Question 1

The test point will determine which half-plane is part of the solution.

Accepted Answer

A) True 
 B)False

Question 2

Write the equation of the line that satisfies the given condition: contains the point (-1, -10) and is parallel to the y axis.

Accepted Answer

A)  x + y = -10 
B)  x $-$ y = 1 
C)  y = -1 
D)  x = -1 
A)  x + y = -10 
B)  x $-$ y = 1 
C)  y = -1 
D)  x = -1

Question 3

Solve the given equation for the variable indicated. 6 x $-$ 3 y = $-$ 10 for y

Accepted Answer

A)  $y = \frac { 6 x + 10 } { 6 }$ 
B)  $y = \frac { x + 10 } { 3 }$ 
C)  $y = \frac { 6 x + 10 } { 3 }$ 
A)  $y = \frac { 6 x + 10 } { 6 }$ 
B)  $y = \frac { x + 10 } { 3 }$ 
C)  $y = \frac { 6 x + 10 } { 3 }$

Question 4

Find the equation of the line that contains the given point and has the given slope. $( - 6 , - 4 ) , m = 3$

Accepted Answer

A)  y + 3 x = 14 
B)  y $-$ 3 x = 14. 
C)  y + 3 x = -14 
D)  3 x $-$ y = 14 
E)  y $-$ 3 x = 14 
A)  y + 3 x = 14 
B)  y $-$ 3 x = 14. 
C)  y + 3 x = -14 
D)  3 x $-$ y = 14 
E)  y $-$ 3 x = 14

Question 5

What graph illustrates the inequality 4 x + 9 y < 1?

Accepted Answer

A)    
B)    
A)    
B)

Question 6

Plot the points on a rectangular coordinate system, and determine if the points fall in a straight line. $( 0,1 ) , ( - 2,5 ) , ( 2 , - 5 )$

Accepted Answer

A)    Yes 
B)    No 
C)    No 
D)    Yes 
E)    No 
A)    Yes 
B)    No 
C)    No 
D)    Yes 
E)    No

Question 7

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { c } 
3 x + 2 y > 6 \
x - y < 1
\end{array} \right)$

Accepted Answer

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

Question 8

Solve the given equation for the variable indicated. $-$ 7 x + y = 4 for x

Accepted Answer

The answer of Solve the given equation for the variable...

Question 9

A system of equations with no solution is called an inconsistent system.

Accepted Answer

A) True 
 B)False

Question 10

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 11

Solve the system by using the substitution method. $$\left( \begin{array} { l } 
4 x - 5 y = 7 \
8 x + 15 y = - 26
\end{array} \right)$$

Accepted Answer

A)  $\left( - 1 , - \frac { 8 } { 5 } \right)$ 
B)  $\left( - \frac { 1 } { 4 } , - \frac { 8 } { 5 } \right)$ 
C)  $\left( - \frac { 8 } { 5 } , - \frac { 1 } { 4 } \right)$ 
D)  infinitely many solutions 
E)  no solutions 
A)  $\left( - 1 , - \frac { 8 } { 5 } \right)$ 
B)  $\left( - \frac { 1 } { 4 } , - \frac { 8 } { 5 } \right)$ 
C)  $\left( - \frac { 8 } { 5 } , - \frac { 1 } { 4 } \right)$ 
D)  infinitely many solutions 
E)  no solutions

Question 12

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

Accepted Answer

A)  $\frac { 1 } { 6 }$ 
B)  9 
C)  $\frac { 1 } { 9 }$ 
D)  0 
E)  undefined 
A)  $\frac { 1 } { 6 }$ 
B)  9 
C)  $\frac { 1 } { 9 }$ 
D)  0 
E)  undefined

Question 13

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $$\left( \begin{array} { c } 
y = 2 x + 32 \
y = - 6 x - 48
\end{array} \right)$$

Accepted Answer

A)  ( -12, 10) 
B)  ( -10, 12) 
C)  ( 10, 12) 
D)  infinitely many solutions 
E)  no solutions 
A)  ( -12, 10) 
B)  ( -10, 12) 
C)  ( 10, 12) 
D)  infinitely many solutions 
E)  no solutions

Question 14

Find the equation of the line that contains the two given points. (0, 0), (3, 4)

Accepted Answer

A)  4 x $-$ 3 y = 3 
B)  4 x + 3 y = 3 
C)  4 x $-$ 3 y = 0 
D)  4 x + 3 y = 0 
A)  4 x $-$ 3 y = 3 
B)  4 x + 3 y = 3 
C)  4 x $-$ 3 y = 0 
D)  4 x + 3 y = 0

Question 15

Find the slope of the line determined by this pair of points. (-7, 7), (-11, -2)

Accepted Answer

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

Question 16

Find the slope of the line $-$ 2 x + 7 y = 3 by finding the coordinates of two points on it.

