Question 1

The distance between $P _ { 1 }$ and $P _ { 2 }$ is the same as the distance between $P _ { 2 }$ and $P _ { 1 }$ .

Accepted Answer

A) True 
 B)False

Question 2

Find x if the line through ( 2, 2) and ( x , 7) has a slope of $\frac { 9 } { 8 }$

Accepted Answer

A)  -10 
B)  3 
C)  6 
D)  11 
A)  -10 
B)  3 
C)  6 
D)  11

Question 3

The center of the hyperbola $( x - 1 ) ^ { 2 } - 9 ( x + 3 ) ^ { 2 } = 27$ is $( - 1,3 )$ .

Accepted Answer

A) True 
 B)False

Question 4

For the point (1, 8) determine the point that is symmetric with respect to y -axis.

Accepted Answer

A)  (1, -8) 
B)  (0, 8) 
C)  (-1, -8) 
D)  (-1, 8) 
A)  (1, -8) 
B)  (0, 8) 
C)  (-1, -8) 
D)  (-1, 8)

Question 5

If the point $( 3 , - 5 )$ is on a graph that is symmetric with respect to the x axis, the point $( - 3 , - 5 )$ is also on the graph.

Accepted Answer

A) True 
 B)False

Question 6

Find the intercepts for $y ^ { 2 } - 16 x ^ { 2 } = 81$ .

Accepted Answer

The answer of Find the intercepts for \(y ^ {...

Question 7

The major axis of an ellipse is always perpendicular to the x axis.

Accepted Answer

A) True 
 B)False

Question 8

Find the equation of the circle that passes through the origin and has its center at (0, 9).

Accepted Answer

A)  x  2 + y  2 + 18 x = 0 
B)  x 2 + y 2 $-$ 18 x $-$ 81 = 0 
C)  x  2 + y  2 + 18 y = 0 
D)  x 2 $-$ 18 x + y 2 = 0 
E)  x 2 + y 2 $-$ 18 y = 0 
A)  x  2 + y  2 + 18 x = 0 
B)  x 2 + y 2 $-$ 18 x $-$ 81 = 0 
C)  x  2 + y  2 + 18 y = 0 
D)  x 2 $-$ 18 x + y 2 = 0 
E)  x 2 + y 2 $-$ 18 y = 0

Question 9

Graph the parabola. $y = \frac { 1 } { 5 } x ^ { 2 }$

Accepted Answer

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

Question 10

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph.
-symmetry with respect to the y axis

Accepted Answer

A)  $x ^ { 2 } + 2 y = 2$ 
B)  $x = - y ^ { 2 } + 6$ 
C)  $x y = 2$ 
A)  $x ^ { 2 } + 2 y = 2$ 
B)  $x = - y ^ { 2 } + 6$ 
C)  $x y = 2$

Question 11

Find the slope of the line determined by the points (3, 2) and (5, 6).

Accepted Answer

A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $-$ 2 
D)  2 
A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $-$ 2 
D)  2

Question 12

Find y if the line through (0, 2) and ( 2, y ) has a slope of $- \frac { 3 } { 2 }$

Accepted Answer

A)  5 
B)  -1 
C)  10 
D)  4 
A)  5 
B)  -1 
C)  10 
D)  4

Question 13

Match each item with the correct graph to obtain a true statement.
-point

Accepted Answer

A)  $x ^ { 2 } + 2 y ^ { 2 } = 0$ 
B)  $x ^ { 2 } + 2 y ^ { 2 } = 16$ 
C)  $x ^ { 2 } + 2 y ^ { 2 } = - 16$ 
A)  $x ^ { 2 } + 2 y ^ { 2 } = 0$ 
B)  $x ^ { 2 } + 2 y ^ { 2 } = 16$ 
C)  $x ^ { 2 } + 2 y ^ { 2 } = - 16$

Question 14

Find the x intercepts of $y = 3 x ^ { 2 } - 11 x - 4$ . Separate answers with a comma.

