Question 1

A __________ is a line that intersects a circle at two points.

Accepted Answer

The answer of A __________ is a line that intersects...

Question 2

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

Accepted Answer

The answer of Graph the equation. \(\log _ { 7...

Question 3

A(n) __________ is the set of all points in a plane for which the sum of the distances from two fixed points is a constant.

Accepted Answer

The answer of A(n) __________ is the set of all...

Question 4

Describe the ellipse which is the graph of the equation $\frac { ( x - 1 ) ^ { 2 } } { 9 } + \frac { ( y + 6 ) ^ { 2 } } { 4 } =1$ .

Accepted Answer

A)  center: $( 1 , - 6 )$ ; vertices: $( - 2 , - 6 )$ , $( 4 , - 6 )$ 
B)  center: $( - 1,6 )$ ; vertices: $( - 3,6 )$ , $( 2,6 )$ 
C)  center: $( 1 , - 6 )$ ; vertices: $( 3,0 )$ , $( - 3,0 )$ 
D)  center: $( 1 , - 6 )$ ; vertices: $( 0,2 )$ , $( 0 , - 2 )$ 
A)  center: $( 1 , - 6 )$ ; vertices: $( - 2 , - 6 )$ , $( 4 , - 6 )$ 
B)  center: $( - 1,6 )$ ; vertices: $( - 3,6 )$ , $( 2,6 )$ 
C)  center: $( 1 , - 6 )$ ; vertices: $( 3,0 )$ , $( - 3,0 )$ 
D)  center: $( 1 , - 6 )$ ; vertices: $( 0,2 )$ , $( 0 , - 2 )$

Question 5

The product of two integers is 28, and their sum is 11. Find the integers. x=  __________ (smaller integer) y= __________ (larger integer)

Accepted Answer

The answer of The product of two integers is 28,...

Question 6

Graph the hyperbola. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Accepted Answer

The answer of Graph the hyperbola. \(\log _ { 4...

Question 7

Determine whether the equation, when graphed, will be a circle , a parabola , an ellipse , or a hyperbola . $x = y ^ { 2 } - 3 y + 6$

Accepted Answer

The answer of Determine whether the equation, when graphed, will...

Question 8

What happens to the graph of the equation $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1$ when $a=b$ ?

Accepted Answer

The answer of What happens to the graph of the...

Question 9

A(n) __________ is a line that intersects a circle at one point.

Accepted Answer

The answer of A(n) __________ is a line that intersects...

Question 10

Graph the equation. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Accepted Answer

The answer of Graph the equation. \(\log _ { 4...

Question 11

What is the equation of the ellipse?

Accepted Answer

The answer of What is the equation of the ellipse?
...

Question 12

Solve the system for real solutions: $\left\{ \begin{array} { l } 
\frac { 3 } { x } + \frac { 5 } { y } = \frac { 49 } { 40 } \
\frac { 4 } { x } - \frac { 1 } { y } = \frac { 27 } { 40 }
\end{array} \right.$

Accepted Answer

The answer of Solve the system for real solutions: \(\left\{...

Question 13

Solve: $\left\{ \begin{array} { l } 
\frac { 1 } { x } + \frac { 1 } { y } = 3 \\
\frac { 1 } { x } - \frac { 1 } { y } = - 1
\end{array} \right.$

Accepted Answer

A)  $\left( 1 , \frac { 1 } { 2 } \right)$ 
B)  $( 1,2 )$ 
C)  $\left( - 1 , \frac { 1 } { 2 } \right)$ 
D)  $( - 1,2 )$ 
A)  $\left( 1 , \frac { 1 } { 2 } \right)$ 
B)  $( 1,2 )$ 
C)  $\left( - 1 , \frac { 1 } { 2 } \right)$ 
D)  $( - 1,2 )$

Question 14

Solve the system of equations by graphing. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Accepted Answer

The answer of Solve the system of equations by graphing....