Accepted Answer

A)  $\frac { 2 } { 7 }$ 
B)  $\frac { 7 } { 2 }$ 
C)  $- \frac { 2 } { 7 }$ 
D)  $- 2$ 
E)  $- \frac { 7 } { 2 }$ 
A)  $\frac { 2 } { 7 }$ 
B)  $\frac { 7 } { 2 }$ 
C)  $- \frac { 2 } { 7 }$ 
D)  $- 2$ 
E)  $- \frac { 7 } { 2 }$

Question 17

Use the elimination-by-addition method to solve the system. $$\left( \begin{array} { c } 
8 x + 9 y = 13 \
4 x + y = - 11
\end{array} \right)$$

Accepted Answer

A)  ( 5, 4) 
B)  ( 5, -4) 
C)  ( -4, 5) 
D)  infinitely many solutions 
E)  no solutions 
A)  ( 5, 4) 
B)  ( 5, -4) 
C)  ( -4, 5) 
D)  infinitely many solutions 
E)  no solutions

Question 18

Find the slope of the line determined by this pair of points. $( c , 0 ) , ( 0 , d )$

Accepted Answer

A)  $\frac { c } { d }$ 
B)  $- \frac { c } { d }$ 
C)  $\frac { d } { c }$ 
D)  $- \frac { d } { c }$ 
E)  undefined 
A)  $\frac { c } { d }$ 
B)  $- \frac { c } { d }$ 
C)  $\frac { d } { c }$ 
D)  $- \frac { d } { c }$ 
E)  undefined

Question 19

Determine the y -intercept of the line represented by the given equation. $- y = \frac { 7 } { 5 } x + \frac { 8 } { 3 }$

Accepted Answer

A)  $b = - \frac { 8 } { 3 }$ 
B)  $b = \frac { 8 } { 3 }$ 
C)  $b = \frac { 7 } { 5 }$ 
D)  $b = - \frac { 3 } { 8 }$ 
E)  $b = - \frac { 7 } { 5 }$ 
A)  $b = - \frac { 8 } { 3 }$ 
B)  $b = \frac { 8 } { 3 }$ 
C)  $b = \frac { 7 } { 5 }$ 
D)  $b = - \frac { 3 } { 8 }$ 
E)  $b = - \frac { 7 } { 5 }$

Question 20

Find the slope of the line determined by this pair of points. (-3, 1), (-11, -8)

Accepted Answer

A)  $\frac { 9 } { 8 }$ 
B)  $9$ 
C)  $- \frac { 9 } { 8 }$ 
D)  $\frac { 8 } { 9 }$ 
E)  $- \frac { 8 } { 9 }$ 
A)  $\frac { 9 } { 8 }$ 
B)  $9$ 
C)  $- \frac { 9 } { 8 }$ 
D)  $\frac { 8 } { 9 }$ 
E)  $- \frac { 8 } { 9 }$

The test point will determine which half-plane is part of the solution.

Write the equation of the line that satisfies the given condition: contains the point (-1, -10) and is parallel to the y axis.

Solve the given equation for the variable indicated. 6 x $-$ 3 y = $-$ 10 for y

Find the equation of the line that contains the given point and has the given slope. $( - 6 , - 4 ) , m = 3$

What graph illustrates the inequality 4 x + 9 y < 1?

Plot the points on a rectangular coordinate system, and determine if the points fall in a straight line. $( 0,1 ) , ( - 2,5 ) , ( 2 , - 5 )$

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { c } 3 x + 2 y > 6 \\x - y < 1\end{array} \right)$

Solve the given equation for the variable indicated. $-$ 7 x + y = 4 for x

A system of equations with no solution is called an inconsistent system.

Match the equations with their graphs. -

Solve the system by using the substitution method. $\left( \begin{array} { l } 4 x - 5 y = 7 \\8 x + 15 y = - 26\end{array} \right)$

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

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } y = 2 x + 32 \\y = - 6 x - 48\end{array} \right)$

Find the equation of the line that contains the two given points. (0, 0), (3, 4)

Find the slope of the line determined by this pair of points. (-7, 7), (-11, -2)

Find the slope of the line $-$ 2 x + 7 y = 3 by finding the coordinates of two points on it.

