Solve Linear Systems by Substitution -\[\begin{aligned} - 5 x + 2 y & = 72 \\ x - 4 y & = 0 \end{aligned}\] \[x - 4 y = 0\]

A) $\{ ( - 16 , - 4 ) \}$ B) $\{ ( - 4 , - 16 ) \}$ C) $\{ ( - 16,4 ) \}$ D) $\{ ( - 15 , - 4 ) \}$ A) $\{ ( - 16 , - 4 ) \}$ B) $\{ ( - 4 , - 16 ) \}$ C) $\{ ( - 16,4 ) \}$ D) $\{ ( - 15 , - 4 ) \}$

Solve Systems of Linear Equations in Three Variables -\[\begin{aligned} x + y + z & = - 9 \\ x - y + 4 z & = - 9 \\ 2 x + 2 y + 2 z & = - 13 \end{aligned}\]

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

Solve Systems of Linear Equations in Three Variables -\[\begin{array} { c } x + y + z = - 7 \\ x - y + 3 z = - 13 \\ 2 x + y + z = - 9 \end{array}\]

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

Determine whether the given ordered pair is a solution of the system. -\[\begin{array} { l } ( - 5 , - 6 ) \\ 2 x + y = - 16 \\ 4 x + 2 y = - 32 \end{array}\]

A) solution B) not a solution A) solution B) not a solution

Solve Linear Systems by Substitution -\[\begin{array} { l } 3 x - 2 y = - 28 - 3 x \\ 4 x + 7 y = x + 6 y + - 4 \end{array}\]

A) $\{ ( - 3,5 ) \}$ B) $\{ ( - 3 , - 5 ) \}$ C) $\{ ( 0 , - 28 ) \}$ D) $\left\{ \left( - \frac { 14 } { 3 } , 0 \right) \right\}$ A) $\{ ( - 3,5 ) \}$ B) $\{ ( - 3 , - 5 ) \}$ C) $\{ ( 0 , - 28 ) \}$ D) $\left\{ \left( - \frac { 14 } { 3 } , 0 \right) \right\}$

Solve Linear Systems by Substitution -\[\begin{array} { r } 2 x + 5 y = - 9 \\ x = 2 y \end{array}\]

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

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution -\[\begin{array} { l } y = - 5 x - 4 \\ - 10 x - 2 y = 8 \end{array}\]

A) $\{ ( 0 , - 4 ) \}$ B) $\{ ( 0,0 ) \}$ C) $\{ ( x , y ) \mid 5 x + y = - 4 \}$ D) $\varnothing$ A) $\{ ( 0 , - 4 ) \}$ B) $\{ ( 0,0 ) \}$ C) $\{ ( x , y ) \mid 5 x + y = - 4 \}$ D) $\varnothing$

Solve Linear Systems by Substitution -\[\begin{array} { l } y = \frac { 1 } { 6 } x - 7 \\ y = \frac { 2 } { 3 } x + 11 \end{array}\]

A) $\{ ( - 36 , - 13 ) \}$ B) $\{ ( - 36,13 ) \}$ C) $\{ ( 42,0 ) \}$ D) $\left\{ \left( - \frac { 35 } { 6 } , - \frac { 53 } { 3 } \right) \right\}$ A) $\{ ( - 36 , - 13 ) \}$ B) $\{ ( - 36,13 ) \}$ C) $\{ ( 42,0 ) \}$ D) $\left\{ \left( - \frac { 35 } { 6 } , - \frac { 53 } { 3 } \right) \right\}$

Exam 8: Systems of Equations and Inequalities

Solve Problems Using Systems in Three Variables -A ceramics workshop makes wreaths, trees, and sleighs for sale at Christmas. A wreath takes 3 hours to prepare, 2 hours to paint, and 10 hours to fire. A tree takes 16 hours to prepare, 3 hours to paint, and 4 hours to fire. A sleigh takes 4 hours to prepare, 13 hours to paint, and 7 hours to fire. If the workshop has 114 hours for prep time, 79 hours for painting, and 108 hours for firing, How many of each can be made?

