Question 1

Use the elimination-by-addition method to solve the system. $$\left( \begin{array} { c } 
x + 6 y = - 34 \
5 x - 6 y = 46
\end{array} \right)$$

Accepted Answer

The answer of Use the elimination-by-addition method to solve the...

Question 2

A blueprint indicates a master bedroom in the shape of a rectangle. If the width is increased by 4 feet and the length remains the same, then the area is increased by 64 square feet. However, if the width is increased by 3 feet and the length is increased by 4 feet, then the area is increased by 116 square feet. Find the dimensions of the room as indicated on the blueprint. Please enter your answer as two numbers, listed from least to greatest, separated by a comma, without the units.

Accepted Answer

The answer of A blueprint indicates a master bedroom in...

Question 3

A line is determined by the pair of points, $( - 3,4 )$ and $( - 3 , - 8 )$ . The slope of the line is

Accepted Answer

A)  negative 
B)  zero 
C)  positive 
D)  undefined 
A)  negative 
B)  zero 
C)  positive 
D)  undefined

Question 4

A line is determined by the pair of points, $( 10,4 )$ and $( 6 , - 4 )$ . The slope of the line is

Accepted Answer

A)  positive 
B)  negative 
C)  undefined 
D)  zero 
A)  positive 
B)  negative 
C)  undefined 
D)  zero

Question 5

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

Accepted Answer

A)  ( 2, -1 ) 
B)  ( 0, -1 ) 
C)  ( 0, 1 ) 
D)  ( -2, -1 ) 
E)  none of the above 
A)  ( 2, -1 ) 
B)  ( 0, -1 ) 
C)  ( 0, 1 ) 
D)  ( -2, -1 ) 
E)  none of the above

Question 6

Solve the system using the elimination-by-addition method. $$\left( \begin{array} { l } 
x + y = 14 \
x - y = 2
\end{array} \right)$$

Accepted Answer

A)  ( 8, 6 ) 
B)  ( 6, 8 ) 
C)  ( 0, 0 ) 
D)  The system is inconsistent. 
E)  The system is dependent. 
A)  ( 8, 6 ) 
B)  ( 6, 8 ) 
C)  ( 0, 0 ) 
D)  The system is inconsistent. 
E)  The system is dependent.

Question 7

Quadrants are named with Roman numerals and numbered counter-clockwise.

Accepted Answer

A) True 
 B)False

Question 8

Determine which of the ordered pairs satisfy the given equation and then graph the equation by plotting the points that satisfy the equation. $y = - x + 4 ; ( 1,3 ) , ( 0,4 ) , ( 2 , - 6 ) , ( - 2,6 ) , ( - 1,5 )$

Accepted Answer

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

Question 9

Find the slope of the line $-$ 2 x + 7 y = 6 by finding the coordinates of two points on it.

Accepted Answer

The answer of Find the slope of the line $-$...

Question 10

Match the equation of the line with the point it contains and its slope.
-$y = - 5$

Accepted Answer

A)  $( - 8,5 ) , m = 0$ 
B)  $( 8 , - 5 ) , m = 0$ 
A)  $( - 8,5 ) , m = 0$ 
B)  $( 8 , - 5 ) , m = 0$

Question 11

Graph the linear equation. $y = - \frac { 1 } { 2 } x - 1$

Accepted Answer

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

Question 12

If the ratio of rise to run is to be $\frac { 6 } { 11 }$ for some stairs and the measure of the run is 33 centimeters, find the measure of the rise to the nearest centimeter.

Accepted Answer

A)  28 cm 
B)  33 cm 
C)  17 cm 
D)  18 cm 
A)  28 cm 
B)  33 cm 
C)  17 cm 
D)  18 cm

Question 13

Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { l } 
2 x + 3 y = - 4 \
3 x - y = 16
\end{array} \right)$$

Accepted Answer

A)  ( 5, -5 ) 
B)  ( 4, 0 ) 
C)  ( 4, -4 ) 
D)  ( 6, -4 ) 
E)  none of the above 
A)  ( 5, -5 ) 
B)  ( 4, 0 ) 
C)  ( 4, -4 ) 
D)  ( 6, -4 ) 
E)  none of the above

Question 14

Graph the linear equation. $x = - 3$

Accepted Answer

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

Question 15

Find the slope of the line determined by this pair of points. (2, $-$ 4), ( $-$ 5, $-$ 5)

Accepted Answer

The answer of Find the slope of the line determined...

