Identify Systems That Do Not Have Exactly One Ordered-Pair Solution -\[\begin{array} { l } \frac { x } { 7 } + \frac { y } { 14 } = 1 \\ \frac { x } { 2 } - \frac { y } { 4 } = 0 \end{array}\]

A) $\left\{ \left\{ \frac { 7 } { 2 } , 7 \right) \right\}$ B) $\left\{ \left( 7 , \frac { 7 } { 2 } \right\} \right\}$ C) $\left\{ ( x , y ) \mid \frac { x } { 7 } + \frac { y } { 14 } = 1 \right\}$ D) $\varnothing$ A) $\left\{ \left\{ \frac { 7 } { 2 } , 7 \right) \right\}$ B) $\left\{ \left( 7 , \frac { 7 } { 2 } \right\} \right\}$ C) $\left\{ ( x , y ) \mid \frac { x } { 7 } + \frac { y } { 14 } = 1 \right\}$ D) $\varnothing$

Solve Nonlinear Systems By Addition -\[\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 11 \\ x ^ { 2 } + y ^ { 2 } = 25 \end{array}\]

A) $\{ ( 3 \sqrt { 2 } , \sqrt { 7 } ) , ( - 3 \sqrt { 2 } , \sqrt { 7 } ) , ( 3 \sqrt { 2 } , - \sqrt { 7 } ) , ( - 3 \sqrt { 2 } , - \sqrt { 7 } ) \}$ B) $\{ ( 0,0 ) \}$ C) $\{ ( 3 \sqrt { 2 } , \sqrt { 7 } ) , ( - 3 \sqrt { 2 } , - \sqrt { 7 } ) \}$ D) $\{ ( 3 \sqrt { 2 } , \sqrt { 7 } ) , ( - 3 \sqrt { 2 } , \sqrt { 7 } ) \}$ A) $\{ ( 3 \sqrt { 2 } , \sqrt { 7 } ) , ( - 3 \sqrt { 2 } , \sqrt { 7 } ) , ( 3 \sqrt { 2 } , - \sqrt { 7 } ) , ( - 3 \sqrt { 2 } , - \sqrt { 7 } ) \}$ B) $\{ ( 0,0 ) \}$ C) $\{ ( 3 \sqrt { 2 } , \sqrt { 7 } ) , ( - 3 \sqrt { 2 } , - \sqrt { 7 } ) \}$ D) $\{ ( 3 \sqrt { 2 } , \sqrt { 7 } ) , ( - 3 \sqrt { 2 } , \sqrt { 7 } ) \}$

Solve Linear Systems by Addition -\[\begin{array} { l } 8 x + 6 y = 28 \\ 4 x - 2 y = 24 \end{array}\]

A) $\{ ( 5 , - 2 ) \}$ B) $\{ ( 4 , - 1 ) \}$ C) $\{ ( 5 , - 1 ) \}$ D) $\varnothing$ A) $\{ ( 5 , - 2 ) \}$ B) $\{ ( 4 , - 1 ) \}$ C) $\{ ( 5 , - 1 ) \}$ D) $\varnothing$

Determine whether the given ordered pair is a solution of the system. -\[\begin{array} { l } ( - 3,3 ) \\ 4 x - y = - 9 \\ 2 x + 4 y = 6 \end{array}\]

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

Solve Nonlinear Systems By Substitution -\[\begin{array} { l } x y = 90 \\ x ^ { 2 } + y ^ { 2 } = 181 \end{array}\]

A) $\{ ( 9,10 ) , ( - 9 , - 10 ) , ( 10,9 ) , ( - 10 , - 9 ) \}$ B) $\{ ( 9,10 ) , ( - 9 , - 10 ) , ( 9 , - 10 ) , ( - 9,10 ) \}$ C) $\{ ( 9,10 ) , ( 10,9 ) , ( 9 , - 10 ) , ( 10 , - 9 ) \}$ D) $\{ ( - 9 , - 10 ) , ( - 10 , - 9 ) , ( - 9,10 ) , ( - 10,9 ) \}$ A) $\{ ( 9,10 ) , ( - 9 , - 10 ) , ( 10,9 ) , ( - 10 , - 9 ) \}$ B) $\{ ( 9,10 ) , ( - 9 , - 10 ) , ( 9 , - 10 ) , ( - 9,10 ) \}$ C) $\{ ( 9,10 ) , ( 10,9 ) , ( 9 , - 10 ) , ( 10 , - 9 ) \}$ D) $\{ ( - 9 , - 10 ) , ( - 10 , - 9 ) , ( - 9,10 ) , ( - 10,9 ) \}$