Accepted Answer

A)  no x intercepts 
B)  $- \frac { 1 } { 3 }$ , $- 4$ 
C)  $- \frac { 1 } { 3 }$ , 4 
D)  $\frac { 1 } { 3 }$ , 4 
A)  no x intercepts 
B)  $- \frac { 1 } { 3 }$ , $- 4$ 
C)  $- \frac { 1 } { 3 }$ , 4 
D)  $\frac { 1 } { 3 }$ , 4

Question 15

Find the length of a radius of this circle. x  2 + y  2 = 41

Accepted Answer

A)  $r = \sqrt { 41 }$ 
B)  $r = 1$ 
C)  $r = 41$ 
D)  $r = \sqrt { 2 }$ 
A)  $r = \sqrt { 41 }$ 
B)  $r = 1$ 
C)  $r = 41$ 
D)  $r = \sqrt { 2 }$

Question 16

Find the distance between the points (-4, 2) and (5, 14).

Accepted Answer

The answer of Find the distance between the points (-4,...

Question 17

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph.
-symmetry with respect to the y axis

Accepted Answer

A)  $x ^ { 2 } - 3 x - y ^ { 2 } = 4$ 
B)  $y = x ^ { 4 } - x ^ { 2 } + 3$ 
C)  $y = 2 x$ 
A)  $x ^ { 2 } - 3 x - y ^ { 2 } = 4$ 
B)  $y = x ^ { 4 } - x ^ { 2 } + 3$ 
C)  $y = 2 x$

Question 18

Find the center of each circle. Match each of the equations with coordinates ( x , y ) to obtain a true statement.
-$( 8,10 )$

Accepted Answer

A)  $x ^ { 2 } + y ^ { 2 } - 16 x - 20 y - 992 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } + 18 x - 16 y + 144 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } + 20 x + 16 y + 163 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } - 8 x + 6 y + 9 = 0$ 
A)  $x ^ { 2 } + y ^ { 2 } - 16 x - 20 y - 992 = 0$ 
B)  $x ^ { 2 } + y ^ { 2 } + 18 x - 16 y + 144 = 0$ 
C)  $x ^ { 2 } + y ^ { 2 } + 20 x + 16 y + 163 = 0$ 
D)  $x ^ { 2 } + y ^ { 2 } - 8 x + 6 y + 9 = 0$

Question 19

The graph of an equation of the form $A x ^ { 2 } + B y ^ { 2 } = C$ , where A , B , and C are nonzero real numbers and $A \neq B$ is an hyperbola.

Accepted Answer

A) True 
 B)False

Question 20

Identify the graph of the ellipse. 5 x  2 + 4 y  2 = 20

Accepted Answer

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

The distance between $P _ { 1 }$ and $P _ { 2 }$ is the same as the distance between $P _ { 2 }$ and $P _ { 1 }$ .

Find x if the line through ( 2, 2) and ( x , 7) has a slope of $\frac { 9 } { 8 }$

The center of the hyperbola $( x - 1 ) ^ { 2 } - 9 ( x + 3 ) ^ { 2 } = 27$ is $( - 1,3 )$ .

For the point (1, 8) determine the point that is symmetric with respect to y -axis.

If the point $( 3 , - 5 )$ is on a graph that is symmetric with respect to the x axis, the point $( - 3 , - 5 )$ is also on the graph.

Find the intercepts for $y ^ { 2 } - 16 x ^ { 2 } = 81$ .

The major axis of an ellipse is always perpendicular to the x axis.

Find the equation of the circle that passes through the origin and has its center at (0, 9).

Graph the parabola. $y = \frac { 1 } { 5 } x ^ { 2 }$

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph. -symmetry with respect to the y axis

Find the slope of the line determined by the points (3, 2) and (5, 6).

Find y if the line through (0, 2) and ( 2, y ) has a slope of $- \frac { 3 } { 2 }$

Match each item with the correct graph to obtain a true statement. -point

Find the x intercepts of $y = 3 x ^ { 2 } - 11 x - 4$ . Separate answers with a comma.

Find the length of a radius of this circle. x ² + y ² = 41

Find the distance between the points (-4, 2) and (5, 14).

