Question 1

Match the inequality with a graph.
-$$2 y \leq - 7 x$$

A)

B)

C)

D)

Accepted Answer

A

Question 2

Find the graph that matches the given system of equations.
-$$\begin{array} { c } 
3 x + y = - 1 \
x + y = - 7
\end{array}$$
A)

B)

C)

D)

Accepted Answer

B

Question 3

Match the system of inequalities with a graph.
- 
A)

B)

C)

D)

Accepted Answer

C

Question 4

Find the graph that matches the given system of equations.
-$$\begin{array} { l } 
x + y = 9 \
y = x - 1
\end{array}$$
A)

B)

C)

D)

Accepted Answer

The answer of Find the graph that matches the given...

Question 5

Provide the proper response.
-$$\begin{array} { l } 
2 x - y = 0 \
- 6 x + 2 y = 0 \
\text { A) }
\end{array}$$
A)

B)

C)

D)

Accepted Answer

The answer of Provide the proper response.
-\[\begin{array} { l }...

Question 6

Match the system of inequalities with a graph.
-$$\begin{array} { l } 
y \leq x - 2 \
y \geq x
\end{array}$$

A)

B)

C)

D)

Accepted Answer

The answer of Match the system of inequalities with a...

Question 7

Match the inequality with a graph.
-$$- x > y$$

A)

B)

C)

D)

Accepted Answer

The answer of Match the inequality with a graph.
-\[- x...

Question 8

Find the graph that matches the given system of equations.
-$2 x + y = - 13$ $y = 2 x + 3$ A)
A)

B)

C)

D)

Accepted Answer

The answer of Find the graph that matches the given...

Question 9

Match the system of inequalities with a graph.
- 
A)

B)

C)

D)

Accepted Answer

The answer of Match the system of inequalities with a...

Question 10

Match the inequality with a graph.
-$$- 4 y \leq x$$

A)

B)

C)

D)

Accepted Answer

The answer of Match the inequality with a graph.
-\[- 4...

Question 11

Find the graph that matches the given system of equations.
-$$\begin{array} { l } 
x = - 3 y \
x - y = - 4
\end{array}$$
A)

B)

C)

D)

Accepted Answer

The answer of Find the graph that matches the given...

Question 12

Match the inequality with a graph.
- 
A)

B)

C)

D)

Accepted Answer

The answer of Match the inequality with a graph.
- 
A)

B)

C)

D)

...

Question 13

Match the system of inequalities with a graph.
-$$\begin{array} { l } 
2 y - x \leq 2 \
y + 2 x \leq 4 \
y \geq - x
\end{array}$$

A)

B)

C)

D)

Accepted Answer

The answer of Match the system of inequalities with a...

Question 14

Provide an appropriate response.
-Equating the numerators in the process of partial fraction decomposition, your friend has obtained the algebraic expression $6 x - 7 = A ( 3 x - 4 ) + B ( x + 7 ) + C ( x + 7 )$. From this equation, what can you say about the original expression?
A) The original expression has a repeating linear factor in the denominator.
B) The original expression has a non-reducible quadratic factor in the denominator.
C) The original expression has a numerator of $( 6 x - 7 ) ( 3 x - 4 ) ( x + 7 ) ( x + 7 )$.
D) The original expression has the factor $\left( x ^ { 2 } + 7 \right)$ in the denominator.

Accepted Answer

The presence of $B(x+7)$ and $C(x+7)$ in the equation suggests that the original expression has a repeating linear factor, $(x+7)$, in the denominator, indicating a partial fraction decomposition involving a repeated linear factor.

Question 15

Find the graph that matches the given system of equations.
-$$\begin{array} { l } 
3 x + 4 y = 7 \
5 x - 2 y = - 23
\end{array}$$
A)

B)

C)

D)

Accepted Answer

The answer of Find the graph that matches the given...

Question 16

Match the system of inequalities with a graph.
-$$\begin{array} { l } 
y \leq 4 x - 5 \
y \geq - x
\end{array}$$

A)

B)

C)

D)

Accepted Answer

The answer of Match the system of inequalities with a...

Question 17

Match the inequality with a graph.
-$$2 x - 5 y \geq - 1$$

A)

B)

C)

D)

Accepted Answer

The answer of Match the inequality with a graph.
-\[2 x...