Question 16

Graph of what equation is represented on the figure?

Accepted Answer

A)  $y = - 4 x ^ { 2 }$ 
B)  $y = 4 x ^ { 2 }$ 
A)  $y = - 4 x ^ { 2 }$ 
B)  $y = 4 x ^ { 2 }$

Question 17

Solve the system using the elimination-by-addition method. $$\left( \begin{array} { c } 
4 x + y = 22 \
8 x - 2 y = 20
\end{array} \right)$$

Accepted Answer

A)  ( 13, 15 ) 
B)  ( 4, 6 ) 
C)  ( 16, 18 ) 
D)  ( 8, 10 ) 
E)  ( 0, 2 ) 
A)  ( 13, 15 ) 
B)  ( 4, 6 ) 
C)  ( 16, 18 ) 
D)  ( 8, 10 ) 
E)  ( 0, 2 )

Question 18

Graph the linear equation. $- 2 x + y = - 4$

Accepted Answer

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

Question 19

Graph the line that passes through the given point and has the given slope. $( 3,2 ) , m = \frac { 5 } { 3 }$

Accepted Answer

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

Question 20

Find the equation of the line that contains the two given points. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. (0, 0), (7, 6)

Accepted Answer

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

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } x + 6 y = - 34 \\5 x - 6 y = 46\end{array} \right)$

A line is determined by the pair of points, $( - 3,4 )$ and $( - 3 , - 8 )$ . The slope of the line is

A line is determined by the pair of points, $( 10,4 )$ and $( 6 , - 4 )$ . The slope of the line is

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { c } 5 x - 3 y = 3 \\2 x + 3 y = - 3\end{array} \right)$

Solve the system using the elimination-by-addition method. $\left( \begin{array} { l } x + y = 14 \\x - y = 2\end{array} \right)$

Quadrants are named with Roman numerals and numbered counter-clockwise.

Determine which of the ordered pairs satisfy the given equation and then graph the equation by plotting the points that satisfy the equation. $y = - x + 4 ; ( 1,3 ) , ( 0,4 ) , ( 2 , - 6 ) , ( - 2,6 ) , ( - 1,5 )$

Find the slope of the line $-$ 2 x + 7 y = 6 by finding the coordinates of two points on it.

Match the equation of the line with the point it contains and its slope. - $y = - 5$

Graph the linear equation. $y = - \frac { 1 } { 2 } x - 1$

If the ratio of rise to run is to be $\frac { 6 } { 11 }$ for some stairs and the measure of the run is 33 centimeters, find the measure of the rise to the nearest centimeter.

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 2 x + 3 y = - 4 \\3 x - y = 16\end{array} \right)$

Graph the linear equation. $x = - 3$

Find the slope of the line determined by this pair of points. (2, $-$ 4), ( $-$ 5, $-$ 5)

Graph of what equation is represented on the figure?

Solve the system using the elimination-by-addition method. $\left( \begin{array} { c } 4 x + y = 22 \\8 x - 2 y = 20\end{array} \right)$

Graph the linear equation. $- 2 x + y = - 4$

Graph the line that passes through the given point and has the given slope. $( 3,2 ) , m = \frac { 5 } { 3 }$

Find the equation of the line that contains the two given points. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. (0, 0), (7, 6)

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

Use the elimination-by-addition method to solve the system. (x+6y=−345x−6y=46)\left( \begin{array} { c } x + 6 y = - 34 \\5 x - 6 y = 46\end{array} \right)(x+6y=−345x−6y=46​)

A line is determined by the pair of points, (−3,4)( - 3,4 )(−3,4) and (−3,−8)( - 3 , - 8 )(−3,−8) . The slope of the line is