Solve Linear Systems by Addition -\[\begin{array} { l } - 3 x + y = - 2 \\ 3 x + 4 y = 17 \end{array}\]

A) $\left\{ \left( \frac { 5 } { 3 } , 3 \right) \right\}$ B) $\{ ( 1,8 ) \}$ C) $\left\{ \left( 4 , \frac { 5 } { 4 } \right) \right\}$ D) $\left\{ \left( \frac { 8 } { 3 } , 6 \right) \right\}$ A) $\left\{ \left( \frac { 5 } { 3 } , 3 \right) \right\}$ B) $\{ ( 1,8 ) \}$ C) $\left\{ \left( 4 , \frac { 5 } { 4 } \right) \right\}$ D) $\left\{ \left( \frac { 8 } { 3 } , 6 \right) \right\}$

Solve Linear Systems by Substitution -\[\begin{array} { c } x + 8 y = - 49 \\ - 4 x + 7 y = - 77 \end{array}\]

A) $\{ ( 7 , - 7 ) \}$ B) $\{ ( 6 , - 6 ) \}$ C) $\{ ( - 7 , - 6 ) \}$ D) $\varnothing$ A) $\{ ( 7 , - 7 ) \}$ B) $\{ ( 6 , - 6 ) \}$ C) $\{ ( - 7 , - 6 ) \}$ D) $\varnothing$

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

A) $\{ ( 0,1 ) \}$ B) $\{ ( 5 , - 4 ) \}$ C) $\{ ( x , y ) \mid x + y = 5 \}$ D) $\varnothing$ A) $\{ ( 0,1 ) \}$ B) $\{ ( 5 , - 4 ) \}$ C) $\{ ( x , y ) \mid x + y = 5 \}$ D) $\varnothing$

Exam 8: Systems of Equations and Inequalities

Solve Problems Using Systems of Linear Equations -One number is 8 less than a second number. Twice the second number is 61 more than 5 times the first. Find the two numbers.

(Multiple Choice)

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Question 141

Graph the solution set of the system of inequalities or indicate that the system has no solution. - y\geq y\leq8

(Multiple Choice)

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Question 142

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution - +=1 -=0

(Multiple Choice)

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Question 143

Graph the solution set of the system of inequalities or indicate that the system has no solution. -

(Multiple Choice)

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Question 144

Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor - $\frac { 6 x + 3 } { ( x + 4 ) \left( x ^ { 2 } + x + 5 \right) ^ { 2 } }$

(Multiple Choice)

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Question 145

Use Linear Programming to Solve Problems -A vineyard produces two special wines, a white and a red. A bottle of the white wine requires 14 pounds of grapes and 1 hour of processing time. A bottle of red wine requires 25 pounds of grapes and 2 hours of processing time. The vineyard has on hand 2,198 pounds of grapes and can allot 160 hours of processing time to the production of these wines. A bottle of the white wine sells for $\$ 11.00$ , while a bottle of the red wine sells for $\$ 20.00$ . How many bottles of each type should the vineyard produce in order to maximize gross sales?