Question 18

Match the system of inequalities with a graph.
- 
A)

B)

C)

D)

Accepted Answer

The answer of Match the system of inequalities with a...

Question 19

Match the inequality with a graph.
- 
A)

B)

C)

D)

Accepted Answer

The answer of Match the inequality with a graph.
- 
A)

B)

C)

D)

...

Question 20

Find the graph that matches the given system of equations.
-$$\begin{array} { l } 
3 x + y = 9 \
2 x - 3 y = - 5
\end{array}$$
A)

B)

C)

D)

Accepted Answer

The answer of Find the graph that matches the given...

Quiz 6: Systems of Equations and Matrices

Match the inequality with a graph. - $2 y \leq - 7 x$ $Match the inequality with a graph. - 2 y \leq - 7 x A) B) C) D)$

Find the graph that matches the given system of equations. - $\begin{array} { c } 3 x + y = - 1 \\x + y = - 7\end{array}$

Match the system of inequalities with a graph. -

Find the graph that matches the given system of equations. - $\begin{array} { l } x + y = 9 \\y = x - 1\end{array}$

Provide the proper response. - $\begin{array} { l } 2 x - y = 0 \\- 6 x + 2 y = 0 \\\text { A) }\end{array}$

Match the system of inequalities with a graph. - $\begin{array} { l } y \leq x - 2 \\y \geq x\end{array}$ $Match the system of inequalities with a graph. - \begin{array} { l } y \leq x - 2 \\ y \geq x \end{array} A) B) C) D)$

Match the inequality with a graph. - $- x > y$

Find the graph that matches the given system of equations. - $2 x + y = - 13$ $y = 2 x + 3$ A)

Match the system of inequalities with a graph. -

Match the inequality with a graph. - $- 4 y \leq x$ $Match the inequality with a graph. - - 4 y \leq x A) B) C) D)$

Find the graph that matches the given system of equations. - $\begin{array} { l } x = - 3 y \\x - y = - 4\end{array}$

Match the inequality with a graph. -

Match the system of inequalities with a graph. - $\begin{array} { l } 2 y - x \leq 2 \\y + 2 x \leq 4 \\y \geq - x\end{array}$ $Match the system of inequalities with a graph. - \begin{array} { l } 2 y - x \leq 2 \\ y + 2 x \leq 4 \\ y \geq - x \end{array} A) B) C) D)$

Provide an appropriate response. -Equating the numerators in the process of partial fraction decomposition, your friend has obtained the algebraic expression $6 x - 7 = A ( 3 x - 4 ) + B ( x + 7 ) + C ( x + 7 )$ . From this equation, what can you say about the original expression?

Find the graph that matches the given system of equations. - $\begin{array} { l } 3 x + 4 y = 7 \\5 x - 2 y = - 23\end{array}$

Match the system of inequalities with a graph. - $\begin{array} { l } y \leq 4 x - 5 \\y \geq - x\end{array}$ $Match the system of inequalities with a graph. - \begin{array} { l } y \leq 4 x - 5 \\ y \geq - x \end{array} A) B) C) D)$

Match the inequality with a graph. - $2 x - 5 y \geq - 1$ $Match the inequality with a graph. - 2 x - 5 y \geq - 1 A) B) C) D)$

Match the system of inequalities with a graph. -

Match the inequality with a graph. -

Find the graph that matches the given system of equations. - $\begin{array} { l } 3 x + y = 9 \\2 x - 3 y = - 5\end{array}$

Quiz 6: Systems of Equations and Matrices

Match the inequality with a graph. - 2y≤−7x2 y \leq - 7 x2y≤−7x

Find the graph that matches the given system of equations. - 3x+y=−1x+y=−7\begin{array} { c } 3 x + y = - 1 \\x + y = - 7\end{array}3x+y=−1x+y=−7​

Match the system of inequalities with a graph. -

Find the graph that matches the given system of equations. - x+y=9y=x−1\begin{array} { l } x + y = 9 \\y = x - 1\end{array}x+y=9y=x−1​

Provide the proper response. - 2x−y=0−6x+2y=0 A) \begin{array} { l } 2 x - y = 0 \\- 6 x + 2 y = 0 \\\text { A) }\end{array}2x−y=0−6x+2y=0 A) ​

