Question 1

The elimination-by-addition method involves replacing systems of equations with equivalent systems.

Accepted Answer

A) True 
 B)False

Question 2

Match the following inequalities with the corresponding graphs.
-

Accepted Answer

A)  $6 x + 7 y  5$ 
A)  $6 x + 7 y  5$

Question 3

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. $m = - \frac { 5 } { 2 } , b = 0$

Accepted Answer

The answer of Find the equation of the line with...

Question 4

Solve the system by graphing if possible. $$\left\{ \begin{array} { l } 
x - y = 8 \
2 x + y = 4
\end{array} \right.$$

Accepted Answer

A)    $x = 4 , y = 4$ 
B)    $x = 4 , y = - 4$ 
C)    $x = - 4 , y = - 4$ 
D)    inconsistent system 
E)    dependent system 
A)    $x = 4 , y = 4$ 
B)    $x = 4 , y = - 4$ 
C)    $x = - 4 , y = - 4$ 
D)    inconsistent system 
E)    dependent system

Question 5

Change the equation to slope-intercept form 4 x - 11 y = 1.

Accepted Answer

A)  $y = \frac { 11 } { 4 } - \frac { 1 } { 11 } x$ 
B)  $x = \frac { 11 } { 4 } y - \frac { 1 } { 11 }$ 
C)  $y = \frac { 4 } { 11 } x - \frac { 1 } { 11 }$ 
A)  $y = \frac { 11 } { 4 } - \frac { 1 } { 11 } x$ 
B)  $x = \frac { 11 } { 4 } y - \frac { 1 } { 11 }$ 
C)  $y = \frac { 4 } { 11 } x - \frac { 1 } { 11 }$

Question 6

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
y = 2 x + 25 \
y = - 3 x - 10
\end{array} \right)$$

Accepted Answer

The answer of Solve each system by using either the...

Question 7

Choose the equation for the table. X Y 1 -5 2 -10 3 -15 4 -20

Accepted Answer

A)  y + 5 x = 0 
B)  $-$ y $-$ 6 x = 0 
C)  y $-$ 5 x = 0 
D)  none of these 
A)  y + 5 x = 0 
B)  $-$ y $-$ 6 x = 0 
C)  y $-$ 5 x = 0 
D)  none of these

Question 8

Find the equation of the line that contains the given point and has the given slope. Express equation in the form $A x + B y = C$ , where A , B , and C are integers. ( 1, 0), m = 5

Accepted Answer

The answer of Find the equation of the line that...

Question 9

The slope of the line determined by the equation $2 x - 5 y = 8$ is $- \frac { 5 } { 2 }$ .

Accepted Answer

A) True 
 B)False

Question 10

Solve the system using the elimination-by-addition method. $$\left( \begin{array} { c } 
x + 6 y = - 9 \
7 x - 6 y = 81
\end{array} \right)$$

Accepted Answer

A)  ( 16, 4 ) 
B)  ( 8, -4 ) 
C)  ( 9, -3 ) 
D)  ( 21, 9 ) 
E)  ( 4, -8 ) 
A)  ( 16, 4 ) 
B)  ( 8, -4 ) 
C)  ( 9, -3 ) 
D)  ( 21, 9 ) 
E)  ( 4, -8 )

Question 11

Use the graphing method to solve the system. $$\left( \begin{array} { l } 
y = 2 x \
3 x - 2 y = - 4
\end{array} \right)$$

Accepted Answer

A)  $( 0,0 )$ 
B)  $( 2,4 )$ 
C)  $( 3,6 )$ 
D)  $( 4,8 )$ 
E)  $( 1,2 )$ 
A)  $( 0,0 )$ 
B)  $( 2,4 )$ 
C)  $( 3,6 )$ 
D)  $( 4,8 )$ 
E)  $( 1,2 )$

Question 12

Find the slope of the line determined by this pair of points. (-1, 1), (6, -9)

Accepted Answer

A)  $- \frac { 7 } { 10 }$ 
B)  $- \frac { 10 } { 7 }$ 
C)  $\frac { 10 } { 7 }$ 
D)  $\frac { 7 } { 10 }$ 
E)  $- 10$ 
A)  $- \frac { 7 } { 10 }$ 
B)  $- \frac { 10 } { 7 }$ 
C)  $\frac { 10 } { 7 }$ 
D)  $\frac { 7 } { 10 }$ 
E)  $- 10$

Question 13

Solve the problem by setting up and solving a system of two linear equations in two variables. Use either the elimination-by-addition or the substitution method to solve the system. Suppose that a certain motel rents double rooms at $38 per day and single rooms at $24 per day. If a total of 75 rooms was rented one day for $2,318, how many of single rooms were rented?

