Question 1

Find the slope of the line 2 x $-$ 3 y = 1 by finding the coordinates of two points on it.

Accepted Answer

A)  $- \frac { 2 } { 3 }$ 
B)  $\frac { 3 } { 2 }$ 
C)  $- \frac { 3 } { 2 }$ 
D)  $\frac { 2 } { 3 }$ 
A)  $- \frac { 2 } { 3 }$ 
B)  $\frac { 3 } { 2 }$ 
C)  $- \frac { 3 } { 2 }$ 
D)  $\frac { 2 } { 3 }$

Question 2

Write the equation of the line that satisfies the given condition: contains the point (-6, 4) and is perpendicular to the y axis. Choose the final equation from the following (the equations are given in standard form).

Accepted Answer

A)  x + y = 4 
B)  y = 4 
C)  y = -6 
D)  x $-$ y = 6 
A)  x + y = 4 
B)  y = 4 
C)  y = -6 
D)  x $-$ y = 6

Question 3

Find the equation for the graph.

Accepted Answer

A)  x - y = 0 
B)  x $-$ y = 1 
C)  x + y = 0 
D)  none of these 
A)  x - y = 0 
B)  x $-$ y = 1 
C)  x + y = 0 
D)  none of these

Question 4

Find the equation for the graph.

Accepted Answer

A)  $-$ 2 x + y = 2 
B)  $-$ 2 x + y = $-$ 2 
C)  2 x + y = $-$ 2 
D)  none of these 
A)  $-$ 2 x + y = 2 
B)  $-$ 2 x + y = $-$ 2 
C)  2 x + y = $-$ 2 
D)  none of these

Question 5

Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { c } 
2 x + 5 y = - 14 \
4 x - y = 16
\end{array} \right)$$

Accepted Answer

A)  ( -3, -4 ) 
B)  ( -3, 4 ) 
C)  ( 3, -4 ) 
D)  ( 5, -8 ) 
E)  infinitely many 
A)  ( -3, -4 ) 
B)  ( -3, 4 ) 
C)  ( 3, -4 ) 
D)  ( 5, -8 ) 
E)  infinitely many

Question 6

Find the equation of the line that contains the given point and has the given slope. $( 0,0 ) , m = \frac { 8 } { 9 }$

Accepted Answer

A)  9 y $-$ 8 x = 0 
B)  9 x $-$ 8 y = 0 
C)  9 x + 8 y = 0 
D)  9 y $-$ 8 = 0 
E)  9 y + 8 x = 0 
A)  9 y $-$ 8 x = 0 
B)  9 x $-$ 8 y = 0 
C)  9 x + 8 y = 0 
D)  9 y $-$ 8 = 0 
E)  9 y + 8 x = 0

Question 7

Solve the system by using the substitution method. $$\left( \begin{array} { c } 
y = \frac { 3 } { 5 } x - 1 \
7 x + 5 y = 11
\end{array} \right)$$

Accepted Answer

A)  $\left( \frac { 8 } { 5 } , - \frac { 1 } { 25 } \right)$ 
B)  $\left( 1 , \frac { 24 } { 25 } \right)$ 
C)  $\left( - \frac { 1 } { 25 } , \frac { 8 } { 5 } \right)$ 
D)  no solutions 
E)  infinitely many solutions 
A)  $\left( \frac { 8 } { 5 } , - \frac { 1 } { 25 } \right)$ 
B)  $\left( 1 , \frac { 24 } { 25 } \right)$ 
C)  $\left( - \frac { 1 } { 25 } , \frac { 8 } { 5 } \right)$ 
D)  no solutions 
E)  infinitely many solutions

Question 8

Match the equations with their graphs.
-

Accepted Answer

A)  $y = \frac { 1 } { 3 } x + 3$ 
B)  $y = \frac { 1 } { 3 } x + 2$ 
C)  $y = x + 3$ 
A)  $y = \frac { 1 } { 3 } x + 3$ 
B)  $y = \frac { 1 } { 3 } x + 2$ 
C)  $y = x + 3$

Question 9

Graph of what equation is represented on the figure?

Accepted Answer

A)  $y = - 3 x + 2$ 
B)  $y = 3 x + 2$ 
C)  $y = - 3 x - 2$ 
A)  $y = - 3 x + 2$ 
B)  $y = 3 x + 2$ 
C)  $y = - 3 x - 2$

Question 10

Match the equations with their graphs.
-

Accepted Answer

A)  $y = x$ 
B)  $y = - x$ 
C)  $y = x + 5$ 
A)  $y = x$ 
B)  $y = - x$ 
C)  $y = x + 5$

Question 11

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
\frac { 3 } { 4 } x + \frac { 1 } { 9 } y = 0 \
\frac { 4 } { 3 } x - \frac { 4 } { 27 } y = - 28
\end{array} \right)$$

Accepted Answer

A)  ( $-$ 12, 81) 
B)  ( 81, $-$ 12) 
C)  ( $-$ 12, $-$ 81) 
D)  no solutions 
E)  infinitely many solutions 
A)  ( $-$ 12, 81) 
B)  ( 81, $-$ 12) 
C)  ( $-$ 12, $-$ 81) 
D)  no solutions 
E)  infinitely many solutions

Question 12

Find the slope of the line determined by this pair of points. (9, 9), (12, 5)

Accepted Answer

A)  $- \frac { 4 } { 3 }$ 
B)  $- \frac { 3 } { 4 }$ 
C)  $\frac { 4 } { 3 }$ 
D)  $\frac { 3 } { 4 }$ 
E)  $- 4$ 
A)  $- \frac { 4 } { 3 }$ 
B)  $- \frac { 3 } { 4 }$ 
C)  $\frac { 4 } { 3 }$ 
D)  $\frac { 3 } { 4 }$ 
E)  $- 4$

Question 13

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 14

Graph the linear equation. $y = - 5 x$

Accepted Answer

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

Question 15

What inequality is illustrated below?

