Question 1

Evaluate.
-$\left| \begin{array} { r r r } 5 & 8 & 9 \ 3 & 8 & 5 \ 6 & 5 & 2 \end{array} \right|$

Accepted Answer

A)  $- 150$ 
B)  $- 630$ 
C)  1060 
D)  150 
A)  $- 150$ 
B)  $- 630$ 
C)  1060 
D)  150 A

Question 2

Solve using matrices.
-$$\begin{array} { c } 
x + 6 y = 6 \
2 x - 5 y = - 5
\end{array}$$

Accepted Answer

A)  $( 0,0 )$ 
B)  $( 0,1 )$ 
C)  $( 1,0 )$ 
D)  $( 1,1 )$ 
A)  $( 0,0 )$ 
B)  $( 0,1 )$ 
C)  $( 1,0 )$ 
D)  $( 1,1 )$ B

Question 3

Evaluate.
-$$\left| \begin{array} { l l l } 
3 & 5 & 1 \
3 & 4 & 3 \
2 & 2 & 4
\end{array} \right|$$

Accepted Answer

A)  $- 62$ 
B)  $- 2$ 
C)  170 
D)  2 
A)  $- 62$ 
B)  $- 2$ 
C)  170 
D)  2 B

Question 4

Solve the problem.
-The following is a list of heights, in inches, of six people:
$\begin{array} { l l } \text { Susan } & 66 \ \text { Umar } & 75 \ \text { Mark } & 74 \ \text { Dorota } & 66 \ \text { Mike } & 76 \ \text { Gina } & 64 \end{array}$
What is the median height?

Accepted Answer

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

Question 5

Find the mean.
-33, 43, 19, 39, 16

Accepted Answer

A) 30 
B) 25 
C) 43 
D) 33 
A) 30 
B) 25 
C) 43 
D) 33

Question 6

Solve using matrices.
-$$\begin{array} { r } 
x + 7 y = - 2 \
3 x + y = 34
\end{array}$$

Accepted Answer

A)  $( 3,7 )$ 
B)  $( 12 , - 2 )$ 
C)  $( 7,12 )$ 
D)  $( - 2,3 )$ 
A)  $( 3,7 )$ 
B)  $( 12 , - 2 )$ 
C)  $( 7,12 )$ 
D)  $( - 2,3 )$

Question 7

Solve the problem.
-Jeremy's car gets 294 miles of highway driving on 7 gallons of gasoline. What is the mean number of miles expected per gallon -- that is, what is its gas mileage?

Accepted Answer

A)  43 mpg 
B)  $44 \mathrm { mpg }$ 
C)  $42 \mathrm { mpg }$ 
D)  $41 \mathrm { mpg }$ 
A)  43 mpg 
B)  $44 \mathrm { mpg }$ 
C)  $42 \mathrm { mpg }$ 
D)  $41 \mathrm { mpg }$

Question 8

Solve using matrices.
-$$\begin{array} { c } 
5 x - 2 y = - 1 \
x + 4 y = 35
\end{array}$$

Accepted Answer

A)  $( 2,8 )$ 
B)  $( 2,9 )$ 
C)  $( 3,9 )$ 
D)  $( 3,8 )$ 
A)  $( 2,8 )$ 
B)  $( 2,9 )$ 
C)  $( 3,9 )$ 
D)  $( 3,8 )$

Question 9

Evaluate.
-$$\left| \begin{array} { r r r } 
0 & 0 & 9 \
6 & - 7 & 9 \
0 & 3 & 3
\end{array} \right|$$

Accepted Answer

A)  $- 162$ 
B)  162 
C)  141 
D)  $- 183$ 
A)  $- 162$ 
B)  162 
C)  141 
D)  $- 183$

Question 10

Find any modes that exist.
-5, 9, 97, 3, 2, 8, 69, 1, 4, 16

Accepted Answer

A) No mode exists. 
B) 9 
C) 20.8 
D) 8 
A) No mode exists. 
B) 9 
C) 20.8 
D) 8

Question 11

Solve using matrices.
-$$\begin{array} { l } 
5 x + 6 y = 20 \
2 x + 8 y = 36
\end{array}$$

Accepted Answer

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

Question 12

Solve the problem.
-The five sales people at Southwest Appliances earned commissions last year of $\$ 20,000 , \$ 29,000 , \$ 48,000$, $\$ 17,000$, and $\$ 29,000$. Find the mean commission.

Accepted Answer

A)  $\$ 31,460$ 
B)  $\$ 27,170$ 
C)  $\$ 30,030$ 
D)  $\$ 28,600$ 
A)  $\$ 31,460$ 
B)  $\$ 27,170$ 
C)  $\$ 30,030$ 
D)  $\$ 28,600$

Question 13

Find any modes that exist.
-93, 25, 93, 13, 25, 29, 56, 93

Accepted Answer

A) 93 
B) 25 
C) 93, 25 
D) 53.4 
A) 93 
B) 25 
C) 93, 25 
D) 53.4

Question 14

Find the median.
-13, 57, 275, 215, 378, 470

Accepted Answer

A) 275 
B) 215 
C) 201.5 
D) 245 
A) 275 
B) 215 
C) 201.5 
D) 245

Question 15

Solve using matrices.
-$\begin{array} { l } 
2 x + y = 6 \
9 x + 2 y = 37
\end{array}$

Accepted Answer

A)  $( - 4 , - 5 )$ 
B)  $( 5 , - 5 )$ 
C)  $( 5 , - 4 )$ 
D)  $( - 4,5 )$ 
A)  $( - 4 , - 5 )$ 
B)  $( 5 , - 5 )$ 
C)  $( 5 , - 4 )$ 
D)  $( - 4,5 )$

