Question 1

Solve the system of equations by using substitution.
-$$\left\{ \begin{array} { c } 
x + 7 y = 7 \
3 x - 8 y = - 8
\end{array} \right.$$

Accepted Answer

A)  $x = 1 , y = 0$ 
B)  $x = 0 , y = 0$ 
C)  $x = 0 , y = 1$ 
D)  $x = 1 , y = 1$ 
A)  $x = 1 , y = 0$ 
B)  $x = 0 , y = 0$ 
C)  $x = 0 , y = 1$ 
D)  $x = 1 , y = 1$

Question 2

Graph the system of inequalities.
-$\left\{\begin{array}{r}
2 x+3 y \leq 6 \
x-y \leq 3
\end{array}\right.$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 3

Choose the one alternative that best completes the statement or answers the question.
-The diagonal of the floor of a rectangular office cubicle is 2 ft longer than the length of the cubicle and 5 ft longer than twice the width. Find the dimensions of the cubicle. Round to the nearest tenth, if necessary.

Accepted Answer

A)  width = 3.9 ft, length = 9.7 ft 
B)  width = 9.7 ft, length = 22.4 ft 
C)  width = 2 ft, length = 9 ft 
D)  width = 4 ft, length = 11 ft 
A)  width = 3.9 ft, length = 9.7 ft 
B)  width = 9.7 ft, length = 22.4 ft 
C)  width = 2 ft, length = 9 ft 
D)  width = 4 ft, length = 11 ft

Question 4

Use the properties of determinants to find the value of the second determinant, given the value of the first.
-Given $\left| \begin{array} { l l l } \mathrm { s } & \mathrm { t } & \mathrm { u } \ \mathrm { v } & \mathrm { w } & \mathrm { x } \ 4 & 2 & 8 \end{array} \right| = 3$, find the value of $\left| \begin{array} { c c c } 32 - \mathrm { s } & 16 - \mathrm { t } & 64 - \mathrm { u } \ \mathrm { v } & \mathrm { w } & \mathrm { x } \ 4 & 2 & 8 \end{array} \right|$

Accepted Answer

A)  $- 24$ 
B)  $- 3$ 
C)  3 
D)  24 
A)  $- 24$ 
B)  $- 3$ 
C)  3 
D)  24

Question 5

Tell whether the given rational expression is proper or improper.
-$$\frac { x ^ { 3 } - 9 x + 20 } { x ^ { 2 } - 16 x + 64 }$$

Accepted Answer

A)  Improper 
B)  Proper 
A)  Improper 
B)  Proper

Question 6

Write the system of equations associated with the augmented matrix. Do not solve.
-$$\left[ \begin{array} { r r r | r } 
8 & 8 & - 8 & 7 \
6 & 6 & 0 & 9 \
3 & 0 & - 4 & - 6
\end{array} \right]$$

Accepted Answer

A) 
$$\left\{ \begin{array} { l } 
8 x + 8 y - 8 z = 7 \
6 x + 6 y = 9 \
3 x - 4 y = - 6
\end{array} \right.$$ 
B) 
$$\left\{ \begin{aligned}
8 x + 8 y - 8 z & = 7 \
6 x + 6 z & = 9 \
3 x - 4 y & = - 6
\end{aligned} \right.$$ 
C) 
$$\left\{ \begin{array} { l } 
8 x + 8 y - 8 z = 7 \
6 x + 6 y + 9 z = 0 \
3 x - 4 y - 6 z = 0
\end{array} \right.$$ 
D) 
$$\left\{ \begin{array} { l } 
8 x + 8 y - 8 z = 7 \
6 x + 6 y = 9 \
3 x - 4 z = - 6
\end{array} \right.$$ 
A) 
$$\left\{ \begin{array} { l } 
8 x + 8 y - 8 z = 7 \
6 x + 6 y = 9 \
3 x - 4 y = - 6
\end{array} \right.$$ 
B) 
$$\left\{ \begin{aligned}
8 x + 8 y - 8 z & = 7 \
6 x + 6 z & = 9 \
3 x - 4 y & = - 6
\end{aligned} \right.$$ 
C) 
$$\left\{ \begin{array} { l } 
8 x + 8 y - 8 z = 7 \
6 x + 6 y + 9 z = 0 \
3 x - 4 y - 6 z = 0
\end{array} \right.$$ 
D) 
$$\left\{ \begin{array} { l } 
8 x + 8 y - 8 z = 7 \
6 x + 6 y = 9 \
3 x - 4 z = - 6
\end{array} \right.$$

