & 5 \end{array} \right|$

Find the median. -67, 66, 222, 150, 251, 241, 232

Find any modes that exist. - $\$ 83 , \$ 41 , \$ 32 , \$ 41 , \$ 29 , \$ 83$

Find any modes that exist. -7.2, 7.4, 5.6, 7.4, 5.4

Use synthetic division to divide. - $\left( 7 x ^ { 2 } + 12 x - 27 \right) \div ( x + 3 )$

Find the mean. - $\$ 22.75 , \$ 51.00 , \$ 39.15 , \$ 44.35 , \$ 22.75$

Evaluate. - $\left| \begin{array} { r r r } 7 & 0 & 0 \\ 9 & - 9 & 0 \\ - 9 & 3 & 5 \end{array} \right|$

Introduction to Real Numbers and Algebraic Expressions

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Graphs, Functions, and Applications

Systems of Equations

More on Inequalities

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Exam 13: Finding Measures of Central Tendency for Prices and Heights

Evaluate. - ∣346535146∣\left| \begin{array} { l l l } 3 & 4 & 6 \\ 5 & 3 & 5 \\ 1 & 4 & 6 \end{array} \right|​351​434​656​​

Use synthetic division to divide. - (x3−2x2+2x−7)÷(x+4)\left( x ^ { 3 } - 2 x ^ { 2 } + 2 x - 7 \right) \div ( x + 4 )(x3−2x2+2x−7)÷(x+4)