Question 1

Use the distance formula to find the distance between the two points. (-3, 18) and (-3, -6)

Accepted Answer

A)  -12 
B)  24 
C)  12 
D)  -24 
A)  -12 
B)  24 
C)  12 
D)  -24 B

Question 2

Identify the center and radius of the circle and then graph the circle. $$( x + 2 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 25$$

Accepted Answer

$$\text { Center } = ( - 2,1 ) ; r = 5$$

Question 3

Identify the center and radius of the circle. $$x ^ { 2 } + 9 x + y ^ { 2 } - \frac { 3 } { 2 } y = 10$$

Accepted Answer

A)  Center: $\left( \frac { 9 } { 2 } , \frac { 3 } { 2 } \right) ; r = 10$ 
B)  Center: $\left( - \frac { 9 } { 2 } , \frac { 3 } { 4 } \right) ; r = \frac { \sqrt { 493 } } { 4 }$ 
C)  Center: $\left( - 9 , \frac { 3 } { 2 } \right) ; r = \sqrt { 10 }$ 
D)  Center: $\left( \frac { 3 } { 4 } , - \frac { 1 } { 16 } \right) ; r = 2 \sqrt { 2 }$ 
A)  Center: $\left( \frac { 9 } { 2 } , \frac { 3 } { 2 } \right) ; r = 10$ 
B)  Center: $\left( - \frac { 9 } { 2 } , \frac { 3 } { 4 } \right) ; r = \frac { \sqrt { 493 } } { 4 }$ 
C)  Center: $\left( - 9 , \frac { 3 } { 2 } \right) ; r = \sqrt { 10 }$ 
D)  Center: $\left( \frac { 3 } { 4 } , - \frac { 1 } { 16 } \right) ; r = 2 \sqrt { 2 }$ B

Question 4

Graph the solution set. $$3 x + 2 y \geq 6$$

Accepted Answer

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

Question 5

Graph the solution set to the system of nonlinear inequalities. $$\begin{array} { l } 
y \leq 5 ^ { x } \
x ^ { 2 } + y ^ { 2 } \leq 4
\end{array}$$

Accepted Answer

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

Question 6

Write an equation of a circle centered at (10, -2) with a radius of 10.

Accepted Answer

The answer of Write an equation of a circle centered...

Question 7

Solve the system of nonlinear equations by the addition method. $$\begin{array} { l } 
x ^ { 2 } + y ^ { 2 } = 20 \
3 y ^ { 2 } - x = 50
\end{array}$$

Accepted Answer

A)  $\left\{ ( - 2 , - 4 ) , ( - 2,4 ) , \left( \frac { 5 } { 3 } , - \frac { \sqrt { 155 } } { 3 } \right) , \left( \frac { 5 } { 3 } , \frac { \sqrt { 155 } } { 3 } \right) \right\}$ 
B)  $\left\{ ( \sqrt { 20 } , 0 ) , \left( 0 , - \sqrt { \frac { 50 } { 3 } } \right) \right\}$ 
C)  $\{ ( 0 , \sqrt { 20 } ) , ( - 2,4 ) \}$ 
D)  { } 
A)  $\left\{ ( - 2 , - 4 ) , ( - 2,4 ) , \left( \frac { 5 } { 3 } , - \frac { \sqrt { 155 } } { 3 } \right) , \left( \frac { 5 } { 3 } , \frac { \sqrt { 155 } } { 3 } \right) \right\}$ 
B)  $\left\{ ( \sqrt { 20 } , 0 ) , \left( 0 , - \sqrt { \frac { 50 } { 3 } } \right) \right\}$ 
C)  $\{ ( 0 , \sqrt { 20 } ) , ( - 2,4 ) \}$ 
D)  { }

Question 8

Sketch the system of equations. Then solve the system by the substitution method. $$\begin{array} { l } 
y = x ^ { 2 } + 2 x + 4 \
y = - x - 2
\end{array}$$

