Determine whether the system is inconsistent, dependent, or neither. -\[\begin{array} { l } 2 x + y = - 1 \\ 3 y - 4 z = - 25 \\ 2 x + 4 y - 4 z = - 26 \end{array}\]

A) dependent B) inconsistent C) neither A) dependent B) inconsistent C) neither

Solve the system of equations using the addition method. -\[\begin{array} { l } 3 x + 5 y + z = 1 \\ 5 x - 2 y - z = 33 \\ 5 x + y + 3 z = 11 \end{array}\]

A) (-2, 5, -4) B) (5, -4, -2) C) (5, -2, -4) D) (-4, -2, 5) A) (-2, 5, -4) B) (5, -4, -2) C) (5, -2, -4) D) (-4, -2, 5)

Find the solution to the system of equations by substitution. -\[\begin{array} { l } x + 2 y = 2 \\ 7 x - 6 y = - 6 \end{array}\]

A) (1, 0) B) (0, 0) C) (1, 1) D) (0, 1) A) (1, 0) B) (0, 0) C) (1, 1) D) (0, 1)

Solve the system of equations using the addition method. -\[\begin{array} { l } x + y = - 2 \\ 2 x + 2 y + 4 z = 16 \\ x - z = - 9 \end{array}\]

A) (-4, 2, 5) B) (5, 2, -4) C) (5, -4, 2) D) (-4, 5, 2) A) (-4, 2, 5) B) (5, 2, -4) C) (5, -4, 2) D) (-4, 5, 2)

Solve the system of equations using the addition method. -\[\begin{array} { c } 4 x - 4 y = 2 \\ - 8 x + 8 y = - 8 \end{array}\]

A) (4, 2) B) (2, 4) C) $\left( \frac { 2 } { 3 } , - \frac { 2 } { 3 } \right)$ D) no solution A) (4, 2) B) (2, 4) C) $\left( \frac { 2 } { 3 } , - \frac { 2 } { 3 } \right)$ D) no solution

Solve the system of equations using the addition method. -\[\begin{aligned} 2 x + 8 y & = - 42 \\ 12 x + 2 y & = 70 \end{aligned}\]

A) (-2, 7) B) (12, -12) C) (-7, 7) D) (7, -7) A) (-2, 7) B) (12, -12) C) (-7, 7) D) (7, -7)

Solve the system of equations using the addition method. -\[\begin{array} { l } x - y + z = - 3 \\ x + y + z = - 5 \\ x + y - z = 5 \end{array}\]

A) (1, -5, -1) B) (-5, 1, -1) C) (-1, -5, 1) D) (1, -1, -5) A) (1, -5, -1) B) (-5, 1, -1) C) (-1, -5, 1) D) (1, -1, -5)

Solve the system using determinants. -\[\begin{array} { l } 4 x + 3 y - 2 z = 7 \\ - 3 y + 2 z = 5 \\ - 4 x + 3 z = 0 \end{array}\]

A) (3, -1, -4) B) (3, 1, 4) C) (4, -1, 4) D) (1, 4, 1) A) (3, -1, -4) B) (3, 1, 4) C) (4, -1, 4) D) (1, 4, 1)

Solve the system using determinants. -\[\begin{array} { l } 3 x + 4 y - z = 42 \\ x - 4 y + 5 z = - 2 \\ 2 x + y + z = 23 \end{array}\]

A) (4, 9, 6) B) (4, -9, -6) C) (5, 7, 6) D) (9, 6, 9) A) (4, 9, 6) B) (4, -9, -6) C) (5, 7, 6) D) (9, 6, 9)

Find the solution to the system of equations by substitution. -\[\begin{array} { c } 7 x + y = 0 \\ - 7 x + y = - 14 \end{array}\]

A) (1, 14) B) (-1, 7) C) (1, -7) D) (-1, -7) A) (1, 14) B) (-1, 7) C) (1, -7) D) (-1, -7)

Exam 4: Systems of Equations and Inequalities

Determine the solution to the system of inequalities. - |x|<5 |y|<3 $Determine the solution to the system of inequalities. - \begin{array} { l } | x | < 5 \\ | y | < 3 \end{array}$

(Multiple Choice)

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Question 21

Evaluate the determinant. - $\left| \begin{array} { l l l } 6 & 0 & 0 \\5 & 3 & 2 \\4 & 3 & 8\end{array} \right|$

(Multiple Choice)

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Question 22

Determine whether the system is inconsistent, dependent, or neither. - 2x+y=-1 3y-4z=-25 2x+4y-4z=-26

(Multiple Choice)

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Question 23

Solve the system of equations using the addition method. - 3x+5y+z=1 5x-2y-z=33 5x+y+3z=11

(Multiple Choice)

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Question 24

Find the solution to the system of equations by substitution. - x+2y=2 7x-6y=-6

(Multiple Choice)

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Question 25

Solve the problem. -Three planes intersect as illustrated below. Is the system consistent, inconsistent, or dependent?

