Question 1

Choose the equation for the table. X Y 2 1 4 2 6 3 8 4

Accepted Answer

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

Question 2

Solve the system by graphing if possible. $$\left\{ \begin{array} { l } 
3 x - 2 y = 0 \
2 x + 3 y = 0
\end{array} \right.$$

Accepted Answer

A)    $x = 0 , y = 0$ 
B)    $x = 0 , y = 0$ 
C)    $x = 0 , y = 0$ 
D)    inconsistent system 
E)    dependent system 
A)    $x = 0 , y = 0$ 
B)    $x = 0 , y = 0$ 
C)    $x = 0 , y = 0$ 
D)    inconsistent system 
E)    dependent system

Question 3

Find the slope of the line 5 x $-$ 4 y = $-$ 10 by finding the coordinates of two points on it.

Accepted Answer

The answer of Find the slope of the line 5...

Question 4

Find x if the line through the points (4, 2) and ( x , 1) has a slope of $- \frac { 3 } { 8 }$ .

Accepted Answer

A)  x = 4 
B)  x = -4 
C)  x = 8 
D)  x = -8 
A)  x = 4 
B)  x = -4 
C)  x = 8 
D)  x = -8

Question 5

Find the equation of the line that contains the two given points. $( - 4,0 ) , ( 0 , - 11 )$

Accepted Answer

A)  4 y $-$ 11 x = $-$ 11 
B)  4 y $-$ 11 x = 44. 
C)  4 y + 11 x = -44 
D)  4 y $-$ 11 x = 44 
E)  4 y + 11 x = 44 
A)  4 y $-$ 11 x = $-$ 11 
B)  4 y $-$ 11 x = 44. 
C)  4 y + 11 x = -44 
D)  4 y $-$ 11 x = 44 
E)  4 y + 11 x = 44

Question 6

Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { l } 
4 x + 2 y = - 6 \
3 x - y = 8
\end{array} \right)$$

Accepted Answer

A)  ( 2, -6 ) 
B)  ( 1, 0 ) 
C)  ( 3, -5 ) 
D)  ( 1, -5 ) 
E)  none of the above 
A)  ( 2, -6 ) 
B)  ( 1, 0 ) 
C)  ( 3, -5 ) 
D)  ( 1, -5 ) 
E)  none of the above

Question 7

Any equation of the system can be replaced by the sum of the equation and a multiple of another equation.

Accepted Answer

A) True 
 B)False

Question 8

Solve the given equation for the variable indicated. x $-$ 9 y = 11 for x

Accepted Answer

A)  $x = 9 + 11 y$ 
B)  $x = 12 + 9 y$ 
C)  $x = 11 + 9 y$ 
A)  $x = 9 + 11 y$ 
B)  $x = 12 + 9 y$ 
C)  $x = 11 + 9 y$

Question 9

Solve the system by using the substitution method. $$\left( \begin{array} { c } 
3 x + y = 17 \
4 x - y = 18
\end{array} \right)$$

Accepted Answer

A)  (5, 32) 
B)  (2, 5) 
C)  (5, 2) 
D)  no solutions 
E)  infinitely many solutions 
A)  (5, 32) 
B)  (2, 5) 
C)  (5, 2) 
D)  no solutions 
E)  infinitely many solutions

Question 10

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

Accepted Answer

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

Question 11

Solve the system by using the substitution method. $$\left( \begin{array} { c } 
x + 4 y = 3 \
3 x + 12 y = - 1
\end{array} \right)$$

Accepted Answer

A)  $( 3,0 )$ 
B)  $\{ ( x , y ) \mid x + 4 y = 3 \}$ 
C)  $( 3 , - 4 )$ 
D)  $( - 7,7 )$ 
E)  inconsistent 
A)  $( 3,0 )$ 
B)  $\{ ( x , y ) \mid x + 4 y = 3 \}$ 
C)  $( 3 , - 4 )$ 
D)  $( - 7,7 )$ 
E)  inconsistent

Question 12

The concept of slope is undefined for vertical lines.

Accepted Answer

A) True 
 B)False

Question 13

Indicate the solution set for the system of linear inequalities by shading the appropriate region. $$\left( \begin{array} { l } 
y  - x - 2
\end{array} \right)$$

Accepted Answer

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

Question 14

Graph of what equation is represented on the figure?

Accepted Answer

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

Question 15

The slope of a line can only be positive or negative.

Accepted Answer

A) True 
 B)False

Question 16

Find the slope of the line determined by this pair of points. (4, $-$ 8), (2, $-$ 8)

Accepted Answer

A)  $0$ 
B)  $2$ 
C)  $\frac { 1 } { 2 }$ 
A)  $0$ 
B)  $2$ 
C)  $\frac { 1 } { 2 }$

Question 17

Graph of what equation is represented on the figure?

Accepted Answer

A)  $y = - 5 x ^ { 3 }$ 
B)  $y = 5 x ^ { 2 }$ 
C)  $y = - 5 x ^ { 2 }$ 
D)  $y = 5 x ^ { 3 }$ 
A)  $y = - 5 x ^ { 3 }$ 
B)  $y = 5 x ^ { 2 }$ 
C)  $y = - 5 x ^ { 2 }$ 
D)  $y = 5 x ^ { 3 }$

Question 18

Use the elimination-by-addition method to solve the system. $$\left( \begin{array} { c } 
4 x + 3 y = - 7 \
3 x - 5 y = 31
\end{array} \right)$$

Accepted Answer

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

Question 19

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

Accepted Answer

A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 5 } { 2 }$ 
C)  $2$ 
D)  $5$ 
E)  $- 2$ 
A)  $- \frac { 1 } { 2 }$ 
B)  $\frac { 5 } { 2 }$ 
C)  $2$ 
D)  $5$ 
E)  $- 2$

Question 20

What inequality is illustrated below?