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 8 x + 9 y = 13 \\4 x + y = - 11\end{array} \right)$

Find the slope of the line determined by this pair of points. $( c , 0 ) , ( 0 , d )$

Determine the y -intercept of the line represented by the given equation. $- y = \frac { 7 } { 5 } x + \frac { 8 } { 3 }$

Find the slope of the line determined by this pair of points. (-3, 1), (-11, -8)

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 test point will determine which half-plane is part of the solution.

Write the equation of the line that satisfies the given condition: contains the point (-1, -10) and is parallel to the y axis.

Solve the given equation for the variable indicated. 6 x −-− 3 y = −-− 10 for y

Find the equation of the line that contains the given point and has the given slope. (−6,−4),m=3( - 6 , - 4 ) , m = 3(−6,−4),m=3

What graph illustrates the inequality 4 x + 9 y < 1?

Plot the points on a rectangular coordinate system, and determine if the points fall in a straight line. (0,1),(−2,5),(2,−5)( 0,1 ) , ( - 2,5 ) , ( 2 , - 5 )(0,1),(−2,5),(2,−5)

Indicate the solution set for the system of linear inequalities by shading the appropriate region. (3x+2y>6x−y<1)\left( \begin{array} { c } 3 x + 2 y > 6 \\x - y < 1\end{array} \right)(3x+2y>6x−y<1​)

Solve the given equation for the variable indicated. −-− 7 x + y = 4 for x

A system of equations with no solution is called an inconsistent system.

Match the equations with their graphs. -

Solve the system by using the substitution method. (4x−5y=78x+15y=−26)\left( \begin{array} { l } 4 x - 5 y = 7 \\8 x + 15 y = - 26\end{array} \right)(4x−5y=78x+15y=−26​)

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

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. (y=2x+32y=−6x−48)\left( \begin{array} { c } y = 2 x + 32 \\y = - 6 x - 48\end{array} \right)(y=2x+32y=−6x−48​)

Find the equation of the line that contains the two given points. (0, 0), (3, 4)

Find the slope of the line determined by this pair of points. (-7, 7), (-11, -2)

Find the slope of the line −-− 2 x + 7 y = 3 by finding the coordinates of two points on it.

Use the elimination-by-addition method to solve the system. (8x+9y=134x+y=−11)\left( \begin{array} { c } 8 x + 9 y = 13 \\4 x + y = - 11\end{array} \right)(8x+9y=134x+y=−11​)

Find the slope of the line determined by this pair of points. (c,0),(0,d)( c , 0 ) , ( 0 , d )(c,0),(0,d)

Determine the y -intercept of the line represented by the given equation. −y=75x+83- y = \frac { 7 } { 5 } x + \frac { 8 } { 3 }−y=57​x+38​

Find the slope of the line determined by this pair of points. (-3, 1), (-11, -8)

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 the given equation for the variable indicated. 6 x $-$ 3 y = $-$ 10 for y

Find the equation of the line that contains the given point and has the given slope. $( - 6 , - 4 ) , m = 3$

Plot the points on a rectangular coordinate system, and determine if the points fall in a straight line. $( 0,1 ) , ( - 2,5 ) , ( 2 , - 5 )$

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $\left( \begin{array} { c } 3 x + 2 y > 6 \\x - y < 1\end{array} \right)$

Solve the given equation for the variable indicated. $-$ 7 x + y = 4 for x

Solve the system by using the substitution method. $\left( \begin{array} { l } 4 x - 5 y = 7 \\8 x + 15 y = - 26\end{array} \right)$

Solve each system by using either the substitution or the elimination-by-addition method, whichever seems more appropriate. $\left( \begin{array} { c } y = 2 x + 32 \\y = - 6 x - 48\end{array} \right)$

Find the slope of the line $-$ 2 x + 7 y = 3 by finding the coordinates of two points on it.

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 8 x + 9 y = 13 \\4 x + y = - 11\end{array} \right)$

Find the slope of the line determined by this pair of points. $( c , 0 ) , ( 0 , d )$

Determine the y -intercept of the line represented by the given equation. $- y = \frac { 7 } { 5 } x + \frac { 8 } { 3 }$