Question 1

Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { c } 
- 3 x + 4 y = 36 \
3 x - 4 y = - 35
\end{array} \right)$$

Accepted Answer

A)   ( -5, 4 ) 
B)   ( -3, 5 ) 
C)   ( -5, 5 ) 
D)   ( -7, 5 ) 
E)   none of the above  E

Question 2

Which graph illustrates the inequality $y + 6 \leq \frac { 1 } { 8 } x$ ?

Accepted Answer

A)   
B)   
C)   
D)   
E)     A

Question 3

Solve the given equation for the variable indicated. 2 x $-$ 3 y = $-$ 4 for y

Accepted Answer

$y = \frac { 4 + 2 x } { 3 }$

Question 4

Use the elimination-by-addition method to solve the system. $$\left( \begin{array} { c } 
3 x - 5 y = - 4 \
4 x + y = 1
\end{array} \right)$$

Accepted Answer

A)    (−123,−1923) \left( - \frac { 1 } { 23 } , - \frac { 19 } { 23 } \right) (−231​,−2319​)  
B)    (123,−1923) \left( \frac { 1 } { 23 } , - \frac { 19 } { 23 } \right) (231​,−2319​)  
C)    (123,1923) \left( \frac { 1 } { 23 } , \frac { 19 } { 23 } \right) (231​,2319​)  
D)   infinitely many solutions
E)   no solutions

Question 5

Solve the system by using the substitution method. $$\left( \begin{array} { c } 
5 x - y = 71 \
x = \frac { 3 } { 2 } y - 4
\end{array} \right)$$ Please enter your answer as an ordered pair in the form ( x , y ).

Accepted Answer

The answer of Solve the system by using the substitution...

Question 6

Match the following inequalities with the corresponding graph.
-

Accepted Answer

A)    y≤13x−7y \leq \frac { 1 } { 3 } x - 7y≤31​x−7  
B)    y≥13x−7y \geq \frac { 1 } { 3 } x - 7y≥31​x−7  
C)    y≤−14x+9y \leq - \frac { 1 } { 4 } x + 9y≤−41​x+9  
D)    y≥−14x+9y \geq - \frac { 1 } { 4 } x + 9y≥−41​x+9

Question 7

Use the graphing method to solve the system. $$\left( \begin{array} { l } 
3 x - 4 y = 27 \
4 x + 2 y = 14
\end{array} \right)$$ 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 8

The income from a student production was $13,250. The price of a student ticket was $7, and nonstudent tickets were sold at $12 each. One thousand five hundred tickets were sold. How many nonstudent tickets were sold?

Accepted Answer

The answer of The income from a student production was...

Question 9

Write the equation of the line that satisfies the given condition: x intercept of 3 and y intercept of -12. Express the final equation in standard form.

Accepted Answer

A)   4 x  −-−  y = 12.
B)   4 x + y = 12
C)   4 x  −-−  y = 12
D)   4 x + y = -12

Question 10

Match the equations with their graphs.
-

Accepted Answer

A)    y=x2+7y = x ^ { 2 } + 7y=x2+7  
B)    y=x2−7y = x ^ { 2 } - 7y=x2−7

Question 11

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

Accepted Answer

A)    −mn- \frac { m } { n }−nm​ 
B)    −nm- \frac { n } { m }−mn​ 
C)    nm\frac { n } { m }mn​ 
D)    mn\frac { m } { n }nm​

Question 12

The concept of slope is not defined for the line $y = 3$ .

Accepted Answer

A) True 
 B)False

Question 13

Use the elimination-by-addition method to solve the system. $$\left( \begin{array} { c } 
5 x + 6 y = - 1 \
8 x - 6 y = 92
\end{array} \right)$$

Accepted Answer

A)   ( 7, 6) 
B)   (7, -6) 
C)   ( -7, -6) 
D)   infinitely many solutions
E)   no solutions

Question 14

What graph illustrates the inequality 4 x + 3 y < 5?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 15

For moving purposes, the Hendersons bought 25 cardboard boxes for $117.50. There were two kinds of boxes; the large ones cost $6.50 per box and the small ones were $4 per box. How many boxes of each kind did they buy?

Accepted Answer

A)   12 large boxes and 13 small boxes
B)   7 large boxes and 18 small boxes
C)   18 large boxes and 7 small boxes

Question 16

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

Accepted Answer

A)    - 3 x \end{array} \right)   
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C)     
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B)    - 3 x \end{array} \right)   
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C)    - 3 x \end{array} \right)   
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D)    - 3 x \end{array} \right)   
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Question 17

A line is determined by the pair of points, $( 3,2 )$ and $( - 5,2 )$ . Is the slope of the line positive, negative, zero, or undefined?

