Question 1

A system of equations is shown below.

Which statement about the ordered pair $(-6,8)$ is true?

Accepted Answer

It is the only solution to the system.

Answer

It is one of many solutions to the system.

Answer

It is not a solution to either equation.

Answer

It is a solution to the first but not the second equation.

Question 2

What is the solution to the system of equations below?

$\quad2x+3y=6$
$\quad x-3y=9$

Accepted Answer

$\big[5,-\frac{4}{3}\big]$

Answer

$\big[8,-\frac{1}{3}\big]$

Answer

$\big[-1,\frac{8}{3}\big]$

Answer

$(-3,-4)$

Question 3

A system of equations is shown below.
$5x + 2y = -15$
$2x - 2y = -6$
What is the solution to the system of equations?

Accepted Answer

( -3, 0)

Answer

(-3, 6)

Answer

(0, -3)

Answer

(6, -3)

Question 4

Which system of equations has no solution?

Accepted Answer

$\Bigg\{\begin{matrix}7x-2y=9\7x-2y=13\end{matrix}$

Answer

$\Bigg\{\begin{matrix}3x+4y=5\6x+8y=10\end{matrix}$

Answer

$\Bigg\{\begin{matrix}3x+6y=1\x+y=0\end{matrix}$

Answer

$\Bigg\{\begin{matrix}2x-y=-11\-2x+y=11\end{matrix}$

Question 5

A line is graphed on the coordinate plane below.

Line $y=-x+2$ will be graphed on the same coordinate plane to create a system of equations. What is the solution to that system of equations?

Accepted Answer

$(4,-2)$

Answer

$(2,-4)$

Answer

$(-2,4)$

Answer

$(0,-4)$

Question 6

The graph of a system of equations is shown below.

What system of equations represents the graph?

Accepted Answer

$y=-2x+10$
$\$
$\quad y=-\frac{1}{2}x$

Answer

$y=-2x+10$
$\$
$\quad y=-\frac{1}{3}x$

Answer

$y=-\frac{1}{2}x+10$
$\$
$\quad y=-2x$

Answer

$y=-\frac{1}{3}x+10$
$\$
$\quad y=-2x$

Question 7

Solve the system of equations below.

$\quad2x+4y=10$
$\quad2x + 4y = -10$

Accepted Answer

No solution

Answer

$x = 6, y = - 4$

Answer

Infinitely many solutions

Answer

$x = 3, y = 1$

Question 8

The graph of a system of linear equations is shown below.

Which ordered pair is the BEST estimate for the solution of this system of linear equations?

Accepted Answer

$(-3, 2)$

Answer

$(6, 8)$

Answer

$(4, -4)$

Answer

$(-6, -2)$

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