(Multiple Choice)

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Question 26

Solve the system of equations using the addition method. - x+y=-2 2x+2y+4z=16 x-z=-9

(Multiple Choice)

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Question 27

Solve the system of equations using the addition method. - 4x-4y=2 -8x+8y=-8

(Multiple Choice)

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Question 28

Determine the solution to the system of inequalities. - x\geq0 y\geq0 x+y\leq6 10x+5y\leq50 5x+10y\leq50 $Determine the solution to the system of inequalities. - \begin{array} { l } x \geq 0 \\ y \geq 0 \\ x + y \leq 6 \\ 10 x + 5 y \leq 50 \\ 5 x + 10 y \leq 50 \\ \end{array}$

(Multiple Choice)

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Question 29

Solve the system of equations using the addition method. - 2x+8y =-42 12x+2y =70

(Multiple Choice)

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Question 30

The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells binoculars. Use the information in the figure to answer the question. -The company's cost for manufacturing x binoculars is determined by the equation y = x + 1500. The revenue for selling x binoculars is determined by the equation y = 3x. The break-even point is the point at which the cost And revenue equations intersect. At the break-even point both cost and revenue are what?

(Multiple Choice)

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Question 31

Solve the problem. -A chemist needs 140 milliliters of a 70% solution but has only 66% and 94% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

(Multiple Choice)

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Question 32

Solve the system of equations using the addition method. - x-y+z=-3 x+y+z=-5 x+y-z=5

(Multiple Choice)

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Question 33

Solve the system using determinants. - 4x+3y-2z=7 -3y+2z=5 -4x+3z=0

(Multiple Choice)

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Question 34

Solve the system using determinants. - 3x+4y-z=42 x-4y+5z=-2 2x+y+z=23

(Multiple Choice)

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Question 35

Evaluate the determinant. - $\left| \begin{array} { l l l } 1 & 5 & 5 \\3 & 6 & 2 \\5 & 6 & 5\end{array} \right|$

(Multiple Choice)

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Question 36

Find the solution to the system of equations by substitution. - 7x+y=0 -7x+y=-14

(Multiple Choice)

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Question 37

Solve the problem. -A ceramics workshop makes serving bowls, platters, and bread baskets to sell at its Winter Festival. A serving bowl takes 3 hours to prepare, 2 hours to paint, and 8 hours to fire. A platter takes 15 hours to prepare, 3 hours To paint, and 4 hours to fire. A bread basket takes 4 hours to prepare, 14 hours to paint, and 7 hours to fire. If the Workshop has 101 hours for prep time, 55 hours for painting, and 82 hours for firing, how many of each can be Made?

(Multiple Choice)

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Question 38

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations is consistent, inconsistent, or dependent. Also indicate whether the system has exactly one solution, no solution, or an infinite number of solutions. - 2x-6y=5 -8x+24y=-15

(Multiple Choice)

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Question 39

Determine the solution to the system of inequalities. - x\geq0 y\geq0 x+y\leq4 6x+2y\leq12 $Determine the solution to the system of inequalities. - \begin{array} { l } x \geq 0 \\ y \geq 0 \\ x + y \leq 4 \\ 6 x + 2 y \leq 12 \\ \end{array}$

(Multiple Choice)

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Question 40

Showing 21 - 40 of 116

Determine the solution to the system of inequalities. - |x|<5 |y|<3 $Determine the solution to the system of inequalities. - \begin{array} { l } | x | < 5 \\ | y | < 3 \end{array}$

Evaluate the determinant. - $\left| \begin{array} { l l l } 6 & 0 & 0 \\5 & 3 & 2 \\4 & 3 & 8\end{array} \right|$

Determine whether the system is inconsistent, dependent, or neither. - 2x+y=-1 3y-4z=-25 2x+4y-4z=-26

Solve the system of equations using the addition method. - 3x+5y+z=1 5x-2y-z=33 5x+y+3z=11

Find the solution to the system of equations by substitution. - x+2y=2 7x-6y=-6

Solve the problem. -Three planes intersect as illustrated below. Is the system consistent, inconsistent, or dependent?

Solve the system of equations using the addition method. - x+y=-2 2x+2y+4z=16 x-z=-9

Solve the system of equations using the addition method. - 4x-4y=2 -8x+8y=-8

Determine the solution to the system of inequalities. - x\geq0 y\geq0 x+y\leq6 10x+5y\leq50 5x+10y\leq50 $Determine the solution to the system of inequalities. - \begin{array} { l } x \geq 0 \\ y \geq 0 \\ x + y \leq 6 \\ 10 x + 5 y \leq 50 \\ 5 x + 10 y \leq 50 \\ \end{array}$

Solve the system of equations using the addition method. - 2x+8y =-42 12x+2y =70

Solve the problem. -A chemist needs 140 milliliters of a 70% solution but has only 66% and 94% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

Solve the system of equations using the addition method. - x-y+z=-3 x+y+z=-5 x+y-z=5