(Multiple Choice)

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Question 241

Solve Linear Systems by Substitution - -5x+2y =72 x-4y =0 $x - 4 y = 0$

(Multiple Choice)

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Question 242

Write the partial fraction decomposition of the rational expression. - $\frac { x } { ( x - 3 ) ( x - 4 ) }$

(Multiple Choice)

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Question 243

Solve Nonlinear Systems By Addition -x2 - 3y2 = 1 4x2 + 3y2 = 19

(Multiple Choice)

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Question 244

Solve Systems of Linear Equations in Three Variables - x+y+z =-9 x-y+4z =-9 2x+2y+2z =-13

(Multiple Choice)

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Question 245

Solve Systems of Linear Equations in Three Variables - x+y+z=-7 x-y+3z=-13 2x+y+z=-9

(Multiple Choice)

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Question 246

Solve Problems Using Systems of Linear Equations -Is there a profit when 238 binoculars are produced?

(Multiple Choice)

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Question 247

Determine whether the given ordered pair is a solution of the system. - (-5,-6) 2x+y=-16 4x+2y=-32

(Multiple Choice)

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Question 248

Graph a Nonlinear Inequality in Two Variables - $y \leq 2^{x}$ $Graph a Nonlinear Inequality in Two Variables - y \leq 2^{x}$

(Multiple Choice)

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Question 249

Solve Nonlinear Systems By Substitution - $x y = 2$ $x + y = 3$ $x + y = 3$

(Multiple Choice)

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Question 250

Use Linear Programming to Solve Problems -Objective Function: $\mathrm { z } = \mathrm { x } + 9 \mathrm { y }$ Find maximum.

(Multiple Choice)

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Question 251

Solve Problems Using Systems of Linear Equations -Use the revenue and cost functions to write the profit function from producing and selling $x$ binoculars.

(Multiple Choice)

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Question 252

Solve Linear Systems by Substitution - 3x-2y=-28-3x 4x+7y=x+6y+-4

(Multiple Choice)

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Question 253

Solve Linear Systems by Substitution - 2x+5y=-9 x=2y

(Multiple Choice)

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Question 254

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution - y=-5x-4 -10x-2y=8

(Multiple Choice)

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Question 255

Systems of Linear Equations in Three Variables 1 Verify the Solution of a System of Linear Equations in Three Variables - (4,-5,-4) 4x+2y+z=2 5x-4y-z=44 3x+y+4z=-9

(Multiple Choice)

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Question 256

Solve Linear Systems by Substitution - y=x-7 y=x+11

(Multiple Choice)

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Question 257

Graph the inequality. - $y \leq - 5$ $Graph the inequality. - y \leq - 5$

(Multiple Choice)

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Question 258

Solve Problems Using Systems of Linear Equations -Steve invests in a circus production. The cost includes an overhead of $\$ 16,000$ , plus production costs of $\$ 8000$ per performance. A sold-out performance brings in $\$ 10,000$ . Determine the number of sold-out performances, $x$ , needed to break even.

(Multiple Choice)

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Question 259

Systems of Linear Equations in Three Variables 1 Verify the Solution of a System of Linear Equations in Three Variables - (-1,-3,5) x-y+z=7 x+y+z=1 x+y-z=-9

(Multiple Choice)

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Question 260

Solve Linear Systems by Substitution - -5x+2y =72 x-4y =0 $x - 4 y = 0$

Write the partial fraction decomposition of the rational expression. - $\frac { x } { ( x - 3 ) ( x - 4 ) }$

Solve Nonlinear Systems By Addition -x2 - 3y2 = 1 4x2 + 3y2 = 19

Solve Systems of Linear Equations in Three Variables - x+y+z =-9 x-y+4z =-9 2x+2y+2z =-13

Solve Systems of Linear Equations in Three Variables - x+y+z=-7 x-y+3z=-13 2x+y+z=-9

Solve Problems Using Systems of Linear Equations -Is there a profit when 238 binoculars are produced?

Determine whether the given ordered pair is a solution of the system. - (-5,-6) 2x+y=-16 4x+2y=-32

Graph a Nonlinear Inequality in Two Variables - $y \leq 2^{x}$ $Graph a Nonlinear Inequality in Two Variables - y \leq 2^{x}$

Solve Nonlinear Systems By Substitution - $x y = 2$ $x + y = 3$ $x + y = 3$

Use Linear Programming to Solve Problems -Objective Function: $\mathrm { z } = \mathrm { x } + 9 \mathrm { y }$ Find maximum.

Solve Problems Using Systems of Linear Equations -Use the revenue and cost functions to write the profit function from producing and selling $x$ binoculars.