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph. -symmetry with respect to the y axis

Find the center of each circle. Match each of the equations with coordinates ( x , y ) to obtain a true statement. - $( 8,10 )$

The graph of an equation of the form $A x ^ { 2 } + B y ^ { 2 } = C$ , where A , B , and C are nonzero real numbers and $A \neq B$ is an hyperbola.

Identify the graph of the ellipse. 5 x ² + 4 y ² = 20

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

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Exam 12: Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

The distance between P1P _ { 1 }P1​ and P2P _ { 2 }P2​ is the same as the distance between P2P _ { 2 }P2​ and P1P _ { 1 }P1​ .

Find x if the line through ( 2, 2) and ( x , 7) has a slope of 98\frac { 9 } { 8 }89​

The center of the hyperbola (x−1)2−9(x+3)2=27( x - 1 ) ^ { 2 } - 9 ( x + 3 ) ^ { 2 } = 27(x−1)2−9(x+3)2=27 is (−1,3)( - 1,3 )(−1,3) .

For the point (1, 8) determine the point that is symmetric with respect to y -axis.

If the point (3,−5)( 3 , - 5 )(3,−5) is on a graph that is symmetric with respect to the x axis, the point (−3,−5)( - 3 , - 5 )(−3,−5) is also on the graph.

Find the intercepts for y2−16x2=81y ^ { 2 } - 16 x ^ { 2 } = 81y2−16x2=81 .

The major axis of an ellipse is always perpendicular to the x axis.

Find the equation of the circle that passes through the origin and has its center at (0, 9).

Graph the parabola. y=15x2y = \frac { 1 } { 5 } x ^ { 2 }y=51​x2

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph. -symmetry with respect to the y axis

Find the slope of the line determined by the points (3, 2) and (5, 6).

Find y if the line through (0, 2) and ( 2, y ) has a slope of −32- \frac { 3 } { 2 }−23​

Match each item with the correct graph to obtain a true statement. -point

Find the x intercepts of y=3x2−11x−4y = 3 x ^ { 2 } - 11 x - 4y=3x2−11x−4 . Separate answers with a comma.

Find the length of a radius of this circle. x 2 + y 2 = 41

Find the distance between the points (-4, 2) and (5, 14).

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph. -symmetry with respect to the y axis

Find the center of each circle. Match each of the equations with coordinates ( x , y ) to obtain a true statement. - (8,10)( 8,10 )(8,10)

The graph of an equation of the form Ax2+By2=CA x ^ { 2 } + B y ^ { 2 } = CAx2+By2=C , where A , B , and C are nonzero real numbers and A≠BA \neq BA=B is an hyperbola.

Identify the graph of the ellipse. 5 x 2 + 4 y 2 = 20

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

The distance between $P _ { 1 }$ and $P _ { 2 }$ is the same as the distance between $P _ { 2 }$ and $P _ { 1 }$ .

Find x if the line through ( 2, 2) and ( x , 7) has a slope of $\frac { 9 } { 8 }$

The center of the hyperbola $( x - 1 ) ^ { 2 } - 9 ( x + 3 ) ^ { 2 } = 27$ is $( - 1,3 )$ .

If the point $( 3 , - 5 )$ is on a graph that is symmetric with respect to the x axis, the point $( - 3 , - 5 )$ is also on the graph.

Find the intercepts for $y ^ { 2 } - 16 x ^ { 2 } = 81$ .

Graph the parabola. $y = \frac { 1 } { 5 } x ^ { 2 }$

Find y if the line through (0, 2) and ( 2, y ) has a slope of $- \frac { 3 } { 2 }$

Find the x intercepts of $y = 3 x ^ { 2 } - 11 x - 4$ . Separate answers with a comma.

Find the length of a radius of this circle. x ² + y ² = 41

Find the center of each circle. Match each of the equations with coordinates ( x , y ) to obtain a true statement. - $( 8,10 )$

The graph of an equation of the form $A x ^ { 2 } + B y ^ { 2 } = C$ , where A , B , and C are nonzero real numbers and $A \neq B$ is an hyperbola.

Identify the graph of the ellipse. 5 x ² + 4 y ² = 20