Solve the system using determinants. - 4x+3y-2z=7 -3y+2z=5 -4x+3z=0

Solve the system using determinants. - 3x+4y-z=42 x-4y+5z=-2 2x+y+z=23

Evaluate the determinant. - $\left| \begin{array} { l l l } 1 & 5 & 5 \\3 & 6 & 2 \\5 & 6 & 5\end{array} \right|$

Find the solution to the system of equations by substitution. - 7x+y=0 -7x+y=-14

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations is consistent, inconsistent, or dependent. Also indicate whether the system has exactly one solution, no solution, or an infinite number of solutions. - 2x-6y=5 -8x+24y=-15

Determine the solution to the system of inequalities. - x\geq0 y\geq0 x+y\leq4 6x+2y\leq12 $Determine the solution to the system of inequalities. - \begin{array} { l } x \geq 0 \\ y \geq 0 \\ x + y \leq 4 \\ 6 x + 2 y \leq 12 \\ \end{array}$

Basic Concepts

Equations and Inequalities

Graphs and Functions

Polynomials and Polynomial Functions

Rational Expressions and Equations

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Characteristics of Functions and Their Graphs

Conic Sections

Sequences, Series, and Probability

Filters

Exam 4: Systems of Equations and Inequalities

Determine the solution to the system of inequalities. - |x|<5 |y|<3

Evaluate the determinant. - ∣600532438∣\left| \begin{array} { l l l } 6 & 0 & 0 \\5 & 3 & 2 \\4 & 3 & 8\end{array} \right|​654​033​028​​

Determine whether the system is inconsistent, dependent, or neither. - 2x+y=-1 3y-4z=-25 2x+4y-4z=-26

Solve the system of equations using the addition method. - 3x+5y+z=1 5x-2y-z=33 5x+y+3z=11

Find the solution to the system of equations by substitution. - x+2y=2 7x-6y=-6

Solve the problem. -Three planes intersect as illustrated below. Is the system consistent, inconsistent, or dependent?

Solve the system of equations using the addition method. - x+y=-2 2x+2y+4z=16 x-z=-9

Solve the system of equations using the addition method. - 4x-4y=2 -8x+8y=-8

Determine the solution to the system of inequalities. - x\geq0 y\geq0 x+y\leq6 10x+5y\leq50 5x+10y\leq50

Solve the system of equations using the addition method. - 2x+8y =-42 12x+2y =70

Solve the problem. -A chemist needs 140 milliliters of a 70% solution but has only 66% and 94% solutions available. Find how many milliliters of each that should be mixed to get the desired solution.

Solve the system of equations using the addition method. - x-y+z=-3 x+y+z=-5 x+y-z=5

Solve the system using determinants. - 4x+3y-2z=7 -3y+2z=5 -4x+3z=0

Solve the system using determinants. - 3x+4y-z=42 x-4y+5z=-2 2x+y+z=23

Evaluate the determinant. - ∣155362565∣\left| \begin{array} { l l l } 1 & 5 & 5 \\3 & 6 & 2 \\5 & 6 & 5\end{array} \right|​135​566​525​​

Find the solution to the system of equations by substitution. - 7x+y=0 -7x+y=-14

Write each equation in slope-intercept form. Without graphing the equations, state whether the system of equations is consistent, inconsistent, or dependent. Also indicate whether the system has exactly one solution, no solution, or an infinite number of solutions. - 2x-6y=5 -8x+24y=-15

Determine the solution to the system of inequalities. - x\geq0 y\geq0 x+y\leq4 6x+2y\leq12

Basic Concepts

Equations and Inequalities

Graphs and Functions

Polynomials and Polynomial Functions

Rational Expressions and Equations

Roots, Radicals, and Complex Numbers

Quadratic Functions

Exponential and Logarithmic Functions

Characteristics of Functions and Their Graphs

Conic Sections

Sequences, Series, and Probability

Filters

Determine the solution to the system of inequalities. - |x|<5 |y|<3 $Determine the solution to the system of inequalities. - \begin{array} { l } | x | < 5 \\ | y | < 3 \end{array}$

Evaluate the determinant. - $\left| \begin{array} { l l l } 6 & 0 & 0 \\5 & 3 & 2 \\4 & 3 & 8\end{array} \right|$

Determine the solution to the system of inequalities. - x\geq0 y\geq0 x+y\leq6 10x+5y\leq50 5x+10y\leq50 $Determine the solution to the system of inequalities. - \begin{array} { l } x \geq 0 \\ y \geq 0 \\ x + y \leq 6 \\ 10 x + 5 y \leq 50 \\ 5 x + 10 y \leq 50 \\ \end{array}$

Evaluate the determinant. - $\left| \begin{array} { l l l } 1 & 5 & 5 \\3 & 6 & 2 \\5 & 6 & 5\end{array} \right|$

Determine the solution to the system of inequalities. - x\geq0 y\geq0 x+y\leq4 6x+2y\leq12 $Determine the solution to the system of inequalities. - \begin{array} { l } x \geq 0 \\ y \geq 0 \\ x + y \leq 4 \\ 6 x + 2 y \leq 12 \\ \end{array}$