Question 1

Identify the graph of the ellipse. 25 x  2 + 4 y  2 = 100

Accepted Answer

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

Question 2

Find the x intercepts of $y = 3 x ^ { 2 } + 6 x + 7$ . Separate answers with a comma.

Accepted Answer

A)  $\frac { 3 + 2 \sqrt { 3 } } { 2 }$ , $\frac { 3 - 2 \sqrt { 3 } } { 2 }$ 
B)  $\frac { - 3 + 2 \sqrt { 3 } } { 2 }$ , $\frac { - 3 - 2 \sqrt { 3 } } { 2 }$ 
C)  7 
D)  no x intercepts 
A)  $\frac { 3 + 2 \sqrt { 3 } } { 2 }$ , $\frac { 3 - 2 \sqrt { 3 } } { 2 }$ 
B)  $\frac { - 3 + 2 \sqrt { 3 } } { 2 }$ , $\frac { - 3 - 2 \sqrt { 3 } } { 2 }$ 
C)  7 
D)  no x intercepts

Question 3

Identify the graph of the ellipse. 81 x  2 + 2 y  2 = 162

Accepted Answer

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

Question 4

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

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 5

Find the intercepts for $9 x ^ { 2 } - 4 y ^ { 2 } = 36$ .

Accepted Answer

The answer of Find the intercepts for \(9 x ^...

Question 6

For the equation $y = - 2 ( x + 1 ) + 2$ , the line of symmetry has x values of $- 1$ .

Accepted Answer

A) True 
 B)False

Question 7

Identify the graph of the ellipse. 16 x  2 + 7 y  2 = 112

Accepted Answer

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

Question 8

Find the distance between the points (3, -5) and (6, -1).

Accepted Answer

A)  2 
B)  10 
C)  8 
D)  5 
A)  2 
B)  10 
C)  8 
D)  5

Question 9

Graph the parabola. $y = ( x + 1 ) ^ { 2 } - 3$

Accepted Answer

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

Question 10

Graph the hyperbola y 2 $-$ 9 x 2 = 16.

Accepted Answer

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

Question 11

Identify the graph of the ellipse. 25 x 2 + 50 x + 36 y 2 $-$ 144 y + 25 = 0

Accepted Answer

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

Question 12

Graph the hyperbola 4 x 2 $-$ y 2 = 20.

Accepted Answer

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

Question 13

The slope of a line is the ratio of the horizontal change to the vertical change when moving from one point to another point.

Accepted Answer

A) True 
 B)False

Question 14

Match each equation with the other equation that has the same graph.
-$2 y ^ { 2 } + 3 x ^ { 2 } = 25$

Accepted Answer

A)  $3 x ^ { 2 } + 2 y ^ { 2 } = 25$ 
B)  $2 x ^ { 2 } + 3 y ^ { 2 } = 25$ 
C)  $x ^ { 2 } + y ^ { 2 } = 25$ 
A)  $3 x ^ { 2 } + 2 y ^ { 2 } = 25$ 
B)  $2 x ^ { 2 } + 3 y ^ { 2 } = 25$ 
C)  $x ^ { 2 } + y ^ { 2 } = 25$

Question 15

Match each equation with the type of symmetry exhibited by its graph. Do not sketch the graph.
-symmetry with respect to the x 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 16

Graph the parabola. $y = ( x - 4 ) ^ { 2 } + 3$

Accepted Answer

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

Question 17

Graph the hyperbola x 2 $-$ y 2 = 2.

Accepted Answer

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

Question 18

Find the equation of the circle that passes through the origin and has its center at (0, 4).

Accepted Answer

The answer of Find the equation of the circle that...

Question 19

Find x if the line through ( 1, 1) and ( x , 0) has a slope of $\frac { 1 } { 10 } .$

Accepted Answer

The answer of Find x if the line through (...

Question 20

Graph the parabola. $y = ( x + 1 ) ^ { 2 } + 6$

Accepted Answer

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

Identify the graph of the ellipse. 25 x ² + 4 y ² = 100

Find the x intercepts of $y = 3 x ^ { 2 } + 6 x + 7$ . Separate answers with a comma.

Identify the graph of the ellipse. 81 x ² + 2 y ² = 162

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

Find the intercepts for $9 x ^ { 2 } - 4 y ^ { 2 } = 36$ .

For the equation $y = - 2 ( x + 1 ) + 2$ , the line of symmetry has x values of $- 1$ .