Question 7

Solve the system.
-$$\left\{ \begin{array} { l } 
7 x - 2 y = 5 \
28 x - 8 y = 15
\end{array} \right.$$

Accepted Answer

A)  inconsistent (no solution) 
B)  $( 6 , - 9 )$ 
C)  $( 2,5 )$ 
D)  consistent (many solutions) 
A)  inconsistent (no solution) 
B)  $( 6 , - 9 )$ 
C)  $( 2,5 )$ 
D)  consistent (many solutions)

Question 8

2x + 3y ≥6
-$y \geq x ^ { 2 }$
$x + y > 2$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 9

Write the system of equations associated with the augmented matrix. Do not solve.
-$$\left[ \begin{array} { r r r | r } 
3 & 6 & 2 & - 2 \
6 & 0 & 7 & 4 \
2 & 7 & 0 & 2
\end{array} \right]$$

Accepted Answer

A)  $\left\{ \begin{array} { r } 3 x - 6 y + 2 z = - 2 \ 6 x + 7 z = - 4 \ 2 x + 7 y = - 2 \end{array} \right.$ 
B)  $\left\{ \begin{array} { l } 3 x + 6 y + 2 z = - 2 \ 6 x + 7 z = 4 \ 2 x + 7 y = 2 \end{array} \right.$ 
C)  $\left\{ \begin{array} { l } 3 x + 6 y + 2 z = - 2 \ 6 x + 7 z = 4 \ 2 x + 7 z = 2 \end{array} \right.$ 
A)  $\left\{ \begin{array} { r } 3 x - 6 y + 2 z = - 2 \ 6 x + 7 z = - 4 \ 2 x + 7 y = - 2 \end{array} \right.$ 
B)  $\left\{ \begin{array} { l } 3 x + 6 y + 2 z = - 2 \ 6 x + 7 z = 4 \ 2 x + 7 y = 2 \end{array} \right.$ 
C)  $\left\{ \begin{array} { l } 3 x + 6 y + 2 z = - 2 \ 6 x + 7 z = 4 \ 2 x + 7 z = 2 \end{array} \right.$

Question 10

Find the inverse of the matrix.
-$$\left[ \begin{array} { r r } 
1 & 1 \
3 & - 1
\end{array} \right]$$

Accepted Answer

A)  $\left[ \begin{array} { l l } \frac { 3 } { 4 } & - \frac { 1 } { 4 } \ \frac { 1 } { 4 } & \frac { 1 } { 4 } \end{array} \right]$ 
B)  $\left[ \begin{array} { r } - \frac { 1 } { 4 } \frac { 1 } { 4 } \ \frac { 3 } { 4 } \frac { 1 } { 4 } \end{array} \right]$ 
C)  $\left[ \begin{array} { c c } \frac { 1 } { 4 } & \frac { 1 } { 4 } \ \frac { 3 } { 4 } & - \frac { 1 } { 4 } \end{array} \right]$ 
D)  $\left[ \begin{array} { r } \frac { 1 } { 4 } - \frac { 1 } { 4 } \ - \frac { 3 } { 4 } - \frac { 1 } { 4 } \end{array} \right]$ 
A)  $\left[ \begin{array} { l l } \frac { 3 } { 4 } & - \frac { 1 } { 4 } \ \frac { 1 } { 4 } & \frac { 1 } { 4 } \end{array} \right]$ 
B)  $\left[ \begin{array} { r } - \frac { 1 } { 4 } \frac { 1 } { 4 } \ \frac { 3 } { 4 } \frac { 1 } { 4 } \end{array} \right]$ 
C)  $\left[ \begin{array} { c c } \frac { 1 } { 4 } & \frac { 1 } { 4 } \ \frac { 3 } { 4 } & - \frac { 1 } { 4 } \end{array} \right]$ 
D)  $\left[ \begin{array} { r } \frac { 1 } { 4 } - \frac { 1 } { 4 } \ - \frac { 3 } { 4 } - \frac { 1 } { 4 } \end{array} \right]$

