Question 1

Find the slope of the line determined by this pair of points. (-2, 5), (5, -5)

Accepted Answer

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

Question 2

Suppose that one solution contains 20% alcohol and another solution contains 50% alcohol. How many liters of each solution should be mixed to make 12 liters of a 40%-alcohol solution?

Accepted Answer

A)  6 liters of 20% solution and 6 liters of 50% solution 
B)  4 liters of 20% solution and 8 liters of 50% solution 
C)  8 liters of 20% solution and 4 liters of 50% solution 
A)  6 liters of 20% solution and 6 liters of 50% solution 
B)  4 liters of 20% solution and 8 liters of 50% solution 
C)  8 liters of 20% solution and 4 liters of 50% solution

Question 3

Find x if the line through the points (3, 6) and ( x , 3) has a slope of $- \frac { 9 } { 10 }$ .

Accepted Answer

The answer of Find x if the line through the...

Question 4

The signs of the ordered pair in Quadrant II is $( + , - )$ .

Accepted Answer

A) True 
 B)False

Question 5

Match the equations with their graphs.
-

Accepted Answer

A)  $x + 3 y = 6$ 
B)  $x + 3 y = 12$ 
C)  $x + 2 y = 2$ 
A)  $x + 3 y = 6$ 
B)  $x + 3 y = 12$ 
C)  $x + 2 y = 2$

Question 6

Graph the linear equation. $y = - 4$

Accepted Answer

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

Question 7

Graph of what equation is represented on the figure?

Accepted Answer

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

Question 8

Use the graphing method to solve the system. $$\left( \begin{array} { l } 
x + y = 1 \
x - y = 5
\end{array} \right)$$ 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 9

Write the equation of the line that satisfies the given condition: contains the origin and is parallel to the line 10 x + 3 y = -9. Simplify your answer as much as possible. Express the final equation in standard form.

Accepted Answer

The answer of Write the equation of the line that...

Question 10

Match the equations with their graphs.
-

Accepted Answer

A)  $y = - 4 x + 2$ 
B)  $y = - 4 x - 2$ 
C)  $y = 4 x + 2$ 
A)  $y = - 4 x + 2$ 
B)  $y = - 4 x - 2$ 
C)  $y = 4 x + 2$

Question 11

If the ratio of rise to run is to be $\frac { 1 } { 2 }$ for some stairs and the measure of the run is 31 inches, find the measure of the rise to the nearest inch.

Accepted Answer

A)  62 in. 
B)  15 in. 
C)  26 in. 
D)  16 in. 
E)  31 in. 
A)  62 in. 
B)  15 in. 
C)  26 in. 
D)  16 in. 
E)  31 in.

Question 12

Use the elimination-by-addition method to solve the system. $$\left( \begin{array} { c } 
6 x + 9 y = 12 \
3 x + y = - 1
\end{array} \right)$$

Accepted Answer

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

Question 13

Write the equation of the line that satisfies the given condition: contains the point (4, -4) and is perpendicular to the line 8 x - 11 y = -2. Simplify your answer as much as possible. Express the final equation in standard form.

Accepted Answer

The answer of Write the equation of the line that...

Question 14

Find the slope of the line determined by this pair of points. (1, -2), (6, -2)

Accepted Answer

A)  $\frac { 1 } { 5 }$ 
B)  $- 5$ 
C)  $0$ 
D)  $- \frac { 4 } { 5 }$ 
E)  undefined 
A)  $\frac { 1 } { 5 }$ 
B)  $- 5$ 
C)  $0$ 
D)  $- \frac { 4 } { 5 }$ 
E)  undefined

Question 15

Solve the system using the substitution method. $$\left( \begin{array} { l } 
6 x + 6 y = 30 \
5 x + 4 y = 34
\end{array} \right)$$

Accepted Answer

A)  ( 15, -10 ) 
B)  ( 14, -9 ) 
C)  ( 12, -7 ) 
D)  ( 13, -8 ) 
E)  none of these 
A)  ( 15, -10 ) 
B)  ( 14, -9 ) 
C)  ( 12, -7 ) 
D)  ( 13, -8 ) 
E)  none of these

