Fill in the blank with one of the words or phrases listed below. \[\begin{array} { l l l } \text { circle } & \text { ellipse } & \text { hyperbola } \\ \text { conic sections } & \text { vertex } & \text { diameter } \\ \text { center } & \text { radius } & \text { nonlinear system of equations } \end{array}\] -A(n)----- is a system of equations at least one of which is not linear.

A) circle B) radius C) ellipse D) nonlinear system of equations A) circle B) radius C) ellipse D) nonlinear system of equations

Fill in the blank with one of the words or phrases listed below. \[\begin{array} { l l l } \text { circle } & \text { ellipse } & \text { hyperbola } \\ \text { conic sections } & \text { vertex } & \text { diameter } \\ \text { center } & \text { radius } & \text { nonlinear system of equations } \end{array}\] -In a circle, the distance from the center to a point of the circle is called its ---------

A) ellipse B) diameter C) center D) radius A) ellipse B) diameter C) center D) radius

Exam 13: Conic Sections

Graph the system. - $\left\{\begin{array}{r}\frac{x^{2}}{16}+y^{2}<1 \\x+y \geq 1\end{array}\right.$ $Graph the system. - \left\{\begin{array}{r} \frac{x^{2}}{16}+y^{2}<1 \\ x+y \geq 1 \end{array}\right.$

(Multiple Choice)

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Question 141

Fill in the blank with one of the words or phrases listed below. circle ellipse hyperbola conic sections vertex diameter center radius nonlinear system of equations -A(n)----- is a system of equations at least one of which is not linear.

(Multiple Choice)

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Question 142

The graph of the equation is a parabola. Determine whether the parabola opens upward, downward, to the left, or to the right. Do not graph. - $y = - x ^ { 2 } + 9$

(Multiple Choice)

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Question 143

Find the center and the radius of the circle. - $( x + 7 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 64$

(Multiple Choice)

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Question 144

Solve the nonlinear system of equations for real solutions. - $\left\{ \begin{aligned}y & = x + 2 \\x ^ { 2 } - y ^ { 2 } & = 4\end{aligned} \right.$

(Multiple Choice)

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Question 145

Find the center and the radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 10 x + 12 y + 61 = 9$

(Multiple Choice)

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Question 146

Fill in the blank with one of the words or phrases listed below. circle ellipse hyperbola conic sections vertex diameter center radius nonlinear system of equations -In a circle, the distance from the center to a point of the circle is called its ---------

(Multiple Choice)

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Question 147

Graph the equation. - $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1$ $Graph the equation. - \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1$

(Multiple Choice)

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Question 148

Identify the graph of the equation as an ellipse or a hyperbola. Do not graph. - $\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 16 } = 1$

(Multiple Choice)

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Question 149

Sketch the graph of the equation. - $x ^ { 2 } + y ^ { 2 } = 36$ $Sketch the graph of the equation. - x ^ { 2 } + y ^ { 2 } = 36$

(Multiple Choice)

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Question 150

The graph of the equation is a parabola. Determine whether the parabola opens upward, downward, to the left, or to the right. Do not graph. - $x = - 7 y ^ { 2 } - 2 y + 4$

(Multiple Choice)

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Question 151

Solve the nonlinear system of equations for real solutions. - $\left\{ \begin{array} { l } x = y ^ { 2 } + 3 \\x = y ^ { 2 } + 1 y\end{array} \right.$

(Multiple Choice)

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Question 152

Identify the graph of the equation as an ellipse or a hyperbola. Do not graph. - $- \frac { y ^ { 2 } } { 9 } + \frac { x ^ { 2 } } { 25 } = 1$

(Multiple Choice)

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Question 153

Graph the system. - $\left\{\begin{array}{r}\frac{x^{2}}{16}+y^{2}<1 \\x+y \geq 1\end{array}\right.$ $Graph the system. - \left\{\begin{array}{r} \frac{x^{2}}{16}+y^{2}<1 \\ x+y \geq 1 \end{array}\right.$

Fill in the blank with one of the words or phrases listed below. circle ellipse hyperbola conic sections vertex diameter center radius nonlinear system of equations -A(n)----- is a system of equations at least one of which is not linear.

The graph of the equation is a parabola. Determine whether the parabola opens upward, downward, to the left, or to the right. Do not graph. - $y = - x ^ { 2 } + 9$

Find the center and the radius of the circle. - $( x + 7 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 64$

Solve the nonlinear system of equations for real solutions. - $\left\{ \begin{aligned}y & = x + 2 \\x ^ { 2 } - y ^ { 2 } & = 4\end{aligned} \right.$

Find the center and the radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 10 x + 12 y + 61 = 9$

Fill in the blank with one of the words or phrases listed below. circle ellipse hyperbola conic sections vertex diameter center radius nonlinear system of equations -In a circle, the distance from the center to a point of the circle is called its ---------

Graph the equation. - $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1$ $Graph the equation. - \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1$

Identify the graph of the equation as an ellipse or a hyperbola. Do not graph. - $\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 16 } = 1$

Sketch the graph of the equation. - $x ^ { 2 } + y ^ { 2 } = 36$ $Sketch the graph of the equation. - x ^ { 2 } + y ^ { 2 } = 36$

