Question 1

Match the equations with their graphs.
-

Accepted Answer

A)  $y = - x ^ { 3 }$ 
B)  $y = - x ^ { 2 }$ 
C)  $y = 4 x ^ { 3 }$ 
A)  $y = - x ^ { 3 }$ 
B)  $y = - x ^ { 2 }$ 
C)  $y = 4 x ^ { 3 }$

Question 2

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
8 x - 8 y = 40 \
- 8 x + 3 y = - 15
\end{array} \right)$$

Accepted Answer

A)  ( 0, $-$ 5) 
B)  ( 5, 0) 
C)  ( 0, 5) 
D)  infinitely many solutions 
E)  no solutions 
A)  ( 0, $-$ 5) 
B)  ( 5, 0) 
C)  ( 0, 5) 
D)  infinitely many solutions 
E)  no solutions

Question 3

Use the elimination-by-addition method to solve the system. $$\left( \begin{array} { c } 
3 x + 2 y = 19 \
3 x - 6 y = - 21
\end{array} \right)$$

Accepted Answer

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

Question 4

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
- 3 ( x + 3 ) + 4 ( y - 3 ) = - 37 \
4 ( x + 6 ) - 5 ( y + 2 ) = 33
\end{array} \right)$$

Accepted Answer

A)  ( $-$ 4, $-$ 7) 
B)  ( $-$ 4, 7) 
C)  ( 4, $-$ 7) 
D)  no solutions 
E)  infinitely many solutions 
A)  ( $-$ 4, $-$ 7) 
B)  ( $-$ 4, 7) 
C)  ( 4, $-$ 7) 
D)  no solutions 
E)  infinitely many solutions

Question 5

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. $m = \frac { 3 } { 4 } , b = 2$

Accepted Answer

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

Question 6

Write the equation of the line that satisfies the given condition: contains the origin and is parallel to the line 8 x - 3 y = -1.

Accepted Answer

A)  8 x + 3 y = 0 
B)  8 x + 3 y = 1 
C)  8 x - 3 y = 0 
A)  8 x + 3 y = 0 
B)  8 x + 3 y = 1 
C)  8 x - 3 y = 0

Question 7

Use the graphing method to solve the system. $$\left( \begin{array} { l } 
y = - 2 x \
y - 5 x = 0
\end{array} \right)$$ Please enter your answer as values of x and y , separated by a comma.

Accepted Answer

The answer of Use the graphing method to solve the...

Question 8

Use the slope-intercept form to graph the following line. $y = \frac { 3 } { 7 } x - 3$

Accepted Answer

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

Question 9

Match the equation of the line with the point it contains and its slope.
-$2 y - 9 x = 16$

Accepted Answer

A)  $( - 1 , - 7 ) , ( - 8 , - 3 )$ 
B)  $( - 6 , - 1 ) , ( - 4 , - 10 )$ 
A)  $( - 1 , - 7 ) , ( - 8 , - 3 )$ 
B)  $( - 6 , - 1 ) , ( - 4 , - 10 )$

Question 10

Match the equations with their graphs.
-

Accepted Answer

A)  $y = - x ^ { 3 }$ 
B)  $y = - x ^ { 2 }$ 
C)  $y = 4 x ^ { 3 }$ 
A)  $y = - x ^ { 3 }$ 
B)  $y = - x ^ { 2 }$ 
C)  $y = 4 x ^ { 3 }$

Question 11

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
5 x - y = 8 \
6 x + 9 y = 1
\end{array} \right)$$

Accepted Answer

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

Question 12

Match the equations with their graphs.
-

Accepted Answer

A)  $y = x ^ { 3 }$ 
B)  $y = - 2 x ^ { 2 }$ 
C)  $y = 3 x ^ { 2 }$ 
A)  $y = x ^ { 3 }$ 
B)  $y = - 2 x ^ { 2 }$ 
C)  $y = 3 x ^ { 2 }$

Question 13

Use the elimination-by-addition method to solve the system. $$\left( \begin{array} { c } 
3 x - 5 y = - 4 \
4 x + y = 1
\end{array} \right)$$

Accepted Answer

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

Question 14

Find the equation of the line that contains the given point and has the given slope. $( 2,11 ) , m = \frac { 2 } { 11 }$

Accepted Answer

A)  $11 x - 2 y = - 117$ 
B)  $2 x - 11 y = - 117$ 
C)  $11 x - 2 y = 2$ 
D)  $2 x - 11 y = 2$ 
E)  $2 x - 11 y = - 7$ 
A)  $11 x - 2 y = - 117$ 
B)  $2 x - 11 y = - 117$ 
C)  $11 x - 2 y = 2$ 
D)  $2 x - 11 y = 2$ 
E)  $2 x - 11 y = - 7$

Question 15

Find the slope of the line $-$ 5 x + 2 y = 30 by finding the coordinates of two points on it.