Question 11

Solve the system of equations using substitution.
-$$\left\{ \begin{array} { l } 
x ^ { 2 } + y ^ { 2 } = 169 \
x + y = 17
\end{array} \right.$$

Accepted Answer

A)  $x = 12 , y = - 5 ; x = 5 , y = - 12$ 
B)  $x = - 12 , y = 5 ; x = - 5 , y = 12$ 
C)  $x = 12 , y = 5 ; x = 5 , y = 12$ 
D)  $x = - 12 , y = - 5 ; x = - 5 , y = - 12$ 
A)  $x = 12 , y = - 5 ; x = 5 , y = - 12$ 
B)  $x = - 12 , y = 5 ; x = - 5 , y = 12$ 
C)  $x = 12 , y = 5 ; x = 5 , y = 12$ 
D)  $x = - 12 , y = - 5 ; x = - 5 , y = - 12$

Question 12

Choose the one alternative that best completes the statement or answers the question.
-A company has sales (measured in millions of dollars) of 50,60 , and 75 during the first three consecutive years. Find a quadratic function that fits these data, and use the result to predict the sales during the fourth year.
Assume that the quadratic function is of the form $y = a x ^ { 2 } + b x + c$

Accepted Answer

A)  $y = \frac { 5 } { 2 } x ^ { 2 } + \frac { 5 } { 2 } x + 45$; sales during the fourth year $= \$ 95$ million 
B)  $y = - 5 x ^ { 2 } + 40 x + 15$; sales during the fourth year $= \$ 95$ million 
C)  $y = 5 x ^ { 2 } + 5 x + 40$; sales during the fourth year $= \$ 180$ million 
D)  $y = \frac { 15 } { 2 } x ^ { 2 } - \frac { 25 } { 2 } x + \frac { 325 } { 4 } ;$ sales during the fourth year $= \$ 151.25$ million 
A)  $y = \frac { 5 } { 2 } x ^ { 2 } + \frac { 5 } { 2 } x + 45$; sales during the fourth year $= \$ 95$ million 
B)  $y = - 5 x ^ { 2 } + 40 x + 15$; sales during the fourth year $= \$ 95$ million 
C)  $y = 5 x ^ { 2 } + 5 x + 40$; sales during the fourth year $= \$ 180$ million 
D)  $y = \frac { 15 } { 2 } x ^ { 2 } - \frac { 25 } { 2 } x + \frac { 325 } { 4 } ;$ sales during the fourth year $= \$ 151.25$ million

Question 13

Solve the problem.
-The sum of the squares of two numbers is 20. The sum of the two numbers is -6. Find the two numbers.

Accepted Answer

A)  -4 and -2 
B)  -2 and 4; or -4 and 2 
C)  2 and 4 
D)  -4 and -2; or 2 and 4 
A)  -4 and -2 
B)  -2 and 4; or -4 and 2 
C)  2 and 4 
D)  -4 and -2; or 2 and 4

Question 14

Perform the indicated matrix operations.
-Let $B = \left[ \begin{array} { l l l l } - 1 & 1 & 6 & - 3 \end{array} \right]$. Find $- 4 B$.

Accepted Answer

A)  $\left[ \begin{array} { l l l l } 4 & 1 & 6 & - 3 \end{array} \right]$ 
B)  $\left[ \begin{array} { l l l l } - 4 & 4 & 24 & - 12 \end{array} \right]$ 
C)  $\left[ \begin{array} { l l l l } 4 & - 4 & - 24 & 12 \end{array} \right]$ 
D)  $\left[ \begin{array} { l l l l } - 3 & - 1 & 4 & - 5 \end{array} \right]$ 
A)  $\left[ \begin{array} { l l l l } 4 & 1 & 6 & - 3 \end{array} \right]$ 
B)  $\left[ \begin{array} { l l l l } - 4 & 4 & 24 & - 12 \end{array} \right]$ 
C)  $\left[ \begin{array} { l l l l } 4 & - 4 & - 24 & 12 \end{array} \right]$ 
D)  $\left[ \begin{array} { l l l l } - 3 & - 1 & 4 & - 5 \end{array} \right]$

Question 15

Solve the system of equations.
-$$\left\{ \begin{array} { l } 
x - y + z = 8 \
x + y + z = 6 \
x + y - z = - 12
\end{array} \right.$$

