Question 1

Use a graphing calculator to solve the system. Express solutions with approximations to the nearest thousandth.
-$$\begin{array} { r } 
1.2 x + \sqrt { 7 } y = - 8 \
- 4.5 x - \sqrt { 5 } y = 10
\end{array}$$

Accepted Answer

A)  $\{ ( 0.584 , - 3.290 ) \}$ 
B)  $\varnothing$ 
C)  $\{ ( - 0.929 , - 2.602 ) \}$ 
D)  $\{ ( 4.808 , - 5.205 ) \}$ 
A)  $\{ ( 0.584 , - 3.290 ) \}$ 
B)  $\varnothing$ 
C)  $\{ ( - 0.929 , - 2.602 ) \}$ 
D)  $\{ ( 4.808 , - 5.205 ) \}$

Question 2

Find the indicated matrix.
-Let $\mathrm { A } = \left[ \begin{array} { l l } - 4 & 2 \end{array} \right]$ and $\mathrm { B } = \left[ \begin{array} { l l } 1 & 0 \end{array} \right]$. Find $3 \mathrm {~A} + 4 \mathrm {~B}$.

Accepted Answer

A)  $\left[ \begin{array} { l l } - 7 & 4 \end{array} \right]$ 
B)  $\left[ \begin{array} { l l } - 12 & 4 \end{array} \right]$ 
C)  $\left[ \begin{array} { l l } - 8 & 6 \end{array} \right]$ 
D)  $\left[ \begin{array} { l l } - 1 & 2 \end{array} \right]$ 
A)  $\left[ \begin{array} { l l } - 7 & 4 \end{array} \right]$ 
B)  $\left[ \begin{array} { l l } - 12 & 4 \end{array} \right]$ 
C)  $\left[ \begin{array} { l l } - 8 & 6 \end{array} \right]$ 
D)  $\left[ \begin{array} { l l } - 1 & 2 \end{array} \right]$

Question 3

Solve the problem.
-A $64,000 trust is to be invested in bonds paying 6%, CDs paying 5%, and mortgages paying 10%. The bond and CD investment together must equal the mortgage investment. To earn a $4910
Annual income from the investments, how much should the bank invest in bonds?

Accepted Answer

A)  $21,000 
B)  $32,000 
C)  $11,000 
D)  $9,000 
A)  $21,000 
B)  $32,000 
C)  $11,000 
D)  $9,000

Question 4

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last
variable be the arbitrary variable.
-$$\begin{array} { l } 
6 x - y - 6 z = - 16 \
9 x + 9 y + 3 z = 114 \
- 3 x - 5 y + z = - 30
\end{array}$$

Accepted Answer

A)  $\{ ( 6,8,4 ) \}$ 
B)  $\{ ( 6,4,8 ) \}$ 
C)  $\varnothing$ 
D)  $\{ ( - 6,4,12 ) \}$ 
A)  $\{ ( 6,8,4 ) \}$ 
B)  $\{ ( 6,4,8 ) \}$ 
C)  $\varnothing$ 
D)  $\{ ( - 6,4,12 ) \}$

Question 5

The following graph shows the populations of the metropolitan areas of City X and City Y over six years.  
-If equations of the form y = f(t) were determined that modeled either of the two graphs, then the variable t would represent _______ and the variable y would represent _______.

Accepted Answer

A)  population (in millions); year 
B)  City Y; City X 
C)  City X; City Y 
D)  year; population (in millions) 
A)  population (in millions); year 
B)  City Y; City X 
C)  City X; City Y 
D)  year; population (in millions)

Use a graphing calculator to solve the system. Express solutions with approximations to the nearest thousandth. - 1.2x+y=-8 -4.5x-y=10

Find the indicated matrix. -Let $\mathrm { A } = \left[ \begin{array} { l l } - 4 & 2 \end{array} \right]$ and $\mathrm { B } = \left[ \begin{array} { l l } 1 & 0 \end{array} \right]$ . Find $3 \mathrm {~A} + 4 \mathrm {~B}$ .

Solve the problem. -A $64,000 trust is to be invested in bonds paying 6%, CDs paying 5%, and mortgages paying 10%. The bond and CD investment together must equal the mortgage investment. To earn a $4910 Annual income from the investments, how much should the bank invest in bonds?

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last variable be the arbitrary variable. - 6x-y-6z=-16 9x+9y+3z=114 -3x-5y+z=-30

The following graph shows the populations of the metropolitan areas of City X and City Y over six years. -If equations of the form y = f(t) were determined that modeled either of the two graphs, then the variable t would represent _ and the variable y would represent _.

Equations and Inequalities

Graphs and Functions

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Analytic Geometry

Further Topics in Algebra

Review of Basic Concepts

Filters

Exam 9: Systems and Matrices