Question 1

Match the solution of the system of inequalities with the graph.
-$$\left\{ \begin{array} { l } 
y > 2 x - 1 \
y < x + 1
\end{array} \right.$$

Accepted Answer

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

Question 2

center  (1,0) , radius $\sqrt { 10 }$

Accepted Answer

A)  $x ^ { 2 } + ( y - 1 ) ^ { 2 } = 100$ 
B)  $( x - 1 ) ^ { 2 } + y ^ { 2 } = \sqrt { 10 }$ 
C)  $( x + 1 ) ^ { 2 } + y ^ { 2 } = 10$ 
D)  $( x - 1 ) ^ { 2 } + y ^ { 2 } = 10$ 
A)  $x ^ { 2 } + ( y - 1 ) ^ { 2 } = 100$ 
B)  $( x - 1 ) ^ { 2 } + y ^ { 2 } = \sqrt { 10 }$ 
C)  $( x + 1 ) ^ { 2 } + y ^ { 2 } = 10$ 
D)  $( x - 1 ) ^ { 2 } + y ^ { 2 } = 10$

Question 3

Graph.
-$$y ^ { 2 } - 9 x ^ { 2 } = 9$$

Accepted Answer

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

Question 4

Write the expression without negative exponents.
-$$y = \left( 4 x ^ { 2 } - 8 x + 4 \right) ^ { - 1 / 3 } \left( 8 x ^ { 2 } \right)$$

Accepted Answer

A)  $y = \frac { 8 x ^ { 2 } } { \left( 4 x ^ { 2 } - 8 x + 4 \right) ^ { 1 / 3 } }$ 
B)  $y = \frac { 32 x ^ { 4 } - 64 x ^ { 3 } } { 4 ^ { 1 / 3 } }$ 
C)  $y = \frac { 1 } { \left( 4 x ^ { 2 } - 8 x + 4 \right) ^ { 1 / 3 } \left( 8 x ^ { 2 } \right) }$ 
D)  $y = \frac { 8 x ^ { 2 } } { \left( 4 x ^ { 2 } - 8 x + 4 \right) ^ { 3 } }$ 
A)  $y = \frac { 8 x ^ { 2 } } { \left( 4 x ^ { 2 } - 8 x + 4 \right) ^ { 1 / 3 } }$ 
B)  $y = \frac { 32 x ^ { 4 } - 64 x ^ { 3 } } { 4 ^ { 1 / 3 } }$ 
C)  $y = \frac { 1 } { \left( 4 x ^ { 2 } - 8 x + 4 \right) ^ { 1 / 3 } \left( 8 x ^ { 2 } \right) }$ 
D)  $y = \frac { 8 x ^ { 2 } } { \left( 4 x ^ { 2 } - 8 x + 4 \right) ^ { 3 } }$

Question 5

Find the sum of the first 4 terms of the arithmetic sequence with first term 1 and common difference  -2 .

Accepted Answer

A)   -8 
B)  4 
C)  1 
D)   -7 
A)   -8 
B)  4 
C)  1 
D)   -7

Question 6

Graph the circle.
-$x^{2}+(y-6)^{2}=9$

Accepted Answer

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

Question 7

Write the equation of the circle with the given center and radius.
-center $( 3,2 )$, radius 12

Accepted Answer

A)  $( x - 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 12$ 
B)  $( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 144$ 
C)  $( x + 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 144$ 
D)  $( x + 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 12$ 
A)  $( x - 2 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 12$ 
B)  $( x - 3 ) ^ { 2 } + ( y - 2 ) ^ { 2 } = 144$ 
C)  $( x + 3 ) ^ { 2 } + ( y + 2 ) ^ { 2 } = 144$ 
D)  $( x + 2 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 12$

Question 8

Graph the circle.
-$$x ^ { 2 } + y ^ { 2 } + 2 x + 2 y - 23 = 0$$

Accepted Answer

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

Question 9

Draw the graph of the equation.
-$$y ^ { 2 } - 6 y + 4 x + 21 = 0$$

Accepted Answer

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

Question 10

Graph the solution set of the system of inequalities.
-$\left\{\begin{array}{l}
y \leq-x^{2} \
x+y \geq-2
\end{array}\right.$

Accepted Answer

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

Question 11

Find the first five terms of the sequence defined by the given general term.
-$$a _ { n } = n ^ { 2 } - n$$

Accepted Answer

A)  $1,4,9,16,25$ 
B)  $2,6,12,20,30$ 
C)  $0,2,6,12,20$ 
D)  $0,3,8,15,24$ 
A)  $1,4,9,16,25$ 
B)  $2,6,12,20,30$ 
C)  $0,2,6,12,20$ 
D)  $0,3,8,15,24$