Question 16

Find the equation of the line that contains the two given points. $( - 7 , - 5 ) , ( - 2 , - 2 )$

Accepted Answer

A)  5 y + 3 x = -4 
B)  5 y $-$ 3 x = 4. 
C)  5 y + 3 x = 4 
D)  5 y $-$ 3 x = 4 
E)  3 y $-$ 5 x = 4 
A)  5 y + 3 x = -4 
B)  5 y $-$ 3 x = 4. 
C)  5 y + 3 x = 4 
D)  5 y $-$ 3 x = 4 
E)  3 y $-$ 5 x = 4

Question 17

Solve the system by graphing if possible. $$\left\{ \begin{array} { l } 
2 x + y = - 7 \
x - 2 y = - 1
\end{array} \right.$$

Accepted Answer

A)    dependent system 
B)    $x = - 3 y = - 1$ 
C)    $x = - 3 y = 1$ 
D)    $x = 3 y = 1$ 
E)    inconsistent system 
A)    dependent system 
B)    $x = - 3 y = - 1$ 
C)    $x = - 3 y = 1$ 
D)    $x = 3 y = 1$ 
E)    inconsistent system

Question 18

Find the equation for the graph.

Accepted Answer

A)  $y = \frac { 1 } { 2 } x - 1$ 
B)  $y = - \frac { 1 } { 2 } x - 1$ 
C)  $y = - \frac { 1 } { 2 } x + 1$ 
D)  none of these 
A)  $y = \frac { 1 } { 2 } x - 1$ 
B)  $y = - \frac { 1 } { 2 } x - 1$ 
C)  $y = - \frac { 1 } { 2 } x + 1$ 
D)  none of these

Question 19

Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { l } 
3 x + 2 y = 7 \
5 x - y = 29
\end{array} \right)$$

Accepted Answer

A)  (-5, -4) 
B)  (5, -4) 
C)  (7, -8) 
A)  (-5, -4) 
B)  (5, -4) 
C)  (7, -8)

Question 20

Which graph illustrates the inequality $y + 4 \leq \frac { 1 } { 9 } x$ ?

Accepted Answer

A)    
B)    
A)    
B)

Find the slope of the line determined by this pair of points. (-2, 5), (5, -5)

Suppose that one solution contains 20% alcohol and another solution contains 50% alcohol. How many liters of each solution should be mixed to make 12 liters of a 40%-alcohol solution?

Find x if the line through the points (3, 6) and ( x , 3) has a slope of $- \frac { 9 } { 10 }$ .

The signs of the ordered pair in Quadrant II is $( + , - )$ .

Match the equations with their graphs. -

Graph the linear equation. $y = - 4$

Graph of what equation is represented on the figure?

Use the graphing method to solve the system. $\left( \begin{array} { l } x + y = 1 \\x - y = 5\end{array} \right)$ Please enter your answer as values of x and y , separated by a comma.

Write the equation of the line that satisfies the given condition: contains the origin and is parallel to the line 10 x + 3 y = -9. Simplify your answer as much as possible. Express the final equation in standard form.

Match the equations with their graphs. -

If the ratio of rise to run is to be $\frac { 1 } { 2 }$ for some stairs and the measure of the run is 31 inches, find the measure of the rise to the nearest inch.

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 6 x + 9 y = 12 \\3 x + y = - 1\end{array} \right)$

Write the equation of the line that satisfies the given condition: contains the point (4, -4) and is perpendicular to the line 8 x - 11 y = -2. Simplify your answer as much as possible. Express the final equation in standard form.

Find the slope of the line determined by this pair of points. (1, -2), (6, -2)

Solve the system using the substitution method. $\left( \begin{array} { l } 6 x + 6 y = 30 \\5 x + 4 y = 34\end{array} \right)$

Find the equation of the line that contains the two given points. $( - 7 , - 5 ) , ( - 2 , - 2 )$

Solve the system by graphing if possible. $\left\{ \begin{array} { l } 2 x + y = - 7 \\x - 2 y = - 1\end{array} \right.$

Find the equation for the graph.