Question 15

What is the equation of the ellipse?
 $\log _ { 7 } \frac { x y } { 7 }$

Accepted Answer

The answer of What is the equation of the ellipse?
...

Question 16

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

Accepted Answer

The answer of Graph the equation. \(\log _ { 7...

Question 17

Two algebraic methods for solving a system of nonlinear equations are the ________ method and the elimination method.

Accepted Answer

The answer of Two algebraic methods for solving a system...

Question 18

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

Accepted Answer

The answer of Graph the equation. \(\log _ { 7...

Question 19

Solve the system $\left\{ \begin{array} { r } 
x ^ { 2 } + y ^ { 2 } = 49 \
x - y = 3
\end{array} \right.$ by substitution. Which of the following equations is the outcome, when substituting the equation $x - y = 3$ into $x ^ { 2 } + y ^ { 2 } = 49$ ?

Accepted Answer

A)  $2 y ^ { 2 } + 9 = 49$ 
B)  $2 y ^ { 2 } + 6 y + 9 = 49$ 
C)  $2 y ^ { 2 } + y + 9 = 49$ 
D)  $2 y ^ { 4 } + 9 = 49$ 
A)  $2 y ^ { 2 } + 9 = 49$ 
B)  $2 y ^ { 2 } + 6 y + 9 = 49$ 
C)  $2 y ^ { 2 } + y + 9 = 49$ 
D)  $2 y ^ { 4 } + 9 = 49$

Question 20

Graph the hyperbola. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Accepted Answer

The answer of Graph the hyperbola. \(\log _ { 4...

A __________ is a line that intersects a circle at two points.

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

A(n) __________ is the set of all points in a plane for which the sum of the distances from two fixed points is a constant.

Describe the ellipse which is the graph of the equation $\frac { ( x - 1 ) ^ { 2 } } { 9 } + \frac { ( y + 6 ) ^ { 2 } } { 4 } =1$ .

The product of two integers is 28, and their sum is 11. Find the integers. x= (smaller integer) y= (larger integer)

Graph the hyperbola. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Determine whether the equation, when graphed, will be a circle , a parabola , an ellipse , or a hyperbola . $x = y ^ { 2 } - 3 y + 6$

What happens to the graph of the equation $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1$ when $a=b$ ?

A(n) __________ is a line that intersects a circle at one point.

Graph the equation. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

What is the equation of the ellipse?

Solve the system for real solutions: $\left\{ \begin{array} { l } \frac { 3 } { x } + \frac { 5 } { y } = \frac { 49 } { 40 } \\\frac { 4 } { x } - \frac { 1 } { y } = \frac { 27 } { 40 }\end{array} \right.$

Solve: $\left\{ \begin{array} { l } \frac { 1 } { x } + \frac { 1 } { y } = 3 \\\\\frac { 1 } { x } - \frac { 1 } { y } = - 1\end{array} \right.$

Solve the system of equations by graphing. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

What is the equation of the ellipse? $\log _ { 7 } \frac { x y } { 7 }$

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

Two algebraic methods for solving a system of nonlinear equations are the ________ method and the elimination method.

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

Solve the system $\left\{ \begin{array} { r } x ^ { 2 } + y ^ { 2 } = 49 \\x - y = 3\end{array} \right.$ by substitution. Which of the following equations is the outcome, when substituting the equation $x - y = 3$ into $x ^ { 2 } + y ^ { 2 } = 49$ ?

Graph the hyperbola. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Miscellaneous Topics

Filters

Exam 10: Conic Sections; More Graphing

A __________ is a line that intersects a circle at two points.

Graph the equation. log⁡7xy7\log _ { 7 } \frac { x y } { 7 }log7​7xy​

A(n) __________ is the set of all points in a plane for which the sum of the distances from two fixed points is a constant.