Question 12

Find the center and radius of the circle with the given equation.
-$$x ^ { 2 } + ( y - 10 ) ^ { 2 } = 25$$

Accepted Answer

A)  $( 0,10 ) ; \mathrm { r } = 5$ 
B)  $( 10,0 ) ; r = 5$ 
C)  $( 0,10 ) ; \mathrm { r } = 25$ 
D)  $( 10,0 ) ; r = 25$ 
A)  $( 0,10 ) ; \mathrm { r } = 5$ 
B)  $( 10,0 ) ; r = 5$ 
C)  $( 0,10 ) ; \mathrm { r } = 25$ 
D)  $( 10,0 ) ; r = 25$

Question 13

An important calculation in calculus is the evaluation of the expression $$\frac { f ( x + h ) - f ( x ) } { h } , \text { where } h \neq 0 \text {. Find } \frac { f ( x + h ) - f ( x ) } { h }$$
-$f ( x ) = 4 x - 4$

Accepted Answer

A)  4 
B)  $- 4$ 
C)  $- 4 + \mathrm { h }$ 
D)  $4 + \mathrm { h }$ 
A)  4 
B)  $- 4$ 
C)  $- 4 + \mathrm { h }$ 
D)  $4 + \mathrm { h }$

Question 14

Determine whether the graph of the equation is a circle or an ellipse.
-$$\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 7 } = 1$$

Accepted Answer

A)  Circle 
B)  Ellipse 
A)  Circle 
B)  Ellipse

Question 15

Graph the solution set of the system of inequalities.
-$$\left\{ \begin{array} { l } 
y \geq - x ^ { 2 } - 6 x - 4 \
y \geq x ^ { 2 } + 6 x + 4
\end{array} \right.$$

Accepted Answer

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

Question 16

$a _ { n } = ( - 1 ) ^ { n + 5}$

Accepted Answer

A)   1,1,1,1,1 
B)   1,-1,1,-1,1 
C)   -1,1,-1,1,-1 
D)   -1,-1,-1,-1,-1 
A)   1,1,1,1,1 
B)   1,-1,1,-1,1 
C)   -1,1,-1,1,-1 
D)   -1,-1,-1,-1,-1

Question 17

An important calculation in calculus is the evaluation of the expression $$\frac { f ( x + h ) - f ( x ) } { h } , \text { where } h \neq 0 \text {. Find } \frac { f ( x + h ) - f ( x ) } { h }$$
-$$f ( x ) = - 14 - 5 x$$

Accepted Answer

A)  $\frac { - 5 h - 28 } { h }$ 
B)  $\frac { 5 h - 28 } { h }$ 
C)  5 
D)  $- 5$ 
A)  $\frac { - 5 h - 28 } { h }$ 
B)  $\frac { 5 h - 28 } { h }$ 
C)  5 
D)  $- 5$

Question 18

Write the function without radicals by using fractional exponents.
-$$y = \sqrt [ 3 ] { ( 2 x ) ^ { 2 } } + \sqrt { ( 8 x ) ^ { 3 } }$$

Accepted Answer

A)  $y = ( 2 x ) ^ { 2 / 3 } + ( 8 x ) ^ { 3 }$ 
B)  $y = ( 2 x ) ^ { 3 / 2 } + ( 8 x ) ^ { 2 / 3 }$ 
C)  $y = ( 10 x ) ^ { 13 / 6 }$ 
D)  $y = ( 2 x ) ^ { 2 / 3 } + ( 8 x ) ^ { 3 / 2 }$ 
A)  $y = ( 2 x ) ^ { 2 / 3 } + ( 8 x ) ^ { 3 }$ 
B)  $y = ( 2 x ) ^ { 3 / 2 } + ( 8 x ) ^ { 2 / 3 }$ 
C)  $y = ( 10 x ) ^ { 13 / 6 }$ 
D)  $y = ( 2 x ) ^ { 2 / 3 } + ( 8 x ) ^ { 3 / 2 }$

Question 19

Write the equation for the shape described.
-The circle with center (19, 17), containing the origin

Accepted Answer

A)  $( x - 19 ) ^ { 2 } + ( y - 17 ) ^ { 2 } = 650$ 
B)  $( x - 19 ) ^ { 2 } + ( y - 17 ) ^ { 2 } = 25$ 
C)  $( x - 17 ) ^ { 2 } + ( y - 19 ) ^ { 2 } = 650$ 
D)  $( x - 17 ) ^ { 2 } + ( y - 19 ) ^ { 2 } = 25$ 
A)  $( x - 19 ) ^ { 2 } + ( y - 17 ) ^ { 2 } = 650$ 
B)  $( x - 19 ) ^ { 2 } + ( y - 17 ) ^ { 2 } = 25$ 
C)  $( x - 17 ) ^ { 2 } + ( y - 19 ) ^ { 2 } = 650$ 
D)  $( x - 17 ) ^ { 2 } + ( y - 19 ) ^ { 2 } = 25$

Question 20

Find the next three terms of the arithmetic sequence.
-Find the 9 th term of the arithmetic sequence with first term 8 and common difference $\frac { 1 } { 2 }$.

