Question 1

If the graphs of the equations are parallel, then the system is consistent.

Accepted Answer

A) True 
 B)False

Question 2

Which graph illustrates the inequality $y \geq - x + 8$ ?

Accepted Answer

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

Question 3

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
\frac { 3 x } { 4 } - \frac { 2 y } { 3 } = 84 \
\frac { 7 x } { 6 } + \frac { y } { 5 } = 75
\end{array} \right)$$

Accepted Answer

A)  ( 72, $-$ 45) 
B)  ( 72, 45) 
C)  ( $-$ 72, $-$ 45) 
D)  no solutions 
E)  infinitely many solutions 
A)  ( 72, $-$ 45) 
B)  ( 72, 45) 
C)  ( $-$ 72, $-$ 45) 
D)  no solutions 
E)  infinitely many solutions

Question 4

The ordinate of the point $( 0 , b )$ is the y intercept.

Accepted Answer

A) True 
 B)False

Question 5

Use the graphing method to solve the system. $$\left( \begin{array} { c } 
y = - 2 x + 7 \
4 x + 3 y = 15
\end{array} \right)$$ Enter your answer as an ordered pair in the form ( x , y ).

Accepted Answer

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

Question 6

Write the equation of the line that satisfies the given condition: contains the point (-8, -4) and is parallel to the line x + 4 y = -3. Choose the final equation from the following (the equations are given in standard form).

Accepted Answer

A)  4 x + y = 8 
B)  4 x + y = -8 
C)  x + 4 y = 8 
D)  x + 4 y = -3 
A)  4 x + y = 8 
B)  4 x + y = -8 
C)  x + 4 y = 8 
D)  x + 4 y = -3

Question 7

The income from a student production was $15,600. The price of a student ticket was $6, and nonstudent tickets were sold at $10 each. Two thousand tickets were sold. How many nonstudent tickets were sold?

Accepted Answer

A)  900 nonstudent tickets 
B)  1,100 nonstudent tickets 
C)  1,560 nonstudent tickets 
A)  900 nonstudent tickets 
B)  1,100 nonstudent tickets 
C)  1,560 nonstudent tickets

Question 8

Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { l } 
3 x - 3 y = 6 \
4 x + 4 y = 0
\end{array} \right)$$

Accepted Answer

A)  ( 0, 1 ) 
B)  ( 2, -3 ) 
C)  ( 1, -1 ) 
D)  ( 3, -2 ) 
E)  infinitely many 
A)  ( 0, 1 ) 
B)  ( 2, -3 ) 
C)  ( 1, -1 ) 
D)  ( 3, -2 ) 
E)  infinitely many

Question 9

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. $m = \frac { 4 } { 9 } \text { and } b = 4$

Accepted Answer

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

Question 10

Find the slope of the line 8 x $-$ 3 y = 18 by finding the coordinates of two points on it.

Accepted Answer

The answer of Find the slope of the line 8...

Question 11

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 12

Find the equation of the line that contains the two given points. $( 1,1 ) , ( 8,4 )$

Accepted Answer

A)  7 y $-$ 3 x = 4 
B)  7 y $-$ 3 x = 10 
C)  3 x $-$ 7 y = 4 
D)  7 y + 3 x = 4 
E)  7 y + 3 x = 10 
A)  7 y $-$ 3 x = 4 
B)  7 y $-$ 3 x = 10 
C)  3 x $-$ 7 y = 4 
D)  7 y + 3 x = 4 
E)  7 y + 3 x = 10

Question 13

Use the graphing method to solve the system. $$\left( \begin{array} { l } 
y = 5 - 4 x \
y = 7 - 5 x
\end{array} \right)$$

Accepted Answer

A)  $( 8 , - 27 )$ 
B)  $( 2 , - 3 )$ 
C)  $( 6 , - 19 )$ 
D)  $( 0,5 )$ 
E)  $( 4 , - 11 )$ 
A)  $( 8 , - 27 )$ 
B)  $( 2 , - 3 )$ 
C)  $( 6 , - 19 )$ 
D)  $( 0,5 )$ 
E)  $( 4 , - 11 )$

Question 14

What graph illustrates the inequality $4 x - 7 y \leq 10$ ?

Accepted Answer

A)    
B)    
A)    
B)

Question 15

If the ratio of rise to run is to be $\frac { 1 } { 2 }$ for some stairs and the measure of the run is 26 centimeters, find the measure of the rise to the nearest centimeter. __________ centimeters

Accepted Answer

The answer of If the ratio of rise to run...

Question 16

A line is determined by the pair of points, $( 2,7 )$ and $( - 2,7 )$ . The slope of the line is

Accepted Answer

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

Question 17

Determining three points is necessary to graph a straight line.

Accepted Answer

A) True 
 B)False

Question 18

Solve the given equation for the variable indicated. $-$ x $-$ y = 1 for x

Accepted Answer

A)  $x = - 1 + y$ 
B)  $x = 1 + y$ 
C)  $x = - 1 - y$ 
A)  $x = - 1 + y$ 
B)  $x = 1 + y$ 
C)  $x = - 1 - y$

Question 19

What inequality is illustrated below?

Accepted Answer

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

Question 20

Find the slope of the line determined by this pair of points. ( m , 0), (0, n )

Accepted Answer

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

If the graphs of the equations are parallel, then the system is consistent.

Which graph illustrates the inequality $y \geq - x + 8$ ?