Accepted Answer

A)  $y \leq x$ 
B)  $y \geq x$ 
C)  $y > x$ 
D)  $y > - x$ 
E)  $y \geq - x$ 
A)  $y \leq x$ 
B)  $y \geq x$ 
C)  $y > x$ 
D)  $y > - x$ 
E)  $y \geq - x$

Choose the equation for the table. X Y 2 1 4 2 6 3 8 4

Solve the system by graphing if possible. $\left\{ \begin{array} { l } 3 x - 2 y = 0 \\2 x + 3 y = 0\end{array} \right.$

Find the slope of the line 5 x $-$ 4 y = $-$ 10 by finding the coordinates of two points on it.

Find x if the line through the points (4, 2) and ( x , 1) has a slope of $- \frac { 3 } { 8 }$ .

Find the equation of the line that contains the two given points. $( - 4,0 ) , ( 0 , - 11 )$

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 4 x + 2 y = - 6 \\3 x - y = 8\end{array} \right)$

Any equation of the system can be replaced by the sum of the equation and a multiple of another equation.

Solve the given equation for the variable indicated. x $-$ 9 y = 11 for x

Solve the system by using the substitution method. $\left( \begin{array} { c } 3 x + y = 17 \\4 x - y = 18\end{array} \right)$

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

Solve the system by using the substitution method. $\left( \begin{array} { c } x + 4 y = 3 \\3 x + 12 y = - 1\end{array} \right)$

The concept of slope is undefined for vertical lines.

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

Graph of what equation is represented on the figure?

The slope of a line can only be positive or negative.

Find the slope of the line determined by this pair of points. (4, $-$ 8), (2, $-$ 8)

Graph of what equation is represented on the figure?

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 4 x + 3 y = - 7 \\3 x - 5 y = 31\end{array} \right)$

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

What inequality is illustrated below?

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

Choose the equation for the table. X Y 2 1 4 2 6 3 8 4

Solve the system by graphing if possible. {3x−2y=02x+3y=0\left\{ \begin{array} { l } 3 x - 2 y = 0 \\2 x + 3 y = 0\end{array} \right.{3x−2y=02x+3y=0​

Find the slope of the line 5 x −-− 4 y = −-− 10 by finding the coordinates of two points on it.

Find x if the line through the points (4, 2) and ( x , 1) has a slope of −38- \frac { 3 } { 8 }−83​ .

Find the equation of the line that contains the two given points. (−4,0),(0,−11)( - 4,0 ) , ( 0 , - 11 )(−4,0),(0,−11)

Decide which of the given ordered pairs is a solution of the given system of equations. (4x+2y=−63x−y=8)\left( \begin{array} { l } 4 x + 2 y = - 6 \\3 x - y = 8\end{array} \right)(4x+2y=−63x−y=8​)

Any equation of the system can be replaced by the sum of the equation and a multiple of another equation.

Solve the given equation for the variable indicated. x −-− 9 y = 11 for x

Solve the system by using the substitution method. (3x+y=174x−y=18)\left( \begin{array} { c } 3 x + y = 17 \\4 x - y = 18\end{array} \right)(3x+y=174x−y=18​)

Solve the system by using the substitution method. (x+4y=33x+12y=−1)\left( \begin{array} { c } x + 4 y = 3 \\3 x + 12 y = - 1\end{array} \right)(x+4y=33x+12y=−1​)

The concept of slope is undefined for vertical lines.

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

Graph of what equation is represented on the figure?

The slope of a line can only be positive or negative.

Find the slope of the line determined by this pair of points. (4, −-− 8), (2, −-− 8)

Graph of what equation is represented on the figure?

Use the elimination-by-addition method to solve the system. (4x+3y=−73x−5y=31)\left( \begin{array} { c } 4 x + 3 y = - 7 \\3 x - 5 y = 31\end{array} \right)(4x+3y=−73x−5y=31​)

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

What inequality is illustrated below?

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 system by graphing if possible. $\left\{ \begin{array} { l } 3 x - 2 y = 0 \\2 x + 3 y = 0\end{array} \right.$

Find the slope of the line 5 x $-$ 4 y = $-$ 10 by finding the coordinates of two points on it.

Find x if the line through the points (4, 2) and ( x , 1) has a slope of $- \frac { 3 } { 8 }$ .

Find the equation of the line that contains the two given points. $( - 4,0 ) , ( 0 , - 11 )$

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 4 x + 2 y = - 6 \\3 x - y = 8\end{array} \right)$

Solve the given equation for the variable indicated. x $-$ 9 y = 11 for x

Solve the system by using the substitution method. $\left( \begin{array} { c } 3 x + y = 17 \\4 x - y = 18\end{array} \right)$

Solve the system by using the substitution method. $\left( \begin{array} { c } x + 4 y = 3 \\3 x + 12 y = - 1\end{array} \right)$

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

Find the slope of the line determined by this pair of points. (4, $-$ 8), (2, $-$ 8)

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 4 x + 3 y = - 7 \\3 x - 5 y = 31\end{array} \right)$

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