Accepted Answer

A)  12 
B)  4 
C)  $\frac { 25 } { 2 }$ 
D)  $\frac { 7 } { 2 }$ 
A)  12 
B)  4 
C)  $\frac { 25 } { 2 }$ 
D)  $\frac { 7 } { 2 }$

Match the solution of the system of inequalities with the graph. - $\left\{ \begin{array} { l } y > 2 x - 1 \\y < x + 1\end{array} \right.$

center (1,0) , radius $\sqrt { 10 }$

Graph. - $y ^ { 2 } - 9 x ^ { 2 } = 9$ $Graph. - y ^ { 2 } - 9 x ^ { 2 } = 9$

Write the expression without negative exponents. - $y = \left( 4 x ^ { 2 } - 8 x + 4 \right) ^ { - 1 / 3 } \left( 8 x ^ { 2 } \right)$

Find the sum of the first 4 terms of the arithmetic sequence with first term 1 and common difference -2 .

Graph the circle. - $x^{2}+(y-6)^{2}=9$ $Graph the circle. - x^{2}+(y-6)^{2}=9$

Write the equation of the circle with the given center and radius. -center $( 3,2 )$ , radius 12

Graph the circle. - $x ^ { 2 } + y ^ { 2 } + 2 x + 2 y - 23 = 0$ $Graph the circle. - x ^ { 2 } + y ^ { 2 } + 2 x + 2 y - 23 = 0$

Draw the graph of the equation. - $y ^ { 2 } - 6 y + 4 x + 21 = 0$ $Draw the graph of the equation. - y ^ { 2 } - 6 y + 4 x + 21 = 0$

Graph the solution set of the system of inequalities. - $\left\{\begin{array}{l}y \leq-x^{2} \\x+y \geq-2\end{array}\right.$ $Graph the solution set of the system of inequalities. - \left\{\begin{array}{l} y \leq-x^{2} \\ x+y \geq-2 \end{array}\right.$

Find the first five terms of the sequence defined by the given general term. - $a _ { n } = n ^ { 2 } - n$

Find the center and radius of the circle with the given equation. - $x ^ { 2 } + ( y - 10 ) ^ { 2 } = 25$

An important calculation in calculus is the evaluation of the expression $\frac { f ( x + h ) - f ( x ) } { h } , \text { where } h \neq 0 \text {. Find } \frac { f ( x + h ) - f ( x ) } { h }$ - $f ( x ) = 4 x - 4$

Determine whether the graph of the equation is a circle or an ellipse. - $\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 7 } = 1$

$a _ { n } = ( - 1 ) ^ { n + 5}$

An important calculation in calculus is the evaluation of the expression $\frac { f ( x + h ) - f ( x ) } { h } , \text { where } h \neq 0 \text {. Find } \frac { f ( x + h ) - f ( x ) } { h }$ - $f ( x ) = - 14 - 5 x$

Write the function without radicals by using fractional exponents. - $y = \sqrt [ 3 ] { ( 2 x ) ^ { 2 } } + \sqrt { ( 8 x ) ^ { 3 } }$

Write the equation for the shape described. -The circle with center (19, 17), containing the origin

Find the next three terms of the arithmetic sequence. -Find the 9 th term of the arithmetic sequence with first term 8 and common difference $\frac { 1 } { 2 }$ .

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Filters

Exam 8: Special Topics in Algebra

Match the solution of the system of inequalities with the graph. - {y>2x−1y<x+1\left\{ \begin{array} { l } y > 2 x - 1 \\y < x + 1\end{array} \right.{y>2x−1y<x+1​

center (1,0) , radius 10\sqrt { 10 }10​

Graph. - y2−9x2=9y ^ { 2 } - 9 x ^ { 2 } = 9y2−9x2=9

Write the expression without negative exponents. - y=(4x2−8x+4)−1/3(8x2)y = \left( 4 x ^ { 2 } - 8 x + 4 \right) ^ { - 1 / 3 } \left( 8 x ^ { 2 } \right)y=(4x2−8x+4)−1/3(8x2)

Find the sum of the first 4 terms of the arithmetic sequence with first term 1 and common difference -2 .