Accepted Answer

A)  $x = 2 , y = - 1 , z = - 9$ 
B)  $x = - 2 , y = - 1 , z = - 9$ 
C)  $x = - 2 , y = - 1 , z = 9$ 
D)  $x = 2 , y = - 1 , z = 9$ 
A)  $x = 2 , y = - 1 , z = - 9$ 
B)  $x = - 2 , y = - 1 , z = - 9$ 
C)  $x = - 2 , y = - 1 , z = 9$ 
D)  $x = 2 , y = - 1 , z = 9$

Question 16

Find the inverse of the matrix.
-$$\left[ \begin{array} { c r } 
- 4 & - 4 \
6 & 6
\end{array} \right]$$

Accepted Answer

A)  $\left[ \begin{array} { l } - \frac { 3 } { 10 } \frac { 1 } { 5 } \ - \frac { 3 } { 10 } \frac { 1 } { 5 } \end{array} \right]$ 
B)  $\left[ \begin{array} { r r } - \frac { 3 } { 10 } & - \frac { 1 } { 5 } \ \frac { 3 } { 10 } & \frac { 1 } { 5 } \end{array} \right]$ 
C)  No inverse 
D)  $\left[ \begin{array} { c c } \frac { 3 } { 10 } & \frac { 1 } { 5 } \ - \frac { 3 } { 10 } & - \frac { 1 } { 5 } \end{array} \right]$ 
A)  $\left[ \begin{array} { l } - \frac { 3 } { 10 } \frac { 1 } { 5 } \ - \frac { 3 } { 10 } \frac { 1 } { 5 } \end{array} \right]$ 
B)  $\left[ \begin{array} { r r } - \frac { 3 } { 10 } & - \frac { 1 } { 5 } \ \frac { 3 } { 10 } & \frac { 1 } { 5 } \end{array} \right]$ 
C)  No inverse 
D)  $\left[ \begin{array} { c c } \frac { 3 } { 10 } & \frac { 1 } { 5 } \ - \frac { 3 } { 10 } & - \frac { 1 } { 5 } \end{array} \right]$

Question 17

Choose the one alternative that best completes the statement or answers the question.
-A rectangular piece of tin has an area of 703 square inches. A square of 4 inches is cut from each corner, and an open box is made by turning up the ends and sides. If the volume of the box is 1,276 cubic inches, what were the
Original dimensions of the piece of tin?

Accepted Answer

A)  15 in. by 33 in. 
B)  19 in. by 37 in. 
C)  11 in. by 25 in. 
D)  23 in. by 41 in. 
A)  15 in. by 33 in. 
B)  19 in. by 37 in. 
C)  11 in. by 25 in. 
D)  23 in. by 41 in.

Question 18

Graph the inequality.
-$x-y>-5$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 19

Solve the system of equations using substitution.
-$$\left\{ \begin{array} { c } 
x y = 72 \
x + y = 17
\end{array} \right.$$

Accepted Answer

A)  $x = 9 , y = 8 ; x = 8 , y = 9$ 
B)  $x = 9 , y = - 8 ; x = 8 , y = - 9$ 
C)  $x = - 9 , y = - 8 ; x = - 8 , y = - 9$ 
D)  $x = - 9 , y = 8 ; x = - 8 , y = 9$ 
A)  $x = 9 , y = 8 ; x = 8 , y = 9$ 
B)  $x = 9 , y = - 8 ; x = 8 , y = - 9$ 
C)  $x = - 9 , y = - 8 ; x = - 8 , y = - 9$ 
D)  $x = - 9 , y = 8 ; x = - 8 , y = 9$

Question 20

Solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent.
-$$\begin{array} { l } 
x - y + 2 z + w = 2 \
y + z = 2 \
z - w = 3
\end{array}$$

Accepted Answer

A)  $\varnothing$ 
B)  $\{ ( - 9 , - 2,4,1 ) \}$ 
C)  $\{ ( - 5 - 4 w , - 1 - w , 3 + w , w ) \}$ 
D)  $\{ ( - 5 , - 1,3 , \mathrm { w } ) \}$ 
A)  $\varnothing$ 
B)  $\{ ( - 9 , - 2,4,1 ) \}$ 
C)  $\{ ( - 5 - 4 w , - 1 - w , 3 + w , w ) \}$ 
D)  $\{ ( - 5 , - 1,3 , \mathrm { w } ) \}$