Accepted Answer

A)  37 rooms 
B)  75 rooms 
C)  43 rooms 
D)  38 rooms 
E)  none of these 
A)  37 rooms 
B)  75 rooms 
C)  43 rooms 
D)  38 rooms 
E)  none of these

Question 14

Find the equation of the line with the given slope and y -intercept. Express the final equation in slope-intercept form. $m = - 7 , b = \frac { 9 } { 7 }$

Accepted Answer

A)  $y = - 7 x - \frac { 9 } { 7 }$ 
B)  $y = 7 x - \frac { 9 } { 7 }$ 
C)  $y = 7 x + \frac { 9 } { 7 }$ 
D)  $y = \frac { 9 } { 7 } x - 7$ 
E)  $y = - 7 x + \frac { 9 } { 7 }$ 
A)  $y = - 7 x - \frac { 9 } { 7 }$ 
B)  $y = 7 x - \frac { 9 } { 7 }$ 
C)  $y = 7 x + \frac { 9 } { 7 }$ 
D)  $y = \frac { 9 } { 7 } x - 7$ 
E)  $y = - 7 x + \frac { 9 } { 7 }$

Question 15

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { c } 
y \geq 4 x \
y < \frac { 1 } { 5 } x
\end{array} \right)$

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

The solution for systems of linear inequalities is infinitely many solutions.

Accepted Answer

A) True 
 B)False

Question 17

Find the slope of the line y = $-$ 5 x $-$ 9 by finding the coordinates of two points on it.

Accepted Answer

To find the slope of the line given by t

Question 18

Solve the problem below by setting up and solving a system of two linear equations in two variables. A 14% salt solution is to be mixed with a 18% salt solution to produce 10 gallons of a 16.8% salt solution. How many gallons of the 14% solution and how many gallons of the 18% solution will be needed?

Accepted Answer

A)  7 gallons of 14% and 11 gallons of 18% 
B)  5 gallons of 14% and 9 gallons of 18% 
C)  14 gallons of 14% and 18 gallons of 18% 
D)  3 gallons of 14% and 7 gallons of 18% 
E)  16 gallons of 14% and 20 gallons of 18% 
A)  7 gallons of 14% and 11 gallons of 18% 
B)  5 gallons of 14% and 9 gallons of 18% 
C)  14 gallons of 14% and 18 gallons of 18% 
D)  3 gallons of 14% and 7 gallons of 18% 
E)  16 gallons of 14% and 20 gallons of 18%

Question 19

Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { c } 
y = 4 x - 13 \
5 x - 3 y = 4
\end{array} \right)$$

Accepted Answer

A)  ( 5, 7 ) 
B)  ( 3, 8 ) 
C)  ( 6, 7 ) 
D)  ( 5, 8 ) 
E)  none of the above 
A)  ( 5, 7 ) 
B)  ( 3, 8 ) 
C)  ( 6, 7 ) 
D)  ( 5, 8 ) 
E)  none of the above

Question 20

Use the elimination-by-addition method to solve each system. Match each system with the corresponding solution.
-$( 0 , - 4 )$

Accepted Answer

A)  $\left( \begin{array} { c } 
4 x - 6 y = 14 \
4 x + 2 y = - 10
\end{array} \right)$ 
B)  $\left( \begin{array} { c } 
6 x + 3 y = - 12 \
6 x - 4 y = 16
\end{array} \right)$ 
A)  $\left( \begin{array} { c } 
4 x - 6 y = 14 \
4 x + 2 y = - 10
\end{array} \right)$ 
B)  $\left( \begin{array} { c } 
6 x + 3 y = - 12 \
6 x - 4 y = 16
\end{array} \right)$

The elimination-by-addition method involves replacing systems of equations with equivalent systems.

Match the following inequalities with the corresponding graphs. -

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. $m = - \frac { 5 } { 2 } , b = 0$

Solve the system by graphing if possible. $\left\{ \begin{array} { l } x - y = 8 \\2 x + y = 4\end{array} \right.$

Change the equation to slope-intercept form 4 x - 11 y = 1.

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } y = 2 x + 25 \\y = - 3 x - 10\end{array} \right)$

Choose the equation for the table. X Y 1 -5 2 -10 3 -15 4 -20

Find the equation of the line that contains the given point and has the given slope. Express equation in the form $A x + B y = C$ , where A , B , and C are integers. ( 1, 0), m = 5

The slope of the line determined by the equation $2 x - 5 y = 8$ is $- \frac { 5 } { 2 }$ .