Accepted Answer

The answer of A line is determined by the pair...

Question 18

Use the graphing method to solve the system. $$\left( \begin{array} { l } 
y = 2 x \
3 x - 2 y = - 5
\end{array} \right)$$

Accepted Answer

A)    (6,12) ( 6,12 ) (6,12)  
B)    (8,16) ( 8,16 ) (8,16)  
C)    (9,18) ( 9,18 ) (9,18)  
D)    (7,14) ( 7,14 ) (7,14)  
E)    (5,10) ( 5,10 ) (5,10)

Question 19

Solve system by using the substitution method. $$\left( \begin{array} { l } 
y = - 3 x - 4 \
2 x - 2 y = - 16
\end{array} \right)$$ Please enter your answer as an ordered pair in the form ( x , y ).

Accepted Answer

The answer of Solve system by using the substitution method....

Question 20

Decide which of the given ordered pairs is a solution of the given system of equations. $$\left( \begin{array} { l } 
3 x - 4 y = 26 \
5 x + 3 y = - 5
\end{array} \right)$$

Accepted Answer

A)   (4, -10) 
B)   (3, -7) 
C)   (2, -5)

Exam 5: Coordinate Geometry and Linear Systems

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { c } - 3 x + 4 y = 36 \\3 x - 4 y = - 35\end{array} \right)$

Which graph illustrates the inequality $y + 6 \leq \frac { 1 } { 8 } x$ ?

Solve the given equation for the variable indicated. 2 x $-$ 3 y = $-$ 4 for y

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 3 x - 5 y = - 4 \\4 x + y = 1\end{array} \right)$

Solve the system by using the substitution method. $\left( \begin{array} { c } 5 x - y = 71 \\x = \frac { 3 } { 2 } y - 4\end{array} \right)$ Please enter your answer as an ordered pair in the form ( x , y ).

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) y \leq \frac { 1 } { 3 } x - 7 B) y \geq \frac { 1 } { 3 } x - 7 C) y \leq - \frac { 1 } { 4 } x + 9 D) y \geq - \frac { 1 } { 4 } x + 9$

Use the graphing method to solve the system. $\left( \begin{array} { l } 3 x - 4 y = 27 \\4 x + 2 y = 14\end{array} \right)$ Enter your answer as an ordered pair in the form ( x , y ).

The income from a student production was $13,250. The price of a student ticket was $7, and nonstudent tickets were sold at $12 each. One thousand five hundred tickets were sold. How many nonstudent tickets were sold?

Write the equation of the line that satisfies the given condition: x intercept of 3 and y intercept of -12. Express the final equation in standard form.

Match the equations with their graphs. - $Match the equations with their graphs. - A) y = x ^ { 2 } + 7 B) y = x ^ { 2 } - 7$

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

The concept of slope is not defined for the line $y = 3$ .

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 5 x + 6 y = - 1 \\8 x - 6 y = 92\end{array} \right)$

What graph illustrates the inequality 4 x + 3 y < 5?

For moving purposes, the Hendersons bought 25 cardboard boxes for $117.50. There were two kinds of boxes; the large ones cost $6.50 per box and the small ones were $4 per box. How many boxes of each kind did they buy?

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

A line is determined by the pair of points, $( 3,2 )$ and $( - 5,2 )$ . Is the slope of the line positive, negative, zero, or undefined?

Use the graphing method to solve the system. $\left( \begin{array} { l } y = 2 x \\3 x - 2 y = - 5\end{array} \right)$

Solve system by using the substitution method. $\left( \begin{array} { l } y = - 3 x - 4 \\2 x - 2 y = - 16\end{array} \right)$ Please 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. $\left( \begin{array} { l } 3 x - 4 y = 26 \\5 x + 3 y = - 5\end{array} \right)$

Exam 5: Coordinate Geometry and Linear Systems

Decide which of the given ordered pairs is a solution of the given system of equations. (−3x+4y=363x−4y=−35) \left( \begin{array} { c } - 3 x + 4 y = 36 \\3 x - 4 y = - 35\end{array} \right) (−3x+4y=363x−4y=−35​)

Which graph illustrates the inequality y+6≤18xy + 6 \leq \frac { 1 } { 8 } xy+6≤81​x ?

Solve the given equation for the variable indicated. 2 x −-− 3 y = −-− 4 for y

Use the elimination-by-addition method to solve the system. (3x−5y=−44x+y=1) \left( \begin{array} { c } 3 x - 5 y = - 4 \\4 x + y = 1\end{array} \right) (3x−5y=−44x+y=1​)

Solve the system by using the substitution method. (5x−y=71x=32y−4)\left( \begin{array} { c } 5 x - y = 71 \\x = \frac { 3 } { 2 } y - 4\end{array} \right)(5x−y=71x=23​y−4​) Please enter your answer as an ordered pair in the form ( x , y ).