Solve Linear Systems by Substitution - 3x-2y=-28-3x 4x+7y=x+6y+-4

Solve Linear Systems by Substitution - 2x+5y=-9 x=2y

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution - y=-5x-4 -10x-2y=8

Systems of Linear Equations in Three Variables 1 Verify the Solution of a System of Linear Equations in Three Variables - (4,-5,-4) 4x+2y+z=2 5x-4y-z=44 3x+y+4z=-9

Solve Linear Systems by Substitution - y=x-7 y=x+11

Graph the inequality. - $y \leq - 5$ $Graph the inequality. - y \leq - 5$

Systems of Linear Equations in Three Variables 1 Verify the Solution of a System of Linear Equations in Three Variables - (-1,-3,5) x-y+z=7 x+y+z=1 x+y-z=-9

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Matrices and Determinants

Conic Sections and Analytic Geometry

Sequences, Induction, and Probability

Prerequisites: Fundamental Concepts of Algebra

Filters

Exam 8: Systems of Equations and Inequalities

Solve Linear Systems by Substitution - -5x+2y =72 x-4y =0 x−4y=0x - 4 y = 0x−4y=0

Write the partial fraction decomposition of the rational expression. - x(x−3)(x−4)\frac { x } { ( x - 3 ) ( x - 4 ) }(x−3)(x−4)x​

Solve Nonlinear Systems By Addition -x2 - 3y2 = 1 4x2 + 3y2 = 19

Solve Systems of Linear Equations in Three Variables - x+y+z =-9 x-y+4z =-9 2x+2y+2z =-13

Solve Systems of Linear Equations in Three Variables - x+y+z=-7 x-y+3z=-13 2x+y+z=-9

Solve Problems Using Systems of Linear Equations -Is there a profit when 238 binoculars are produced?

Determine whether the given ordered pair is a solution of the system. - (-5,-6) 2x+y=-16 4x+2y=-32

Graph a Nonlinear Inequality in Two Variables - y≤2xy \leq 2^{x}y≤2x

Solve Nonlinear Systems By Substitution - xy=2x y = 2xy=2 x+y=3x + y = 3x+y=3 x+y=3x + y = 3x+y=3

Use Linear Programming to Solve Problems -Objective Function: z=x+9y\mathrm { z } = \mathrm { x } + 9 \mathrm { y }z=x+9y Find maximum.

Solve Problems Using Systems of Linear Equations -Use the revenue and cost functions to write the profit function from producing and selling xxx binoculars.

Solve Linear Systems by Substitution - 3x-2y=-28-3x 4x+7y=x+6y+-4

Solve Linear Systems by Substitution - 2x+5y=-9 x=2y

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution - y=-5x-4 -10x-2y=8

Systems of Linear Equations in Three Variables 1 Verify the Solution of a System of Linear Equations in Three Variables - (4,-5,-4) 4x+2y+z=2 5x-4y-z=44 3x+y+4z=-9

Solve Linear Systems by Substitution - y=x-7 y=x+11

Graph the inequality. - y≤−5y \leq - 5y≤−5

Systems of Linear Equations in Three Variables 1 Verify the Solution of a System of Linear Equations in Three Variables - (-1,-3,5) x-y+z=7 x+y+z=1 x+y-z=-9

Equations and Inequalities

Functions and Graphs

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Matrices and Determinants

Conic Sections and Analytic Geometry

Sequences, Induction, and Probability

Prerequisites: Fundamental Concepts of Algebra

Filters

Solve Linear Systems by Substitution - -5x+2y =72 x-4y =0 $x - 4 y = 0$

Write the partial fraction decomposition of the rational expression. - $\frac { x } { ( x - 3 ) ( x - 4 ) }$

Graph a Nonlinear Inequality in Two Variables - $y \leq 2^{x}$ $Graph a Nonlinear Inequality in Two Variables - y \leq 2^{x}$

Solve Nonlinear Systems By Substitution - $x y = 2$ $x + y = 3$ $x + y = 3$

Use Linear Programming to Solve Problems -Objective Function: $\mathrm { z } = \mathrm { x } + 9 \mathrm { y }$ Find maximum.

Solve Problems Using Systems of Linear Equations -Use the revenue and cost functions to write the profit function from producing and selling $x$ binoculars.

Graph the inequality. - $y \leq - 5$ $Graph the inequality. - y \leq - 5$