Solve the system using the elimination-by-addition method. $\left( \begin{array} { c } x + 6 y = - 9 \\7 x - 6 y = 81\end{array} \right)$

Use the graphing method to solve the system. $\left( \begin{array} { l } y = 2 x \\3 x - 2 y = - 4\end{array} \right)$

Find the slope of the line determined by this pair of points. (-1, 1), (6, -9)

Find the equation of the line with the given slope and y -intercept. Express the final equation in slope-intercept form. $m = - 7 , b = \frac { 9 } { 7 }$

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { c } y \geq 4 x \\y < \frac { 1 } { 5 } x\end{array} \right)$

The solution for systems of linear inequalities is infinitely many solutions.

Find the slope of the line y = $-$ 5 x $-$ 9 by finding the coordinates of two points on it.

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { c } y = 4 x - 13 \\5 x - 3 y = 4\end{array} \right)$

Use the elimination-by-addition method to solve each system. Match each system with the corresponding solution. - $( 0 , - 4 )$

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 5: Coordinate Geometry and Linear Systems

The elimination-by-addition method involves replacing systems of equations with equivalent systems.

Match the following inequalities with the corresponding graphs. -

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. m=−52,b=0m = - \frac { 5 } { 2 } , b = 0m=−25​,b=0

Solve the system by graphing if possible. {x−y=82x+y=4\left\{ \begin{array} { l } x - y = 8 \\2 x + y = 4\end{array} \right.{x−y=82x+y=4​

Change the equation to slope-intercept form 4 x - 11 y = 1.

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. (y=2x+25y=−3x−10)\left( \begin{array} { c } y = 2 x + 25 \\y = - 3 x - 10\end{array} \right)(y=2x+25y=−3x−10​)

Choose the equation for the table. X Y 1 -5 2 -10 3 -15 4 -20

Find the equation of the line that contains the given point and has the given slope. Express equation in the form Ax+By=CA x + B y = CAx+By=C , where A , B , and C are integers. ( 1, 0), m = 5

The slope of the line determined by the equation 2x−5y=82 x - 5 y = 82x−5y=8 is −52- \frac { 5 } { 2 }−25​ .

Solve the system using the elimination-by-addition method. (x+6y=−97x−6y=81)\left( \begin{array} { c } x + 6 y = - 9 \\7 x - 6 y = 81\end{array} \right)(x+6y=−97x−6y=81​)

Use the graphing method to solve the system. (y=2x3x−2y=−4)\left( \begin{array} { l } y = 2 x \\3 x - 2 y = - 4\end{array} \right)(y=2x3x−2y=−4​)

Find the slope of the line determined by this pair of points. (-1, 1), (6, -9)

Find the equation of the line with the given slope and y -intercept. Express the final equation in slope-intercept form. m=−7,b=97m = - 7 , b = \frac { 9 } { 7 }m=−7,b=79​

Indicate the solution set for the system of linear inequalities by shading the appropriate region. (y≥4xy<15x)\left( \begin{array} { c } y \geq 4 x \\y < \frac { 1 } { 5 } x\end{array} \right)(y≥4xy<51​x​)

The solution for systems of linear inequalities is infinitely many solutions.

Find the slope of the line y = −-− 5 x −-− 9 by finding the coordinates of two points on it.

Decide which of the given ordered pairs is a solution of the given system of equations. (y=4x−135x−3y=4)\left( \begin{array} { c } y = 4 x - 13 \\5 x - 3 y = 4\end{array} \right)(y=4x−135x−3y=4​)

Use the elimination-by-addition method to solve each system. Match each system with the corresponding solution. - (0,−4)( 0 , - 4 )(0,−4)

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Exponents and Radicals

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. $m = - \frac { 5 } { 2 } , b = 0$

Solve the system by graphing if possible. $\left\{ \begin{array} { l } x - y = 8 \\2 x + y = 4\end{array} \right.$

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } y = 2 x + 25 \\y = - 3 x - 10\end{array} \right)$

Find the equation of the line that contains the given point and has the given slope. Express equation in the form $A x + B y = C$ , where A , B , and C are integers. ( 1, 0), m = 5

The slope of the line determined by the equation $2 x - 5 y = 8$ is $- \frac { 5 } { 2 }$ .

Solve the system using the elimination-by-addition method. $\left( \begin{array} { c } x + 6 y = - 9 \\7 x - 6 y = 81\end{array} \right)$

Use the graphing method to solve the system. $\left( \begin{array} { l } y = 2 x \\3 x - 2 y = - 4\end{array} \right)$

Find the equation of the line with the given slope and y -intercept. Express the final equation in slope-intercept form. $m = - 7 , b = \frac { 9 } { 7 }$

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { c } y \geq 4 x \\y < \frac { 1 } { 5 } x\end{array} \right)$

Find the slope of the line y = $-$ 5 x $-$ 9 by finding the coordinates of two points on it.

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { c } y = 4 x - 13 \\5 x - 3 y = 4\end{array} \right)$

Use the elimination-by-addition method to solve each system. Match each system with the corresponding solution. - $( 0 , - 4 )$