Match the system of inequalities with a graph. - y≤x−2y≥x\begin{array} { l } y \leq x - 2 \\y \geq x\end{array}y≤x−2y≥x​

Match the inequality with a graph. - −x>y- x > y−x>y

Find the graph that matches the given system of equations. - 2x+y=−132 x + y = - 132x+y=−13 y=2x+3y = 2 x + 3y=2x+3 A)

Match the system of inequalities with a graph. -

Match the inequality with a graph. - −4y≤x- 4 y \leq x−4y≤x

Find the graph that matches the given system of equations. - x=−3yx−y=−4\begin{array} { l } x = - 3 y \\x - y = - 4\end{array}x=−3yx−y=−4​

Match the inequality with a graph. -

Match the system of inequalities with a graph. - 2y−x≤2y+2x≤4y≥−x\begin{array} { l } 2 y - x \leq 2 \\y + 2 x \leq 4 \\y \geq - x\end{array}2y−x≤2y+2x≤4y≥−x​

Find the graph that matches the given system of equations. - 3x+4y=75x−2y=−23\begin{array} { l } 3 x + 4 y = 7 \\5 x - 2 y = - 23\end{array}3x+4y=75x−2y=−23​

Match the system of inequalities with a graph. - y≤4x−5y≥−x\begin{array} { l } y \leq 4 x - 5 \\y \geq - x\end{array}y≤4x−5y≥−x​

Match the inequality with a graph. - 2x−5y≥−12 x - 5 y \geq - 12x−5y≥−1

Match the system of inequalities with a graph. -

Match the inequality with a graph. -

Find the graph that matches the given system of equations. - 3x+y=92x−3y=−5\begin{array} { l } 3 x + y = 9 \\2 x - 3 y = - 5\end{array}3x+y=92x−3y=−5​

Match the inequality with a graph. - $2 y \leq - 7 x$ $Match the inequality with a graph. - 2 y \leq - 7 x A) B) C) D)$

Find the graph that matches the given system of equations. - $\begin{array} { c } 3 x + y = - 1 \\x + y = - 7\end{array}$

Find the graph that matches the given system of equations. - $\begin{array} { l } x + y = 9 \\y = x - 1\end{array}$

Provide the proper response. - $\begin{array} { l } 2 x - y = 0 \\- 6 x + 2 y = 0 \\\text { A) }\end{array}$

Match the system of inequalities with a graph. - $\begin{array} { l } y \leq x - 2 \\y \geq x\end{array}$ $Match the system of inequalities with a graph. - \begin{array} { l } y \leq x - 2 \\ y \geq x \end{array} A) B) C) D)$

Match the inequality with a graph. - $- x > y$

Find the graph that matches the given system of equations. - $2 x + y = - 13$ $y = 2 x + 3$ A)

Match the inequality with a graph. - $- 4 y \leq x$ $Match the inequality with a graph. - - 4 y \leq x A) B) C) D)$

Find the graph that matches the given system of equations. - $\begin{array} { l } x = - 3 y \\x - y = - 4\end{array}$

Match the system of inequalities with a graph. - $\begin{array} { l } 2 y - x \leq 2 \\y + 2 x \leq 4 \\y \geq - x\end{array}$ $Match the system of inequalities with a graph. - \begin{array} { l } 2 y - x \leq 2 \\ y + 2 x \leq 4 \\ y \geq - x \end{array} A) B) C) D)$

Find the graph that matches the given system of equations. - $\begin{array} { l } 3 x + 4 y = 7 \\5 x - 2 y = - 23\end{array}$

Match the system of inequalities with a graph. - $\begin{array} { l } y \leq 4 x - 5 \\y \geq - x\end{array}$ $Match the system of inequalities with a graph. - \begin{array} { l } y \leq 4 x - 5 \\ y \geq - x \end{array} A) B) C) D)$

Match the inequality with a graph. - $2 x - 5 y \geq - 1$ $Match the inequality with a graph. - 2 x - 5 y \geq - 1 A) B) C) D)$

Find the graph that matches the given system of equations. - $\begin{array} { l } 3 x + y = 9 \\2 x - 3 y = - 5\end{array}$