A line is determined by the pair of points, (10,4)( 10,4 )(10,4) and (6,−4)( 6 , - 4 )(6,−4) . The slope of the line is

Decide which of the given ordered pairs is a solution of the given system of equations. (5x−3y=32x+3y=−3)\left( \begin{array} { c } 5 x - 3 y = 3 \\2 x + 3 y = - 3\end{array} \right)(5x−3y=32x+3y=−3​)

Solve the system using the elimination-by-addition method. (x+y=14x−y=2)\left( \begin{array} { l } x + y = 14 \\x - y = 2\end{array} \right)(x+y=14x−y=2​)

Quadrants are named with Roman numerals and numbered counter-clockwise.

Find the slope of the line −-− 2 x + 7 y = 6 by finding the coordinates of two points on it.

Match the equation of the line with the point it contains and its slope. - y=−5y = - 5y=−5

Graph the linear equation. y=−12x−1y = - \frac { 1 } { 2 } x - 1y=−21​x−1

If the ratio of rise to run is to be 611\frac { 6 } { 11 }116​ for some stairs and the measure of the run is 33 centimeters, find the measure of the rise to the nearest centimeter.

Decide which of the given ordered pairs is a solution of the given system of equations. (2x+3y=−43x−y=16)\left( \begin{array} { l } 2 x + 3 y = - 4 \\3 x - y = 16\end{array} \right)(2x+3y=−43x−y=16​)

Graph the linear equation. x=−3x = - 3x=−3

Find the slope of the line determined by this pair of points. (2, −-− 4), ( −-− 5, −-− 5)

Graph of what equation is represented on the figure?

Solve the system using the elimination-by-addition method. (4x+y=228x−2y=20)\left( \begin{array} { c } 4 x + y = 22 \\8 x - 2 y = 20\end{array} \right)(4x+y=228x−2y=20​)

Graph the linear equation. −2x+y=−4- 2 x + y = - 4−2x+y=−4

Graph the line that passes through the given point and has the given slope. (3,2),m=53( 3,2 ) , m = \frac { 5 } { 3 }(3,2),m=35​

Find the equation of the line that contains the two given points. Express the equation in the form Ax+By=CA x + B y = CAx+By=C , where A , B , and C are integers. (0, 0), (7, 6)

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

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } x + 6 y = - 34 \\5 x - 6 y = 46\end{array} \right)$

A line is determined by the pair of points, $( - 3,4 )$ and $( - 3 , - 8 )$ . The slope of the line is

A line is determined by the pair of points, $( 10,4 )$ and $( 6 , - 4 )$ . The slope of the line is

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { c } 5 x - 3 y = 3 \\2 x + 3 y = - 3\end{array} \right)$

Solve the system using the elimination-by-addition method. $\left( \begin{array} { l } x + y = 14 \\x - y = 2\end{array} \right)$

Find the slope of the line $-$ 2 x + 7 y = 6 by finding the coordinates of two points on it.

Match the equation of the line with the point it contains and its slope. - $y = - 5$

Graph the linear equation. $y = - \frac { 1 } { 2 } x - 1$

If the ratio of rise to run is to be $\frac { 6 } { 11 }$ for some stairs and the measure of the run is 33 centimeters, find the measure of the rise to the nearest centimeter.

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 2 x + 3 y = - 4 \\3 x - y = 16\end{array} \right)$

Graph the linear equation. $x = - 3$

Find the slope of the line determined by this pair of points. (2, $-$ 4), ( $-$ 5, $-$ 5)

Solve the system using the elimination-by-addition method. $\left( \begin{array} { c } 4 x + y = 22 \\8 x - 2 y = 20\end{array} \right)$

Graph the linear equation. $- 2 x + y = - 4$

Graph the line that passes through the given point and has the given slope. $( 3,2 ) , m = \frac { 5 } { 3 }$

Find the equation of the line that contains the two given points. Express the equation in the form $A x + B y = C$ , where A , B , and C are integers. (0, 0), (7, 6)