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 3 x + 2 y = 7 \\5 x - y = 29\end{array} \right)$

Which graph illustrates the inequality $y + 4 \leq \frac { 1 } { 9 } x$ ?

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 determined by this pair of points. (-2, 5), (5, -5)

Suppose that one solution contains 20% alcohol and another solution contains 50% alcohol. How many liters of each solution should be mixed to make 12 liters of a 40%-alcohol solution?

Find x if the line through the points (3, 6) and ( x , 3) has a slope of −910- \frac { 9 } { 10 }−109​ .

The signs of the ordered pair in Quadrant II is (+,−)( + , - )(+,−) .

Match the equations with their graphs. -

Graph the linear equation. y=−4y = - 4y=−4

Graph of what equation is represented on the figure?

Use the graphing method to solve the system. (x+y=1x−y=5)\left( \begin{array} { l } x + y = 1 \\x - y = 5\end{array} \right)(x+y=1x−y=5​) Please enter your answer as values of x and y , separated by a comma.

Write the equation of the line that satisfies the given condition: contains the origin and is parallel to the line 10 x + 3 y = -9. Simplify your answer as much as possible. Express the final equation in standard form.

Match the equations with their graphs. -

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 31 inches, find the measure of the rise to the nearest inch.

Use the elimination-by-addition method to solve the system. (6x+9y=123x+y=−1)\left( \begin{array} { c } 6 x + 9 y = 12 \\3 x + y = - 1\end{array} \right)(6x+9y=123x+y=−1​)

Write the equation of the line that satisfies the given condition: contains the point (4, -4) and is perpendicular to the line 8 x - 11 y = -2. Simplify your answer as much as possible. Express the final equation in standard form.

Find the slope of the line determined by this pair of points. (1, -2), (6, -2)

Solve the system using the substitution method. (6x+6y=305x+4y=34)\left( \begin{array} { l } 6 x + 6 y = 30 \\5 x + 4 y = 34\end{array} \right)(6x+6y=305x+4y=34​)

Find the equation of the line that contains the two given points. (−7,−5),(−2,−2)( - 7 , - 5 ) , ( - 2 , - 2 )(−7,−5),(−2,−2)

Solve the system by graphing if possible. {2x+y=−7x−2y=−1\left\{ \begin{array} { l } 2 x + y = - 7 \\x - 2 y = - 1\end{array} \right.{2x+y=−7x−2y=−1​

Find the equation for the graph.

Decide which of the given ordered pairs is a solution of the given system of equations. (3x+2y=75x−y=29)\left( \begin{array} { l } 3 x + 2 y = 7 \\5 x - y = 29\end{array} \right)(3x+2y=75x−y=29​)

Which graph illustrates the inequality y+4≤19xy + 4 \leq \frac { 1 } { 9 } xy+4≤91​x ?

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 x if the line through the points (3, 6) and ( x , 3) has a slope of $- \frac { 9 } { 10 }$ .

The signs of the ordered pair in Quadrant II is $( + , - )$ .

Graph the linear equation. $y = - 4$

Use the graphing method to solve the system. $\left( \begin{array} { l } x + y = 1 \\x - y = 5\end{array} \right)$ Please enter your answer as values of x and y , separated by a comma.

If the ratio of rise to run is to be $\frac { 1 } { 2 }$ for some stairs and the measure of the run is 31 inches, find the measure of the rise to the nearest inch.

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 6 x + 9 y = 12 \\3 x + y = - 1\end{array} \right)$

Solve the system using the substitution method. $\left( \begin{array} { l } 6 x + 6 y = 30 \\5 x + 4 y = 34\end{array} \right)$

Find the equation of the line that contains the two given points. $( - 7 , - 5 ) , ( - 2 , - 2 )$

Solve the system by graphing if possible. $\left\{ \begin{array} { l } 2 x + y = - 7 \\x - 2 y = - 1\end{array} \right.$

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { l } 3 x + 2 y = 7 \\5 x - y = 29\end{array} \right)$

Which graph illustrates the inequality $y + 4 \leq \frac { 1 } { 9 } x$ ?