Accepted Answer

A)  $\frac { 2 } { 5 }$ 
B)  $- 5$ 
C)  $- \frac { 5 } { 2 }$ 
D)  $- \frac { 2 } { 5 }$ 
E)  $\frac { 5 } { 2 }$ 
A)  $\frac { 2 } { 5 }$ 
B)  $- 5$ 
C)  $- \frac { 5 } { 2 }$ 
D)  $- \frac { 2 } { 5 }$ 
E)  $\frac { 5 } { 2 }$

Question 16

Solve the system by using the substitution method. $$\left( \begin{array} { l } 
x = - 3 y \
7 x - 5 y = - 52
\end{array} \right)$$ Please enter your answer as an ordered pair in the form ( x , y ).

Accepted Answer

The answer of Solve the system by using the substitution...

Question 17

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
3 ( x - 1 ) - 4 ( y + 2 ) = 43 \
4 ( x + 2 ) + 3 ( y - 1 ) = - 23
\end{array} \right)$$

Accepted Answer

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

Question 18

A line is determined by the pair of points, $( 5,4 )$ and $( 5 , - 7 )$ . Is the slope of the line positive, negative, zero, or undefined?

Accepted Answer

The answer of A line is determined by the pair...

Question 19

Find y if the line through the points (16, 6) and (4, y ) has a slope of $\frac { 9 } { 4 }$ .

Accepted Answer

A)  y = -22 
B)  y = -21 
C)  y = -19 
A)  y = -22 
B)  y = -21 
C)  y = -19

Question 20

Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { l } 
5 x + y = 25 \
5 x - 2 y = 10
\end{array} \right)$$

Accepted Answer

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

Match the equations with their graphs. -

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 8 x - 8 y = 40 \\- 8 x + 3 y = - 15\end{array} \right)$

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 3 x + 2 y = 19 \\3 x - 6 y = - 21\end{array} \right)$

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } - 3 ( x + 3 ) + 4 ( y - 3 ) = - 37 \\4 ( x + 6 ) - 5 ( y + 2 ) = 33\end{array} \right)$

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. $m = \frac { 3 } { 4 } , b = 2$

Write the equation of the line that satisfies the given condition: contains the origin and is parallel to the line 8 x - 3 y = -1.

Use the graphing method to solve the system. $\left( \begin{array} { l } y = - 2 x \\y - 5 x = 0\end{array} \right)$ Please enter your answer as values of x and y , separated by a comma.

Use the slope-intercept form to graph the following line. $y = \frac { 3 } { 7 } x - 3$

Match the equation of the line with the point it contains and its slope. - $2 y - 9 x = 16$

Match the equations with their graphs. -

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 5 x - y = 8 \\6 x + 9 y = 1\end{array} \right)$

Match the equations with their graphs. -

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 3 x - 5 y = - 4 \\4 x + y = 1\end{array} \right)$

Find the equation of the line that contains the given point and has the given slope. $( 2,11 ) , m = \frac { 2 } { 11 }$

Find the slope of the line $-$ 5 x + 2 y = 30 by finding the coordinates of two points on it.

Solve the system by using the substitution method. $\left( \begin{array} { l } x = - 3 y \\7 x - 5 y = - 52\end{array} \right)$ Please enter your answer as an ordered pair in the form ( x , y ).

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 3 ( x - 1 ) - 4 ( y + 2 ) = 43 \\4 ( x + 2 ) + 3 ( y - 1 ) = - 23\end{array} \right)$

A line is determined by the pair of points, $( 5,4 )$ and $( 5 , - 7 )$ . Is the slope of the line positive, negative, zero, or undefined?

Find y if the line through the points (16, 6) and (4, y ) has a slope of $\frac { 9 } { 4 }$ .