Accepted Answer

A) 
 
$\{ ( - 2,0 ) , ( 1,3 ) \}$ 
B) 
 
$\{ ( 0,4 ) \}$ 
C) 
 
{ } 
D) 
 
$\{ ( - 2 , - 4 ) , ( 3,1 ) \}$ 
A) 
 
$\{ ( - 2,0 ) , ( 1,3 ) \}$ 
B) 
 
$\{ ( 0,4 ) \}$ 
C) 
 
{ } 
D) 
 
$\{ ( - 2 , - 4 ) , ( 3,1 ) \}$

Question 9

Sketch the system of equations. Then solve the system by the substitution method. $$\begin{array} { l } 
y = x ^ { 2 } - 9 \
y = x - 3
\end{array}$$

Accepted Answer

The answer of Sketch the system of equations. Then solve...

Question 10

The point (5, 1) satisfies the inequality. $$- x ^ { 2 } + y ^ { 2 } > 0$$

Accepted Answer

A) True 
 B)False

Question 11

Describe the solution set for the inequality. $$\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 4 } < 1$$

Accepted Answer

The set of

Question 12

Describe the solution set for the inequality. $$x ^ { 2 } + y ^ { 2 } \geq 9$$

Accepted Answer

The set of

Question 13

Use the equation of the parabola in standard form $x = a ( y - k ) ^ { 2 } + h$ to determine the coordinates of the vertex and the equation of the axis of symmetry (complete the square if necessary). Then graph The parabola. $$x = y ^ { 2 } - 4 y + 2$$

Accepted Answer

A)  vertex $( - 2,2 )$;
Line of symmetry $y = 2$
  
B)  vertex $( - 2,2 )$;
Line of symmetry $y = 2$
  
C)  vertex $( - 2 , - 2 )$;
Line of symmetry $y = - 2$
  
D)  vertex $( - 2 , - 2 )$;
 Line of symmetry $y = - 2$
  
A)  vertex $( - 2,2 )$;
Line of symmetry $y = 2$
  
B)  vertex $( - 2,2 )$;
Line of symmetry $y = 2$
  
C)  vertex $( - 2 , - 2 )$;
Line of symmetry $y = - 2$
  
D)  vertex $( - 2 , - 2 )$;
 Line of symmetry $y = - 2$

Question 14

Solve the system of nonlinear equations by the addition method. $$\begin{array} { l } 
\frac { x ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 36 } = 1 \
x ^ { 2 } + y ^ { 2 } = 9
\end{array}$$

Accepted Answer

A)  $\{ ( 3,0 ) , ( - 3,0 ) , ( 0,3 ) , ( 0 , - 3 ) \}$ 
B)  $\{ ( 3,0 ) , ( - 3,0 ) \}$ 
C)  $\{ ( 0,3 ) , ( 0 , - 3 ) \}$ 
D) { } 
A)  $\{ ( 3,0 ) , ( - 3,0 ) , ( 0,3 ) , ( 0 , - 3 ) \}$ 
B)  $\{ ( 3,0 ) , ( - 3,0 ) \}$ 
C)  $\{ ( 0,3 ) , ( 0 , - 3 ) \}$ 
D) { }

Question 15

Use the equation of the parabola in standard form y = a(x - h)2 + k to determine the coordinates of the vertex and the equation of the axis of symmetry (complete the square if necessary). Then graph The parabola. $$y = ( x + 2 ) ^ { 2 } + 1$$

Accepted Answer

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

Question 16

Find the midpoint of the line segment between the two given points. (-4, -6) and (2, -10)

Accepted Answer

A)  (-1, -8) 
B)  (-8, -1) 
C)  (-5, -4) 
D)  (-2, -16) 
A)  (-1, -8) 
B)  (-8, -1) 
C)  (-5, -4) 
D)  (-2, -16)

Question 17

Determine the vertex by using the vertex formula. $x = - y ^ { 2 } - 18 y - 87$

Accepted Answer

A)  (-6, 9) 
B)  (-6, -9) 
C)  (9, -6) 
D)  (-9, -6) 
A)  (-6, 9) 
B)  (-6, -9) 
C)  (9, -6) 
D)  (-9, -6)

Question 18

Identify the center of the ellipse $$\frac { ( x - 1 ) ^ { 2 } } { 4 } + \frac { ( y - 2 ) ^ { 2 } } { 9 } = 1$$ Then graph the ellipse.