Graph the circle. - x2+(y−6)2=9x^{2}+(y-6)^{2}=9x2+(y−6)2=9

Write the equation of the circle with the given center and radius. -center (3,2)( 3,2 )(3,2) , radius 12

Graph the circle. - x2+y2+2x+2y−23=0x ^ { 2 } + y ^ { 2 } + 2 x + 2 y - 23 = 0x2+y2+2x+2y−23=0

Draw the graph of the equation. - y2−6y+4x+21=0y ^ { 2 } - 6 y + 4 x + 21 = 0y2−6y+4x+21=0

Graph the solution set of the system of inequalities. - {y≤−x2x+y≥−2\left\{\begin{array}{l}y \leq-x^{2} \\x+y \geq-2\end{array}\right.{y≤−x2x+y≥−2​

Find the first five terms of the sequence defined by the given general term. - an=n2−na _ { n } = n ^ { 2 } - nan​=n2−n

Find the center and radius of the circle with the given equation. - x2+(y−10)2=25x ^ { 2 } + ( y - 10 ) ^ { 2 } = 25x2+(y−10)2=25

Determine whether the graph of the equation is a circle or an ellipse. - x27+y27=1\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 7 } = 17x2​+7y2​=1

Graph the solution set of the system of inequalities. - {y≥−x2−6x−4y≥x2+6x+4\left\{ \begin{array} { l } y \geq - x ^ { 2 } - 6 x - 4 \\y \geq x ^ { 2 } + 6 x + 4\end{array} \right.{y≥−x2−6x−4y≥x2+6x+4​

an=(−1)n+5a _ { n } = ( - 1 ) ^ { n + 5}an​=(−1)n+5

Write the function without radicals by using fractional exponents. - y=(2x)23+(8x)3y = \sqrt [ 3 ] { ( 2 x ) ^ { 2 } } + \sqrt { ( 8 x ) ^ { 3 } }y=3(2x)2​+(8x)3​

Write the equation for the shape described. -The circle with center (19, 17), containing the origin

Find the next three terms of the arithmetic sequence. -Find the 9 th term of the arithmetic sequence with first term 8 and common difference 12\frac { 1 } { 2 }21​ .

Functions, Graphs, and Models; Linear Functions

Linear Models, Equations, and Inequalities

Quadratic, Piecewise-Defined, and Power Functions

Additional Topics With Functions

Exponential and Logarithmic Functions

Higher-Degree Polynomial and Rational Functions

Systems of Equations and Matrices

Filters

Match the solution of the system of inequalities with the graph. - $\left\{ \begin{array} { l } y > 2 x - 1 \\y < x + 1\end{array} \right.$

center (1,0) , radius $\sqrt { 10 }$

Graph. - $y ^ { 2 } - 9 x ^ { 2 } = 9$ $Graph. - y ^ { 2 } - 9 x ^ { 2 } = 9$

Write the expression without negative exponents. - $y = \left( 4 x ^ { 2 } - 8 x + 4 \right) ^ { - 1 / 3 } \left( 8 x ^ { 2 } \right)$

Graph the circle. - $x^{2}+(y-6)^{2}=9$ $Graph the circle. - x^{2}+(y-6)^{2}=9$

Write the equation of the circle with the given center and radius. -center $( 3,2 )$ , radius 12

Graph the circle. - $x ^ { 2 } + y ^ { 2 } + 2 x + 2 y - 23 = 0$ $Graph the circle. - x ^ { 2 } + y ^ { 2 } + 2 x + 2 y - 23 = 0$

Draw the graph of the equation. - $y ^ { 2 } - 6 y + 4 x + 21 = 0$ $Draw the graph of the equation. - y ^ { 2 } - 6 y + 4 x + 21 = 0$

Graph the solution set of the system of inequalities. - $\left\{\begin{array}{l}y \leq-x^{2} \\x+y \geq-2\end{array}\right.$ $Graph the solution set of the system of inequalities. - \left\{\begin{array}{l} y \leq-x^{2} \\ x+y \geq-2 \end{array}\right.$

Find the first five terms of the sequence defined by the given general term. - $a _ { n } = n ^ { 2 } - n$

Find the center and radius of the circle with the given equation. - $x ^ { 2 } + ( y - 10 ) ^ { 2 } = 25$

Determine whether the graph of the equation is a circle or an ellipse. - $\frac { x ^ { 2 } } { 7 } + \frac { y ^ { 2 } } { 7 } = 1$

$a _ { n } = ( - 1 ) ^ { n + 5}$

Write the function without radicals by using fractional exponents. - $y = \sqrt [ 3 ] { ( 2 x ) ^ { 2 } } + \sqrt { ( 8 x ) ^ { 3 } }$

Find the next three terms of the arithmetic sequence. -Find the 9 th term of the arithmetic sequence with first term 8 and common difference $\frac { 1 } { 2 }$ .