Question 16

Use synthetic division to divide.
-$$\left( x ^ { 4 } + 625 \right) \div ( x - 5 )$$

Accepted Answer

A)  $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125 + \frac { 625 } { x - 5 }$ 
B)  $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125$ 
C)  $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125 + \frac { 1250 } { x - 5 }$ 
D)  $x ^ { 3 } - 5 x ^ { 2 } + 25 x - 125 + \frac { 1250 } { x - 5 }$ 
A)  $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125 + \frac { 625 } { x - 5 }$ 
B)  $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125$ 
C)  $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125 + \frac { 1250 } { x - 5 }$ 
D)  $x ^ { 3 } - 5 x ^ { 2 } + 25 x - 125 + \frac { 1250 } { x - 5 }$

Question 17

Solve using Cramer's rule.
-$$\begin{array} { l } 
2 x - 2 y = 2 \
2 x + 3 y = 37
\end{array}$$

Accepted Answer

A)  $( - 7,8 )$ 
B)  $( - 8 , - 7 )$ 
C)  $( 7,8 )$ 
D)  $( 8,7 )$ 
A)  $( - 7,8 )$ 
B)  $( - 8 , - 7 )$ 
C)  $( 7,8 )$ 
D)  $( 8,7 )$

Question 18

Evaluate.
-$\left| \begin{array} { r r } 1 & - 1 \ 2 & 2 \end{array} \right|$

Accepted Answer

A)  4 
B)  $- 4$ 
C)  $- 5$ 
D)  0 
A)  4 
B)  $- 4$ 
C)  $- 5$ 
D)  0

Question 19

Solve using matrices.
-$$\begin{array} { l } 
x - 5 y = - 4 \
x + 8 y = - 4
\end{array}$$

Accepted Answer

A)  $( 0 , - 4 )$ 
B)  $( 4,0 )$ 
C)  $( 0,4 )$ 
D)  $( - 4,0 )$ 
A)  $( 0 , - 4 )$ 
B)  $( 4,0 )$ 
C)  $( 0,4 )$ 
D)  $( - 4,0 )$

Question 20

Use synthetic division to divide.
-$$\left( x ^ { 4 } - 625 \right) \div ( x + 5 )$$

Accepted Answer

A)  $x ^ { 3 } + 5 x ^ { 2 } - 25 x + 125$ 
B)  $x ^ { 3 } - 5 x ^ { 2 } + 25 x - 125$ 
C)  $x ^ { 2 } + 5 x + 25$ 
D)  $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125$ 
A)  $x ^ { 3 } + 5 x ^ { 2 } - 25 x + 125$ 
B)  $x ^ { 3 } - 5 x ^ { 2 } + 25 x - 125$ 
C)  $x ^ { 2 } + 5 x + 25$ 
D)  $x ^ { 3 } + 5 x ^ { 2 } + 25 x + 125$

Evaluate. - $\left| \begin{array} { r r r } 5 & 8 & 9 \\ 3 & 8 & 5 \\ 6 & 5 & 2 \end{array} \right|$

Solve using matrices. - x+6y=6 2x-5y=-5

Evaluate. - $\left| \begin{array} { l l l } 3 & 5 & 1 \\3 & 4 & 3 \\2 & 2 & 4\end{array} \right|$

Solve the problem. -The following is a list of heights, in inches, of six people: Susan 66 Umar 75 Mark 74 Dorota 66 Mike 76 Gina 64 What is the median height?

Find the mean. -33, 43, 19, 39, 16

Solve using matrices. - x+7y=-2 3x+y=34

Solve the problem. -Jeremy's car gets 294 miles of highway driving on 7 gallons of gasoline. What is the mean number of miles expected per gallon -- that is, what is its gas mileage?

Solve using matrices. - 5x-2y=-1 x+4y=35

Evaluate. - $\left| \begin{array} { r r r } 0 & 0 & 9 \\6 & - 7 & 9 \\0 & 3 & 3\end{array} \right|$

Find any modes that exist. -5, 9, 97, 3, 2, 8, 69, 1, 4, 16

Solve using matrices. - 5x+6y=20 2x+8y=36

Solve the problem. -The five sales people at Southwest Appliances earned commissions last year of $\$ 20,000 , \$ 29,000 , \$ 48,000$ , $\$ 17,000$ , and $\$ 29,000$ . Find the mean commission.

Find any modes that exist. -93, 25, 93, 13, 25, 29, 56, 93

Find the median. -13, 57, 275, 215, 378, 470

Solve using matrices. - 2x+y=6 9x+2y=37

Use synthetic division to divide. - $\left( x ^ { 4 } + 625 \right) \div ( x - 5 )$

Solve using Cramer's rule. - 2x-2y=2 2x+3y=37

Evaluate. - $\left| \begin{array} { r r } 1 & - 1 \\ 2 & 2 \end{array} \right|$

Solve using matrices. - x-5y=-4 x+8y=-4

Use synthetic division to divide. - $\left( x ^ { 4 } - 625 \right) \div ( x + 5 )$

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

Radical Expressions, Equations, and Functions

Quadratic Equations and Functions

Exponential Functions and Logarithmic Functions

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

Evaluate. - ∣589385652∣\left| \begin{array} { r r r } 5 & 8 & 9 \\ 3 & 8 & 5 \\ 6 & 5 & 2 \end{array} \right|​536​885​952​​