Match the following inequalities with the corresponding graph. -

Use the graphing method to solve the system. (3x−4y=274x+2y=14)\left( \begin{array} { l } 3 x - 4 y = 27 \\4 x + 2 y = 14\end{array} \right)(3x−4y=274x+2y=14​) Enter your answer as an ordered pair in the form ( x , y ).

The income from a student production was $13,250. The price of a student ticket was $7, and nonstudent tickets were sold at $12 each. One thousand five hundred tickets were sold. How many nonstudent tickets were sold?

Write the equation of the line that satisfies the given condition: x intercept of 3 and y intercept of -12. Express the final equation in standard form.

Match the equations with their graphs. -

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

The concept of slope is not defined for the line y=3y = 3y=3 .

Use the elimination-by-addition method to solve the system. (5x+6y=−18x−6y=92) \left( \begin{array} { c } 5 x + 6 y = - 1 \\8 x - 6 y = 92\end{array} \right) (5x+6y=−18x−6y=92​)

What graph illustrates the inequality 4 x + 3 y < 5?

For moving purposes, the Hendersons bought 25 cardboard boxes for $117.50. There were two kinds of boxes; the large ones cost $6.50 per box and the small ones were $4 per box. How many boxes of each kind did they buy?

Indicate the solution set for the system of linear inequalities by shading the appropriate region. (y≤−12xy>−3x) \left( \begin{array} { l } y \leq - \frac { 1 } { 2 } x \\y > - 3 x\end{array} \right) (y≤−21​xy>−3x​)

A line is determined by the pair of points, (3,2)( 3,2 )(3,2) and (−5,2)( - 5,2 )(−5,2) . Is the slope of the line positive, negative, zero, or undefined?

Use the graphing method to solve the system. (y=2x3x−2y=−5) \left( \begin{array} { l } y = 2 x \\3 x - 2 y = - 5\end{array} \right) (y=2x3x−2y=−5​)

Solve system by using the substitution method. (y=−3x−42x−2y=−16)\left( \begin{array} { l } y = - 3 x - 4 \\2 x - 2 y = - 16\end{array} \right)(y=−3x−42x−2y=−16​) Please 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. (3x−4y=265x+3y=−5) \left( \begin{array} { l } 3 x - 4 y = 26 \\5 x + 3 y = - 5\end{array} \right) (3x−4y=265x+3y=−5​)

Decide which of the given ordered pairs is a solution of the given system of equations. $\left( \begin{array} { c } - 3 x + 4 y = 36 \\3 x - 4 y = - 35\end{array} \right)$

Which graph illustrates the inequality $y + 6 \leq \frac { 1 } { 8 } x$ ?

Solve the given equation for the variable indicated. 2 x $-$ 3 y = $-$ 4 for y

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 3 x - 5 y = - 4 \\4 x + y = 1\end{array} \right)$

Solve the system by using the substitution method. $\left( \begin{array} { c } 5 x - y = 71 \\x = \frac { 3 } { 2 } y - 4\end{array} \right)$ Please enter your answer as an ordered pair in the form ( x , y ).

Match the following inequalities with the corresponding graph. - $Match the following inequalities with the corresponding graph. - A) y \leq \frac { 1 } { 3 } x - 7 B) y \geq \frac { 1 } { 3 } x - 7 C) y \leq - \frac { 1 } { 4 } x + 9 D) y \geq - \frac { 1 } { 4 } x + 9$

Use the graphing method to solve the system. $\left( \begin{array} { l } 3 x - 4 y = 27 \\4 x + 2 y = 14\end{array} \right)$ Enter your answer as an ordered pair in the form ( x , y ).

Match the equations with their graphs. - $Match the equations with their graphs. - A) y = x ^ { 2 } + 7 B) y = x ^ { 2 } - 7$

The concept of slope is not defined for the line $y = 3$ .

Use the elimination-by-addition method to solve the system. $\left( \begin{array} { c } 5 x + 6 y = - 1 \\8 x - 6 y = 92\end{array} \right)$

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

A line is determined by the pair of points, $( 3,2 )$ and $( - 5,2 )$ . Is the slope of the line positive, negative, zero, or undefined?

Use the graphing method to solve the system. $\left( \begin{array} { l } y = 2 x \\3 x - 2 y = - 5\end{array} \right)$

Solve system by using the substitution method. $\left( \begin{array} { l } y = - 3 x - 4 \\2 x - 2 y = - 16\end{array} \right)$ Please 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. $\left( \begin{array} { l } 3 x - 4 y = 26 \\5 x + 3 y = - 5\end{array} \right)$