Solve the system of equations by using substitution. - $\left\{ \begin{array} { c } x + 7 y = 7 \\3 x - 8 y = - 8\end{array} \right.$

Graph the system of inequalities. - $\left\{\begin{array}{r}2 x+3 y \leq 6 \\x-y \leq 3\end{array}\right.$ $Graph the system of inequalities. - \left\{\begin{array}{r} 2 x+3 y \leq 6 \\ x-y \leq 3 \end{array}\right.$

Tell whether the given rational expression is proper or improper. - $\frac { x ^ { 3 } - 9 x + 20 } { x ^ { 2 } - 16 x + 64 }$

Write the system of equations associated with the augmented matrix. Do not solve. - $\left[ \begin{array} { r r r | r } 8 & 8 & - 8 & 7 \\6 & 6 & 0 & 9 \\3 & 0 & - 4 & - 6\end{array} \right]$

Solve the system. - $\left\{ \begin{array} { l } 7 x - 2 y = 5 \\28 x - 8 y = 15\end{array} \right.$

2x + 3y ≥6 - $y \geq x ^ { 2 }$ $x + y > 2$ $2x + 3y ≥6 - y \geq x ^ { 2 } x + y > 2$

Write the system of equations associated with the augmented matrix. Do not solve. - $\left[ \begin{array} { r r r | r } 3 & 6 & 2 & - 2 \\6 & 0 & 7 & 4 \\2 & 7 & 0 & 2\end{array} \right]$

Find the inverse of the matrix. - $\left[ \begin{array} { r r } 1 & 1 \\3 & - 1\end{array} \right]$

Solve the system of equations using substitution. - $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 169 \\x + y = 17\end{array} \right.$

Solve the problem. -The sum of the squares of two numbers is 20. The sum of the two numbers is -6. Find the two numbers.

Perform the indicated matrix operations. -Let $B = \left[ \begin{array} { l l l l } - 1 & 1 & 6 & - 3 \end{array} \right]$ . Find $- 4 B$ .

Solve the system of equations. - $\left\{ \begin{array} { l } x - y + z = 8 \\x + y + z = 6 \\x + y - z = - 12\end{array} \right.$

Find the inverse of the matrix. - $\left[ \begin{array} { c r } - 4 & - 4 \\6 & 6\end{array} \right]$

Graph the inequality. - $x-y>-5$

Solve the system of equations using substitution. - $\left\{ \begin{array} { c } x y = 72 \\x + y = 17\end{array} \right.$

Solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. - x-y+2z+w=2 y+z=2 z-w=3

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Exam 10: Systems of Equations and Inequalities

Solve the system of equations by using substitution. - {x+7y=73x−8y=−8\left\{ \begin{array} { c } x + 7 y = 7 \\3 x - 8 y = - 8\end{array} \right.{x+7y=73x−8y=−8​

Graph the system of inequalities. - {2x+3y≤6x−y≤3\left\{\begin{array}{r}2 x+3 y \leq 6 \\x-y \leq 3\end{array}\right.{2x+3y≤6x−y≤3​

Tell whether the given rational expression is proper or improper. - x3−9x+20x2−16x+64\frac { x ^ { 3 } - 9 x + 20 } { x ^ { 2 } - 16 x + 64 }x2−16x+64x3−9x+20​

Write the system of equations associated with the augmented matrix. Do not solve. - [88−87660930−4−6]\left[ \begin{array} { r r r | r } 8 & 8 & - 8 & 7 \\6 & 6 & 0 & 9 \\3 & 0 & - 4 & - 6\end{array} \right]​863​860​−80−4​79−6​​

Solve the system. - {7x−2y=528x−8y=15\left\{ \begin{array} { l } 7 x - 2 y = 5 \\28 x - 8 y = 15\end{array} \right.{7x−2y=528x−8y=15​

2x + 3y ≥6 - y≥x2y \geq x ^ { 2 }y≥x2 x+y>2x + y > 2x+y>2

Write the system of equations associated with the augmented matrix. Do not solve. - [362−260742702]\left[ \begin{array} { r r r | r } 3 & 6 & 2 & - 2 \\6 & 0 & 7 & 4 \\2 & 7 & 0 & 2\end{array} \right]​362​607​270​−242​​

Find the inverse of the matrix. - [113−1]\left[ \begin{array} { r r } 1 & 1 \\3 & - 1\end{array} \right][13​1−1​]

Solve the system of equations using substitution. - {x2+y2=169x+y=17\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 169 \\x + y = 17\end{array} \right.{x2+y2=169x+y=17​

Solve the problem. -The sum of the squares of two numbers is 20. The sum of the two numbers is -6. Find the two numbers.