Identify the graph of the ellipse. 16 x ² + 7 y ² = 112

Find the distance between the points (3, -5) and (6, -1).

Graph the parabola. $y = ( x + 1 ) ^ { 2 } - 3$

Graph the hyperbola y 2 $-$ 9 x 2 = 16.

Identify the graph of the ellipse. 25 x 2 + 50 x + 36 y 2 $-$ 144 y + 25 = 0

Graph the hyperbola 4 x 2 $-$ y 2 = 20.

The slope of a line is the ratio of the horizontal change to the vertical change when moving from one point to another point.

Match each equation with the other equation that has the same graph. - $2 y ^ { 2 } + 3 x ^ { 2 } = 25$

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

Graph the parabola. $y = ( x - 4 ) ^ { 2 } + 3$

Graph the hyperbola x 2 $-$ y 2 = 2.

Find the equation of the circle that passes through the origin and has its center at (0, 4).

Find x if the line through ( 1, 1) and ( x , 0) has a slope of $\frac { 1 } { 10 } .$

Graph the parabola. $y = ( x + 1 ) ^ { 2 } + 6$

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

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

Identify the graph of the ellipse. 25 x 2 + 4 y 2 = 100

Find the x intercepts of y=3x2+6x+7y = 3 x ^ { 2 } + 6 x + 7y=3x2+6x+7 . Separate answers with a comma.

Identify the graph of the ellipse. 81 x 2 + 2 y 2 = 162

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

Find the intercepts for 9x2−4y2=369 x ^ { 2 } - 4 y ^ { 2 } = 369x2−4y2=36 .

For the equation y=−2(x+1)+2y = - 2 ( x + 1 ) + 2y=−2(x+1)+2 , the line of symmetry has x values of −1- 1−1 .

Identify the graph of the ellipse. 16 x 2 + 7 y 2 = 112

Find the distance between the points (3, -5) and (6, -1).

Graph the parabola. y=(x+1)2−3y = ( x + 1 ) ^ { 2 } - 3y=(x+1)2−3

Graph the hyperbola y 2 −-− 9 x 2 = 16.

Identify the graph of the ellipse. 25 x 2 + 50 x + 36 y 2 −-− 144 y + 25 = 0

Graph the hyperbola 4 x 2 −-− y 2 = 20.

The slope of a line is the ratio of the horizontal change to the vertical change when moving from one point to another point.

Match each equation with the other equation that has the same graph. - 2y2+3x2=252 y ^ { 2 } + 3 x ^ { 2 } = 252y2+3x2=25

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

Graph the parabola. y=(x−4)2+3y = ( x - 4 ) ^ { 2 } + 3y=(x−4)2+3

Graph the hyperbola x 2 −-− y 2 = 2.

Find the equation of the circle that passes through the origin and has its center at (0, 4).

Find x if the line through ( 1, 1) and ( x , 0) has a slope of 110.\frac { 1 } { 10 } .101​.

Graph the parabola. y=(x+1)2+6y = ( x + 1 ) ^ { 2 } + 6y=(x+1)2+6

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

Identify the graph of the ellipse. 25 x ² + 4 y ² = 100

Find the x intercepts of $y = 3 x ^ { 2 } + 6 x + 7$ . Separate answers with a comma.

Identify the graph of the ellipse. 81 x ² + 2 y ² = 162

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

Find the intercepts for $9 x ^ { 2 } - 4 y ^ { 2 } = 36$ .

For the equation $y = - 2 ( x + 1 ) + 2$ , the line of symmetry has x values of $- 1$ .

Identify the graph of the ellipse. 16 x ² + 7 y ² = 112

Graph the parabola. $y = ( x + 1 ) ^ { 2 } - 3$

Graph the hyperbola y 2 $-$ 9 x 2 = 16.

Identify the graph of the ellipse. 25 x 2 + 50 x + 36 y 2 $-$ 144 y + 25 = 0

Graph the hyperbola 4 x 2 $-$ y 2 = 20.

Match each equation with the other equation that has the same graph. - $2 y ^ { 2 } + 3 x ^ { 2 } = 25$

Graph the parabola. $y = ( x - 4 ) ^ { 2 } + 3$

Graph the hyperbola x 2 $-$ y 2 = 2.

Find x if the line through ( 1, 1) and ( x , 0) has a slope of $\frac { 1 } { 10 } .$

Graph the parabola. $y = ( x + 1 ) ^ { 2 } + 6$