(Multiple Choice)

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Question 146

Solve Nonlinear Systems By Addition - -=11 +=25

(Multiple Choice)

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Question 147

Solve Linear Systems by Addition - 8x+6y=28 4x-2y=24

(Multiple Choice)

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Question 148

Determine whether the given ordered pair is a solution of the system. - (-3,3) 4x-y=-9 2x+4y=6

(Multiple Choice)

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Question 149

Write the partial fraction decomposition of the rational expression. - $\frac { 4 x ^ { 3 } + 2 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$

(Multiple Choice)

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Question 150

Solve Nonlinear Systems By Substitution - xy=90 +=181

(Multiple Choice)

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Question 151

Systems of Linear Equations in Three Variables 1 Verify the Solution of a System of Linear Equations in Three Variables - (-2,-5,0) x-y+2z=1 4x+z=-2 x+2y+z=-12

(Multiple Choice)

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Question 152

Solve Linear Systems by Addition - -3x+y=-2 3x+4y=17

(Multiple Choice)

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Question 153

Graph the solution set of the system of inequalities or indicate that the system has no solution. - 3x-y\leq-6 x+3y\geq6 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{l} 3 x-y \leq-6 \\ x+3 y \geq 6 \end{array}$

(Multiple Choice)

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Question 154

Solve Problems Using Systems of Linear Equations -A bank teller has $48 \$ 20$ and $\$ 10$ bills in her cash drawer. The value of the bills is $\$ 640$ . How many $\$ 20$ bills are there?

(Multiple Choice)

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Question 155

Solve Systems of Linear Equations in Three Variables - $28 + 4 z = 4 ( x - 3 y )$ $2 ( x - 2 y - z ) = 10$ $- 3 ( 2 x + y ) + 2 z = - 12$

(Multiple Choice)

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Question 156

Solve Problems Using Systems of Nonlinear Equations -The difference between the squares of two numbers is 108 . Twice the square of the second number subtracted from the square of the first number is 72 . Find the numbers.

(Multiple Choice)

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Question 157

Solve Linear Systems by Substitution - x+8y=-49 -4x+7y=-77

(Multiple Choice)

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Question 158

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

(Multiple Choice)

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Question 159

Solve Problems Using Systems of Nonlinear Equations -A person at the top of a 600 foot tall building drops a yellow ball. The height of the yellow ball is given by the equation $h = - 16 t ^ { 2 } + 600$ where $h$ is measured in feet and $t$ is the number of seconds since the yellow ball was dropped. A second person, in the same building but on a lower floor that is 264 feet from the ground, drops a white ball 3 seconds after the yellow ball was dropped. The height of the white ball is given by the equation $h = - 16 ( t - 3 ) ^ { 2 } + 264$ where $h$ is measured in feet and $t$ is the number of seconds since the yellow ball was dropped. Find the time that the balls are the same distance above the ground and find this distance.

(Multiple Choice)

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Question 160

Showing 141 - 160 of 288

Solve Problems Using Systems of Linear Equations -One number is 8 less than a second number. Twice the second number is 61 more than 5 times the first. Find the two numbers.

Graph the solution set of the system of inequalities or indicate that the system has no solution. - y\geq y\leq8

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution - +=1 -=0

Graph the solution set of the system of inequalities or indicate that the system has no solution. -

Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor - $\frac { 6 x + 3 } { ( x + 4 ) \left( x ^ { 2 } + x + 5 \right) ^ { 2 } }$

Solve Nonlinear Systems By Addition - -=11 +=25

Solve Linear Systems by Addition - 8x+6y=28 4x-2y=24

Determine whether the given ordered pair is a solution of the system. - (-3,3) 4x-y=-9 2x+4y=6

Write the partial fraction decomposition of the rational expression. - $\frac { 4 x ^ { 3 } + 2 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$

Solve Nonlinear Systems By Substitution - xy=90 +=181

Systems of Linear Equations in Three Variables 1 Verify the Solution of a System of Linear Equations in Three Variables - (-2,-5,0) x-y+2z=1 4x+z=-2 x+2y+z=-12

Solve Linear Systems by Addition - -3x+y=-2 3x+4y=17

Graph the solution set of the system of inequalities or indicate that the system has no solution. - 3x-y\leq-6 x+3y\geq6 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{l} 3 x-y \leq-6 \\ x+3 y \geq 6 \end{array}$

Solve Problems Using Systems of Linear Equations -A bank teller has $48 \$ 20$ and $\$ 10$ bills in her cash drawer. The value of the bills is $\$ 640$ . How many $\$ 20$ bills are there?