Describe the ellipse which is the graph of the equation (x−1)29+(y+6)24=1\frac { ( x - 1 ) ^ { 2 } } { 9 } + \frac { ( y + 6 ) ^ { 2 } } { 4 } =19(x−1)2​+4(y+6)2​=1 .

The product of two integers is 28, and their sum is 11. Find the integers. x= __________ (smaller integer) y= __________ (larger integer)

Graph the hyperbola. log⁡44x9y\log _ { 4 } \frac { 4 x ^ { 9 } } { y }log4​y4x9​

Determine whether the equation, when graphed, will be a circle , a parabola , an ellipse , or a hyperbola . x=y2−3y+6x = y ^ { 2 } - 3 y + 6x=y2−3y+6

What happens to the graph of the equation x2a2+y2b2=1\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1a2x2​+b2y2​=1 when a=ba=ba=b ?

A(n) __________ is a line that intersects a circle at one point.

Graph the equation. log⁡44x9y\log _ { 4 } \frac { 4 x ^ { 9 } } { y }log4​y4x9​

What is the equation of the ellipse?

Solve the system for real solutions: {3x+5y=49404x−1y=2740\left\{ \begin{array} { l } \frac { 3 } { x } + \frac { 5 } { y } = \frac { 49 } { 40 } \\\frac { 4 } { x } - \frac { 1 } { y } = \frac { 27 } { 40 }\end{array} \right.{x3​+y5​=4049​x4​−y1​=4027​​

Solve: {1x+1y=31x−1y=−1\left\{ \begin{array} { l } \frac { 1 } { x } + \frac { 1 } { y } = 3 \\\\\frac { 1 } { x } - \frac { 1 } { y } = - 1\end{array} \right.⎩⎨⎧​x1​+y1​=3x1​−y1​=−1​

Solve the system of equations by graphing. log⁡44x9y\log _ { 4 } \frac { 4 x ^ { 9 } } { y }log4​y4x9​

What is the equation of the ellipse? log⁡7xy7\log _ { 7 } \frac { x y } { 7 }log7​7xy​

Graph the equation. log⁡7xy7\log _ { 7 } \frac { x y } { 7 }log7​7xy​

Two algebraic methods for solving a system of nonlinear equations are the ________ method and the elimination method.

Graph the equation. log⁡7xy7\log _ { 7 } \frac { x y } { 7 }log7​7xy​

Graph the hyperbola. log⁡44x9y\log _ { 4 } \frac { 4 x ^ { 9 } } { y }log4​y4x9​

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Miscellaneous Topics

Filters

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

Describe the ellipse which is the graph of the equation $\frac { ( x - 1 ) ^ { 2 } } { 9 } + \frac { ( y + 6 ) ^ { 2 } } { 4 } =1$ .

The product of two integers is 28, and their sum is 11. Find the integers. x= (smaller integer) y= (larger integer)

Graph the hyperbola. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Determine whether the equation, when graphed, will be a circle , a parabola , an ellipse , or a hyperbola . $x = y ^ { 2 } - 3 y + 6$

What happens to the graph of the equation $\frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1$ when $a=b$ ?

Graph the equation. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

Solve the system for real solutions: $\left\{ \begin{array} { l } \frac { 3 } { x } + \frac { 5 } { y } = \frac { 49 } { 40 } \\\frac { 4 } { x } - \frac { 1 } { y } = \frac { 27 } { 40 }\end{array} \right.$

Solve: $\left\{ \begin{array} { l } \frac { 1 } { x } + \frac { 1 } { y } = 3 \\\\\frac { 1 } { x } - \frac { 1 } { y } = - 1\end{array} \right.$

Solve the system of equations by graphing. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$

What is the equation of the ellipse? $\log _ { 7 } \frac { x y } { 7 }$

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

Graph the equation. $\log _ { 7 } \frac { x y } { 7 }$

Graph the hyperbola. $\log _ { 4 } \frac { 4 x ^ { 9 } } { y }$