The graph of the equation is a parabola. Determine whether the parabola opens upward, downward, to the left, or to the right. Do not graph. - $x = - 7 y ^ { 2 } - 2 y + 4$

Solve the nonlinear system of equations for real solutions. - $\left\{ \begin{array} { l } x = y ^ { 2 } + 3 \\x = y ^ { 2 } + 1 y\end{array} \right.$

Identify the graph of the equation as an ellipse or a hyperbola. Do not graph. - $- \frac { y ^ { 2 } } { 9 } + \frac { x ^ { 2 } } { 25 } = 1$

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Sequences, Series, and the Binomial Theorem

Filters

Exam 13: Conic Sections

Graph the system. - {x216+y2<1x+y≥1\left\{\begin{array}{r}\frac{x^{2}}{16}+y^{2}<1 \\x+y \geq 1\end{array}\right.{16x2​+y2<1x+y≥1​

Fill in the blank with one of the words or phrases listed below. circle ellipse hyperbola conic sections vertex diameter center radius nonlinear system of equations -A(n)----- is a system of equations at least one of which is not linear.

The graph of the equation is a parabola. Determine whether the parabola opens upward, downward, to the left, or to the right. Do not graph. - y=−x2+9y = - x ^ { 2 } + 9y=−x2+9

Find the center and the radius of the circle. - (x+7)2+(y−6)2=64( x + 7 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 64(x+7)2+(y−6)2=64

Solve the nonlinear system of equations for real solutions. - {y=x+2x2−y2=4\left\{ \begin{aligned}y & = x + 2 \\x ^ { 2 } - y ^ { 2 } & = 4\end{aligned} \right.{yx2−y2​=x+2=4​

Find the center and the radius of the circle. - x2+y2+10x+12y+61=9x ^ { 2 } + y ^ { 2 } + 10 x + 12 y + 61 = 9x2+y2+10x+12y+61=9

Fill in the blank with one of the words or phrases listed below. circle ellipse hyperbola conic sections vertex diameter center radius nonlinear system of equations -In a circle, the distance from the center to a point of the circle is called its ---------

Graph the equation. - x24+y225=1\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 14x2​+25y2​=1

Identify the graph of the equation as an ellipse or a hyperbola. Do not graph. - x225−y216=1\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 16 } = 125x2​−16y2​=1

Sketch the graph of the equation. - x2+y2=36x ^ { 2 } + y ^ { 2 } = 36x2+y2=36

The graph of the equation is a parabola. Determine whether the parabola opens upward, downward, to the left, or to the right. Do not graph. - x=−7y2−2y+4x = - 7 y ^ { 2 } - 2 y + 4x=−7y2−2y+4

Solve the nonlinear system of equations for real solutions. - {x=y2+3x=y2+1y\left\{ \begin{array} { l } x = y ^ { 2 } + 3 \\x = y ^ { 2 } + 1 y\end{array} \right.{x=y2+3x=y2+1y​

Identify the graph of the equation as an ellipse or a hyperbola. Do not graph. - −y29+x225=1- \frac { y ^ { 2 } } { 9 } + \frac { x ^ { 2 } } { 25 } = 1−9y2​+25x2​=1

Review of Real Numbers

Equations, Inequalities, and Problem Solving

Graphing

Solving Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

More on Functions and Graphs

Inequalities and Absolute Value

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Sequences, Series, and the Binomial Theorem

Filters

Graph the system. - $\left\{\begin{array}{r}\frac{x^{2}}{16}+y^{2}<1 \\x+y \geq 1\end{array}\right.$ $Graph the system. - \left\{\begin{array}{r} \frac{x^{2}}{16}+y^{2}<1 \\ x+y \geq 1 \end{array}\right.$

The graph of the equation is a parabola. Determine whether the parabola opens upward, downward, to the left, or to the right. Do not graph. - $y = - x ^ { 2 } + 9$

Find the center and the radius of the circle. - $( x + 7 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 64$

Solve the nonlinear system of equations for real solutions. - $\left\{ \begin{aligned}y & = x + 2 \\x ^ { 2 } - y ^ { 2 } & = 4\end{aligned} \right.$

Find the center and the radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 10 x + 12 y + 61 = 9$

Graph the equation. - $\frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1$ $Graph the equation. - \frac { x ^ { 2 } } { 4 } + \frac { y ^ { 2 } } { 25 } = 1$

Identify the graph of the equation as an ellipse or a hyperbola. Do not graph. - $\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 16 } = 1$

Sketch the graph of the equation. - $x ^ { 2 } + y ^ { 2 } = 36$ $Sketch the graph of the equation. - x ^ { 2 } + y ^ { 2 } = 36$

The graph of the equation is a parabola. Determine whether the parabola opens upward, downward, to the left, or to the right. Do not graph. - $x = - 7 y ^ { 2 } - 2 y + 4$

Solve the nonlinear system of equations for real solutions. - $\left\{ \begin{array} { l } x = y ^ { 2 } + 3 \\x = y ^ { 2 } + 1 y\end{array} \right.$

Identify the graph of the equation as an ellipse or a hyperbola. Do not graph. - $- \frac { y ^ { 2 } } { 9 } + \frac { x ^ { 2 } } { 25 } = 1$