Solve Systems of Linear Equations in Three Variables - $28 + 4 z = 4 ( x - 3 y )$ $2 ( x - 2 y - z ) = 10$ $- 3 ( 2 x + y ) + 2 z = - 12$

Solve Problems Using Systems of Nonlinear Equations -The difference between the squares of two numbers is 108 . Twice the square of the second number subtracted from the square of the first number is 72 . Find the numbers.

Solve Linear Systems by Substitution - x+8y=-49 -4x+7y=-77

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

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 Problems Using Systems of Linear Equations -One number is 8 less than a second number. Twice the second number is 61 more than 5 times the first. Find the two numbers.

Graph the solution set of the system of inequalities or indicate that the system has no solution. - y\geq y\leq8

Identify Systems That Do Not Have Exactly One Ordered-Pair Solution - +=1 -=0

Graph the solution set of the system of inequalities or indicate that the system has no solution. -

Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor - 6x+3(x+4)(x2+x+5)2\frac { 6 x + 3 } { ( x + 4 ) \left( x ^ { 2 } + x + 5 \right) ^ { 2 } }(x+4)(x2+x+5)26x+3​

Solve Nonlinear Systems By Addition - -=11 +=25

Solve Linear Systems by Addition - 8x+6y=28 4x-2y=24

Determine whether the given ordered pair is a solution of the system. - (-3,3) 4x-y=-9 2x+4y=6

Write the partial fraction decomposition of the rational expression. - 4x3+2x2(x2+5)2\frac { 4 x ^ { 3 } + 2 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }(x2+5)24x3+2x2​

Solve Nonlinear Systems By Substitution - xy=90 +=181

Systems of Linear Equations in Three Variables 1 Verify the Solution of a System of Linear Equations in Three Variables - (-2,-5,0) x-y+2z=1 4x+z=-2 x+2y+z=-12

Solve Linear Systems by Addition - -3x+y=-2 3x+4y=17

Graph the solution set of the system of inequalities or indicate that the system has no solution. - 3x-y\leq-6 x+3y\geq6

Solve Problems Using Systems of Linear Equations -A bank teller has 48$2048 \$ 2048$20 and $10\$ 10$10 bills in her cash drawer. The value of the bills is $640\$ 640$640 . How many $20\$ 20$20 bills are there?

Solve Systems of Linear Equations in Three Variables - 28+4z=4(x−3y)28 + 4 z = 4 ( x - 3 y )28+4z=4(x−3y) 2(x−2y−z)=102 ( x - 2 y - z ) = 102(x−2y−z)=10 −3(2x+y)+2z=−12- 3 ( 2 x + y ) + 2 z = - 12−3(2x+y)+2z=−12

Solve Problems Using Systems of Nonlinear Equations -The difference between the squares of two numbers is 108 . Twice the square of the second number subtracted from the square of the first number is 72 . Find the numbers.

Solve Linear Systems by Substitution - x+8y=-49 -4x+7y=-77

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

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

Decompose P/Q, Where Q Has a Prime, Repeated Quadratic Factor - $\frac { 6 x + 3 } { ( x + 4 ) \left( x ^ { 2 } + x + 5 \right) ^ { 2 } }$

Write the partial fraction decomposition of the rational expression. - $\frac { 4 x ^ { 3 } + 2 x ^ { 2 } } { \left( x ^ { 2 } + 5 \right) ^ { 2 } }$

Graph the solution set of the system of inequalities or indicate that the system has no solution. - 3x-y\leq-6 x+3y\geq6 $Graph the solution set of the system of inequalities or indicate that the system has no solution. - \begin{array}{l} 3 x-y \leq-6 \\ x+3 y \geq 6 \end{array}$

Solve Problems Using Systems of Linear Equations -A bank teller has $48 \$ 20$ and $\$ 10$ bills in her cash drawer. The value of the bills is $\$ 640$ . How many $\$ 20$ bills are there?

Solve Systems of Linear Equations in Three Variables - $28 + 4 z = 4 ( x - 3 y )$ $2 ( x - 2 y - z ) = 10$ $- 3 ( 2 x + y ) + 2 z = - 12$