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } \frac { 3 x } { 4 } - \frac { 2 y } { 3 } = 84 \\\frac { 7 x } { 6 } + \frac { y } { 5 } = 75\end{array} \right)$

The ordinate of the point $( 0 , b )$ is the y intercept.

Use the graphing method to solve the system. $\left( \begin{array} { c } y = - 2 x + 7 \\4 x + 3 y = 15\end{array} \right)$ Enter your answer as an ordered pair in the form ( x , y ).

Write the equation of the line that satisfies the given condition: contains the point (-8, -4) and is parallel to the line x + 4 y = -3. Choose the final equation from the following (the equations are given in standard form).

The income from a student production was $15,600. The price of a student ticket was $6, and nonstudent tickets were sold at $10 each. Two thousand tickets were sold. How many nonstudent tickets were sold?

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 3 x - 3 y = 6 \\4 x + 4 y = 0\end{array} \right)$

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. $m = \frac { 4 } { 9 } \text { and } b = 4$

Find the slope of the line 8 x $-$ 3 y = 18 by finding the coordinates of two points on it.

Match the equations with their graphs. -

Find the equation of the line that contains the two given points. $( 1,1 ) , ( 8,4 )$

Use the graphing method to solve the system. $\left( \begin{array} { l } y = 5 - 4 x \\y = 7 - 5 x\end{array} \right)$

What graph illustrates the inequality $4 x - 7 y \leq 10$ ?

If the ratio of rise to run is to be $\frac { 1 } { 2 }$ for some stairs and the measure of the run is 26 centimeters, find the measure of the rise to the nearest centimeter. __________ centimeters

A line is determined by the pair of points, $( 2,7 )$ and $( - 2,7 )$ . The slope of the line is

Determining three points is necessary to graph a straight line.

Solve the given equation for the variable indicated. $-$ x $-$ y = 1 for x

What inequality is illustrated below?

Find the slope of the line determined by this pair of points. ( m , 0), (0, n )

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

If the graphs of the equations are parallel, then the system is consistent.

Which graph illustrates the inequality y≥−x+8y \geq - x + 8y≥−x+8 ?

The ordinate of the point (0,b)( 0 , b )(0,b) is the y intercept.

Use the graphing method to solve the system. (y=−2x+74x+3y=15)\left( \begin{array} { c } y = - 2 x + 7 \\4 x + 3 y = 15\end{array} \right)(y=−2x+74x+3y=15​) Enter your answer as an ordered pair in the form ( x , y ).

Write the equation of the line that satisfies the given condition: contains the point (-8, -4) and is parallel to the line x + 4 y = -3. Choose the final equation from the following (the equations are given in standard form).

The income from a student production was $15,600. The price of a student ticket was $6, and nonstudent tickets were sold at $10 each. Two thousand tickets were sold. How many nonstudent tickets were sold?

Decide which of the given ordered pairs is a solution of the given system of equations. (3x−3y=64x+4y=0)\left( \begin{array} { l } 3 x - 3 y = 6 \\4 x + 4 y = 0\end{array} \right)(3x−3y=64x+4y=0​)

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. m=49 and b=4m = \frac { 4 } { 9 } \text { and } b = 4m=94​ and b=4

Find the slope of the line 8 x −-− 3 y = 18 by finding the coordinates of two points on it.

Match the equations with their graphs. -

Find the equation of the line that contains the two given points. (1,1),(8,4)( 1,1 ) , ( 8,4 )(1,1),(8,4)

Use the graphing method to solve the system. (y=5−4xy=7−5x)\left( \begin{array} { l } y = 5 - 4 x \\y = 7 - 5 x\end{array} \right)(y=5−4xy=7−5x​)

What graph illustrates the inequality 4x−7y≤104 x - 7 y \leq 104x−7y≤10 ?

If the ratio of rise to run is to be 12\frac { 1 } { 2 }21​ for some stairs and the measure of the run is 26 centimeters, find the measure of the rise to the nearest centimeter. __________ centimeters

A line is determined by the pair of points, (2,7)( 2,7 )(2,7) and (−2,7)( - 2,7 )(−2,7) . The slope of the line is

Determining three points is necessary to graph a straight line.

Solve the given equation for the variable indicated. −-− x −-− y = 1 for x

What inequality is illustrated below?

Find the slope of the line determined by this pair of points. ( m , 0), (0, n )

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

Which graph illustrates the inequality $y \geq - x + 8$ ?

The ordinate of the point $( 0 , b )$ is the y intercept.

Use the graphing method to solve the system. $\left( \begin{array} { c } y = - 2 x + 7 \\4 x + 3 y = 15\end{array} \right)$ Enter your answer as an ordered pair in the form ( x , y ).

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 3 x - 3 y = 6 \\4 x + 4 y = 0\end{array} \right)$

Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. $m = \frac { 4 } { 9 } \text { and } b = 4$

Find the slope of the line 8 x $-$ 3 y = 18 by finding the coordinates of two points on it.

Find the equation of the line that contains the two given points. $( 1,1 ) , ( 8,4 )$

Use the graphing method to solve the system. $\left( \begin{array} { l } y = 5 - 4 x \\y = 7 - 5 x\end{array} \right)$

What graph illustrates the inequality $4 x - 7 y \leq 10$ ?

If the ratio of rise to run is to be $\frac { 1 } { 2 }$ for some stairs and the measure of the run is 26 centimeters, find the measure of the rise to the nearest centimeter. __________ centimeters

A line is determined by the pair of points, $( 2,7 )$ and $( - 2,7 )$ . The slope of the line is

Solve the given equation for the variable indicated. $-$ x $-$ y = 1 for x