8th Unit 4 Assessment Systems of Equations

 $y=-3x+10$  

 $y=-2x+6$  

 $1$  Enter the coordinates for the solution to the system of equations.

•  $\left(-2,\ 4\right)$  

•  $\left(4,-2\right)$  

•  $\left(-2,\ 8\right)$  

• Answer not given

 $-3x-5=4x+30$  

Solve for x.

•  $x=7$  

•  $x=-7$  

•  $x=5$  

•  $x=-5$  

 $2\left(x+6\right)-1=7$  

Enter the value for x that makes the equation true.

•  $x=-8$  

•  $x=-4$  

•  $x=-2$  

•  $x=0$  

 $3\left(x-4\right)=10$  

Solve.

•  $x=\frac{12}{10}$  

•  $x=\frac{22}{3}$  

•  $x=\frac{31}{7}$  

•  $x=\frac{120}{20}$  

How many solutions are there to this equation?

 $12x-6=3\left(4x+2\right)$  

• no solutions

• one solution

• two solutions

• infinite solutions

 $12x-6=3\left(4x-2\right)$  

How many solutions are there to this equation?

• no solutions

• one solution

• two solutions

• infinite solutions

A system of two linear equations has one solution. When the lines are graphed on the same coordinate plane, they are:

• perpendicular

• parallel

• equivalent

• intersecting

A system of two linear equations has no solution. When the lines are graphed on the same coordinate plane, they are:

• parallel

• perpendicular

• equivalent

• intersecting

 $3x-2=-2x+8$  

Solve for x.

•  $x=-8$  

•  $x=\frac{12}{4}$  

•  $x=2$  

•  $x=-1$  

 $y=-2x+5$ 
  $2x+3y=31$  

The x-coordinate of the intersection of the graphs of the system of equations shown is -4. What is the y-coordinate of the intersection?

• 13

• 10

• -5

• 0