Perform the indicated matrix operations. -Let B=[−116−3]B = \left[ \begin{array} { l l l l } - 1 & 1 & 6 & - 3 \end{array} \right]B=[−1​1​6​−3​] . Find −4B- 4 B−4B .

Solve the system of equations. - {x−y+z=8x+y+z=6x+y−z=−12\left\{ \begin{array} { l } x - y + z = 8 \\x + y + z = 6 \\x + y - z = - 12\end{array} \right.⎩⎨⎧​x−y+z=8x+y+z=6x+y−z=−12​

Find the inverse of the matrix. - [−4−466]\left[ \begin{array} { c r } - 4 & - 4 \\6 & 6\end{array} \right][−46​−46​]

Graph the inequality. - x−y>−5x-y>-5x−y>−5

Solve the system of equations using substitution. - {xy=72x+y=17\left\{ \begin{array} { c } x y = 72 \\x + y = 17\end{array} \right.{xy=72x+y=17​

Solve each system of equations using matrices (row operations). If the system has no solution, say that it is inconsistent. - x-y+2z+w=2 y+z=2 z-w=3

Functions and Their Graphs

Linear and Quadratic Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometric Functions

Polar Coordinates; Vectors

Analytic Geometry

Sequences; Induction; the Binomial Theorem

Counting and Probability

A Preview of Calculus: the Limit, Derivative, and Integral of a Function

Foundations: a Prelude to Functions

Graphing Utilities

Filters

Solve the system of equations by using substitution. - $\left\{ \begin{array} { c } x + 7 y = 7 \\3 x - 8 y = - 8\end{array} \right.$

Graph the system of inequalities. - $\left\{\begin{array}{r}2 x+3 y \leq 6 \\x-y \leq 3\end{array}\right.$ $Graph the system of inequalities. - \left\{\begin{array}{r} 2 x+3 y \leq 6 \\ x-y \leq 3 \end{array}\right.$

Tell whether the given rational expression is proper or improper. - $\frac { x ^ { 3 } - 9 x + 20 } { x ^ { 2 } - 16 x + 64 }$

Write the system of equations associated with the augmented matrix. Do not solve. - $\left[ \begin{array} { r r r | r } 8 & 8 & - 8 & 7 \\6 & 6 & 0 & 9 \\3 & 0 & - 4 & - 6\end{array} \right]$

Solve the system. - $\left\{ \begin{array} { l } 7 x - 2 y = 5 \\28 x - 8 y = 15\end{array} \right.$

2x + 3y ≥6 - $y \geq x ^ { 2 }$ $x + y > 2$ $2x + 3y ≥6 - y \geq x ^ { 2 } x + y > 2$

Write the system of equations associated with the augmented matrix. Do not solve. - $\left[ \begin{array} { r r r | r } 3 & 6 & 2 & - 2 \\6 & 0 & 7 & 4 \\2 & 7 & 0 & 2\end{array} \right]$

Find the inverse of the matrix. - $\left[ \begin{array} { r r } 1 & 1 \\3 & - 1\end{array} \right]$

Solve the system of equations using substitution. - $\left\{ \begin{array} { l } x ^ { 2 } + y ^ { 2 } = 169 \\x + y = 17\end{array} \right.$

Perform the indicated matrix operations. -Let $B = \left[ \begin{array} { l l l l } - 1 & 1 & 6 & - 3 \end{array} \right]$ . Find $- 4 B$ .

Solve the system of equations. - $\left\{ \begin{array} { l } x - y + z = 8 \\x + y + z = 6 \\x + y - z = - 12\end{array} \right.$

Find the inverse of the matrix. - $\left[ \begin{array} { c r } - 4 & - 4 \\6 & 6\end{array} \right]$

Graph the inequality. - $x-y>-5$

Solve the system of equations using substitution. - $\left\{ \begin{array} { c } x y = 72 \\x + y = 17\end{array} \right.$