Accepted Answer

The answer of Identify the center of the ellipse \[\frac...

Question 19

Give the coordinates of the vertices for the following hyperbola.

Accepted Answer

The answer of Give the coordinates of the vertices for...

Question 20

Determine whether the transverse axis of the hyperbola $$\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 121 } = 1$$ is horizontal or vertical.

Accepted Answer

The answer of Determine whether the transverse axis of the...

Use the distance formula to find the distance between the two points. (-3, 18) and (-3, -6)

Identify the center and radius of the circle and then graph the circle. $( x + 2 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 25$

Identify the center and radius of the circle. $x ^ { 2 } + 9 x + y ^ { 2 } - \frac { 3 } { 2 } y = 10$

Graph the solution set. $3 x + 2 y \geq 6$

Graph the solution set to the system of nonlinear inequalities. y\leq +\leq4

Write an equation of a circle centered at (10, -2) with a radius of 10.

Solve the system of nonlinear equations by the addition method. +=20 3-x=50

Sketch the system of equations. Then solve the system by the substitution method. y=+2x+4 y=-x-2

Sketch the system of equations. Then solve the system by the substitution method. y=-9 y=x-3

The point (5, 1) satisfies the inequality. $- x ^ { 2 } + y ^ { 2 } > 0$

Describe the solution set for the inequality. $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 4 } < 1$

Describe the solution set for the inequality. $x ^ { 2 } + y ^ { 2 } \geq 9$

Use the equation of the parabola in standard form $x = a ( y - k ) ^ { 2 } + h$ to determine the coordinates of the vertex and the equation of the axis of symmetry (complete the square if necessary). Then graph The parabola. $x = y ^ { 2 } - 4 y + 2$

Solve the system of nonlinear equations by the addition method. +=1 +=9

Use the equation of the parabola in standard form y = a(x - h)2 + k to determine the coordinates of the vertex and the equation of the axis of symmetry (complete the square if necessary). Then graph The parabola. $y = ( x + 2 ) ^ { 2 } + 1$

Find the midpoint of the line segment between the two given points. (-4, -6) and (2, -10)

Determine the vertex by using the vertex formula. $x = - y ^ { 2 } - 18 y - 87$

Identify the center of the ellipse $\frac { ( x - 1 ) ^ { 2 } } { 4 } + \frac { ( y - 2 ) ^ { 2 } } { 9 } = 1$ Then graph the ellipse.

Give the coordinates of the vertices for the following hyperbola.

Determine whether the transverse axis of the hyperbola $\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 121 } = 1$ is horizontal or vertical.

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables and Functions

Systems of Linear Equations and Inequalities

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

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Exam 9: Conic Sections

Use the distance formula to find the distance between the two points. (-3, 18) and (-3, -6)

Identify the center and radius of the circle and then graph the circle. (x+2)2+(y−1)2=25( x + 2 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 25(x+2)2+(y−1)2=25

Identify the center and radius of the circle. x2+9x+y2−32y=10x ^ { 2 } + 9 x + y ^ { 2 } - \frac { 3 } { 2 } y = 10x2+9x+y2−23​y=10

Graph the solution set. 3x+2y≥63 x + 2 y \geq 63x+2y≥6

Graph the solution set to the system of nonlinear inequalities. y\leq +\leq4

Write an equation of a circle centered at (10, -2) with a radius of 10.