Accepted Answer

The answer of What inequality is illustrated below?  ...

Question 16

Match the equations with their graphs.
-

Accepted Answer

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

Question 17

Use the elimination-by-addition method to solve each system. Match each system with the corresponding solution.
-$( - 1 , - 3 )$

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

Question 18

Find the slope of the line y = 20 by finding the coordinates of two points on it.

Accepted Answer

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

Question 19

Find the slope of the line determined by this pair of points. (-10, 9), (-9, 12)

Accepted Answer

A)  5 
B)  6 
C)  -5 
D)  -3 
E)  3 
A)  5 
B)  6 
C)  -5 
D)  -3 
E)  3

Question 20

Determine the y -intercept of the line represented by the given equation. $9 x + 4 y = 36$

Accepted Answer

A)  $b = 9$ 
B)  $b = 36$ 
C)  $b = \frac { 1 } { 9 }$ 
D)  $b = 4$ 
E)  $b = - 4$ 
A)  $b = 9$ 
B)  $b = 36$ 
C)  $b = \frac { 1 } { 9 }$ 
D)  $b = 4$ 
E)  $b = - 4$

Find the slope of the line 2 x $-$ 3 y = 1 by finding the coordinates of two points on it.

Write the equation of the line that satisfies the given condition: contains the point (-6, 4) and is perpendicular to the y axis. Choose the final equation from the following (the equations are given in standard form).

Find the equation for the graph.

Find the equation for the graph.

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { c } 2 x + 5 y = - 14 \\4 x - y = 16\end{array} \right)$

Find the equation of the line that contains the given point and has the given slope. $( 0,0 ) , m = \frac { 8 } { 9 }$

Solve the system by using the substitution method. $\left( \begin{array} { c } y = \frac { 3 } { 5 } x - 1 \\7 x + 5 y = 11\end{array} \right)$

Match the equations with their graphs. -

Graph of what equation is represented on the figure?

Match the equations with their graphs. -

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } \frac { 3 } { 4 } x + \frac { 1 } { 9 } y = 0 \\\frac { 4 } { 3 } x - \frac { 4 } { 27 } y = - 28\end{array} \right)$

Find the slope of the line determined by this pair of points. (9, 9), (12, 5)

Match the equations with their graphs. -

Graph the linear equation. $y = - 5 x$

What inequality is illustrated below?

Match the equations with their graphs. -

Use the elimination-by-addition method to solve each system. Match each system with the corresponding solution. - $( - 1 , - 3 )$

Find the slope of the line y = 20 by finding the coordinates of two points on it.

Find the slope of the line determined by this pair of points. (-10, 9), (-9, 12)

Determine the y -intercept of the line represented by the given equation. $9 x + 4 y = 36$

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

Find the slope of the line 2 x −-− 3 y = 1 by finding the coordinates of two points on it.

Write the equation of the line that satisfies the given condition: contains the point (-6, 4) and is perpendicular to the y axis. Choose the final equation from the following (the equations are given in standard form).

Find the equation for the graph.

Find the equation for the graph.

Decide which of the given ordered pairs is a solution of the given system of equations. (2x+5y=−144x−y=16)\left( \begin{array} { c } 2 x + 5 y = - 14 \\4 x - y = 16\end{array} \right)(2x+5y=−144x−y=16​)

Find the equation of the line that contains the given point and has the given slope. (0,0),m=89( 0,0 ) , m = \frac { 8 } { 9 }(0,0),m=98​

Solve the system by using the substitution method. (y=35x−17x+5y=11)\left( \begin{array} { c } y = \frac { 3 } { 5 } x - 1 \\7 x + 5 y = 11\end{array} \right)(y=53​x−17x+5y=11​)

Match the equations with their graphs. -

Graph of what equation is represented on the figure?

Match the equations with their graphs. -

Find the slope of the line determined by this pair of points. (9, 9), (12, 5)

Match the equations with their graphs. -

Graph the linear equation. y=−5xy = - 5 xy=−5x

What inequality is illustrated below?

Match the equations with their graphs. -

Use the elimination-by-addition method to solve each system. Match each system with the corresponding solution. - (−1,−3)( - 1 , - 3 )(−1,−3)

Find the slope of the line y = 20 by finding the coordinates of two points on it.

Find the slope of the line determined by this pair of points. (-10, 9), (-9, 12)

Determine the y -intercept of the line represented by the given equation. 9x+4y=369 x + 4 y = 369x+4y=36

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 slope of the line 2 x $-$ 3 y = 1 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. $\left( \begin{array} { c } 2 x + 5 y = - 14 \\4 x - y = 16\end{array} \right)$

Find the equation of the line that contains the given point and has the given slope. $( 0,0 ) , m = \frac { 8 } { 9 }$

Solve the system by using the substitution method. $\left( \begin{array} { c } y = \frac { 3 } { 5 } x - 1 \\7 x + 5 y = 11\end{array} \right)$

Graph the linear equation. $y = - 5 x$

Use the elimination-by-addition method to solve each system. Match each system with the corresponding solution. - $( - 1 , - 3 )$

Determine the y -intercept of the line represented by the given equation. $9 x + 4 y = 36$