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 5 x + y = 25 \\5 x - 2 y = 10\end{array} \right)$

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

Match the equations with their graphs. -

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. (8x−8y=40−8x+3y=−15)\left( \begin{array} { c } 8 x - 8 y = 40 \\- 8 x + 3 y = - 15\end{array} \right)(8x−8y=40−8x+3y=−15​)

Use the elimination-by-addition method to solve the system. (3x+2y=193x−6y=−21)\left( \begin{array} { c } 3 x + 2 y = 19 \\3 x - 6 y = - 21\end{array} \right)(3x+2y=193x−6y=−21​)

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. m=34,b=2m = \frac { 3 } { 4 } , b = 2m=43​,b=2

Write the equation of the line that satisfies the given condition: contains the origin and is parallel to the line 8 x - 3 y = -1.

Use the graphing method to solve the system. (y=−2xy−5x=0)\left( \begin{array} { l } y = - 2 x \\y - 5 x = 0\end{array} \right)(y=−2xy−5x=0​) Please enter your answer as values of x and y , separated by a comma.

Use the slope-intercept form to graph the following line. y=37x−3y = \frac { 3 } { 7 } x - 3y=73​x−3

Match the equation of the line with the point it contains and its slope. - 2y−9x=162 y - 9 x = 162y−9x=16

Match the equations with their graphs. -

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. (5x−y=86x+9y=1)\left( \begin{array} { c } 5 x - y = 8 \\6 x + 9 y = 1\end{array} \right)(5x−y=86x+9y=1​)

Match the equations with their graphs. -

Use the elimination-by-addition method to solve the system. (3x−5y=−44x+y=1)\left( \begin{array} { c } 3 x - 5 y = - 4 \\4 x + y = 1\end{array} \right)(3x−5y=−44x+y=1​)

Find the equation of the line that contains the given point and has the given slope. (2,11),m=211( 2,11 ) , m = \frac { 2 } { 11 }(2,11),m=112​

Find the slope of the line −-− 5 x + 2 y = 30 by finding the coordinates of two points on it.

Solve the system by using the substitution method. (x=−3y7x−5y=−52)\left( \begin{array} { l } x = - 3 y \\7 x - 5 y = - 52\end{array} \right)(x=−3y7x−5y=−52​) Please enter your answer as an ordered pair in the form ( x , y ).

A line is determined by the pair of points, (5,4)( 5,4 )(5,4) and (5,−7)( 5 , - 7 )(5,−7) . Is the slope of the line positive, negative, zero, or undefined?

Find y if the line through the points (16, 6) and (4, y ) has a slope of 94\frac { 9 } { 4 }49​ .

Decide which of the given ordered pairs is a solution of the given system of equations. (5x+y=255x−2y=10)\left( \begin{array} { l } 5 x + y = 25 \\5 x - 2 y = 10\end{array} \right)(5x+y=255x−2y=10​)

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

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 8 x - 8 y = 40 \\- 8 x + 3 y = - 15\end{array} \right)$

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 3 x + 2 y = 19 \\3 x - 6 y = - 21\end{array} \right)$

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. $m = \frac { 3 } { 4 } , b = 2$

Use the graphing method to solve the system. $\left( \begin{array} { l } y = - 2 x \\y - 5 x = 0\end{array} \right)$ Please enter your answer as values of x and y , separated by a comma.

Use the slope-intercept form to graph the following line. $y = \frac { 3 } { 7 } x - 3$

Match the equation of the line with the point it contains and its slope. - $2 y - 9 x = 16$

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } 5 x - y = 8 \\6 x + 9 y = 1\end{array} \right)$

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 3 x - 5 y = - 4 \\4 x + y = 1\end{array} \right)$

Find the equation of the line that contains the given point and has the given slope. $( 2,11 ) , m = \frac { 2 } { 11 }$

Find the slope of the line $-$ 5 x + 2 y = 30 by finding the coordinates of two points on it.

Solve the system by using the substitution method. $\left( \begin{array} { l } x = - 3 y \\7 x - 5 y = - 52\end{array} \right)$ Please enter your answer as an ordered pair in the form ( x , y ).

A line is determined by the pair of points, $( 5,4 )$ and $( 5 , - 7 )$ . Is the slope of the line positive, negative, zero, or undefined?

Find y if the line through the points (16, 6) and (4, y ) has a slope of $\frac { 9 } { 4 }$ .

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 5 x + y = 25 \\5 x - 2 y = 10\end{array} \right)$