Solve the system of nonlinear equations by the addition method. +=20 3-x=50

Sketch the system of equations. Then solve the system by the substitution method. y=+2x+4 y=-x-2

Sketch the system of equations. Then solve the system by the substitution method. y=-9 y=x-3

The point (5, 1) satisfies the inequality. −x2+y2>0- x ^ { 2 } + y ^ { 2 } > 0−x2+y2>0

Describe the solution set for the inequality. x216+y24<1\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 4 } < 116x2​+4y2​<1

Describe the solution set for the inequality. x2+y2≥9x ^ { 2 } + y ^ { 2 } \geq 9x2+y2≥9

Use the equation of the parabola in standard form x=a(y−k)2+hx = a ( y - k ) ^ { 2 } + hx=a(y−k)2+h to determine the coordinates of the vertex and the equation of the axis of symmetry (complete the square if necessary). Then graph The parabola. x=y2−4y+2x = y ^ { 2 } - 4 y + 2x=y2−4y+2

Solve the system of nonlinear equations by the addition method. +=1 +=9

Use the equation of the parabola in standard form y = a(x - h)2 + k to determine the coordinates of the vertex and the equation of the axis of symmetry (complete the square if necessary). Then graph The parabola. y=(x+2)2+1y = ( x + 2 ) ^ { 2 } + 1y=(x+2)2+1

Find the midpoint of the line segment between the two given points. (-4, -6) and (2, -10)

Determine the vertex by using the vertex formula. x=−y2−18y−87x = - y ^ { 2 } - 18 y - 87x=−y2−18y−87

Identify the center of the ellipse (x−1)24+(y−2)29=1\frac { ( x - 1 ) ^ { 2 } } { 4 } + \frac { ( y - 2 ) ^ { 2 } } { 9 } = 14(x−1)2​+9(y−2)2​=1 Then graph the ellipse.

Give the coordinates of the vertices for the following hyperbola.

Determine whether the transverse axis of the hyperbola x264−y2121=1\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 121 } = 164x2​−121y2​=1 is horizontal or vertical.

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables and Functions

Systems of Linear Equations and Inequalities

Polynomials

Rational Expressions and Rational Equations

Radicals and Complex Numbers

Quadratic Equations, Functions and Inequalities

Exponential and Logarithmic Functions and Applications

Binomial Expansions, Sequences, and Series

Online: Transformations, Piecewise-Defined Functions, and Probability

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Identify the center and radius of the circle and then graph the circle. $( x + 2 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 25$

Identify the center and radius of the circle. $x ^ { 2 } + 9 x + y ^ { 2 } - \frac { 3 } { 2 } y = 10$

Graph the solution set. $3 x + 2 y \geq 6$

The point (5, 1) satisfies the inequality. $- x ^ { 2 } + y ^ { 2 } > 0$

Describe the solution set for the inequality. $\frac { x ^ { 2 } } { 16 } + \frac { y ^ { 2 } } { 4 } < 1$

Describe the solution set for the inequality. $x ^ { 2 } + y ^ { 2 } \geq 9$

Use the equation of the parabola in standard form $x = a ( y - k ) ^ { 2 } + h$ to determine the coordinates of the vertex and the equation of the axis of symmetry (complete the square if necessary). Then graph The parabola. $x = y ^ { 2 } - 4 y + 2$

Use the equation of the parabola in standard form y = a(x - h)2 + k to determine the coordinates of the vertex and the equation of the axis of symmetry (complete the square if necessary). Then graph The parabola. $y = ( x + 2 ) ^ { 2 } + 1$

Determine the vertex by using the vertex formula. $x = - y ^ { 2 } - 18 y - 87$

Identify the center of the ellipse $\frac { ( x - 1 ) ^ { 2 } } { 4 } + \frac { ( y - 2 ) ^ { 2 } } { 9 } = 1$ Then graph the ellipse.

Determine whether the transverse axis of the hyperbola $\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 121 } = 1$ is horizontal or vertical.