Unit 2 Quiz - Systems of Linear Equations

Solve the system of linear equations by graphing.

Equation 1 (Red)  $y=-2x+2$  

Equation 2 (Blue)   $y=-x-1$  

Unit 2.1

•  $\left(-4,3\right)$  

•  $(3,–4)$  

•  $\left(-1,2\right)$  

•  $\left(1,-1\right)$  

Solve the system of equations by substitution.

Equation 1 $y=-4x+7$  

Equation 2  $y=2x-5$ 

Unit 2.2

•  $\left(-1,4\right)$  

•  $\left(4,-1\right)$  

•  $\left(-2,15\right)$  

•  $\left(2,-1\right)$  

Solve the system of equations by substitution.

Equation 1  $y=2x−5$  

Equation 2  $2x+y=−9$  

Unit 2.2

•  $\left(0,4\right)$  

•  $\left(1,3\right)$  

•  $\left(1,-3\right)$  

•  $\left(1,7\right)$  

Determine the statement that would be a logical first step in solving the system of linear equations by elimination.

Equation 1  $3x+4y=2$  

Equation 2    $x+2y=4$  

Unit 2.3

• Add the equations as is

• Multiply the first equation by -2 to create additive opposites for the constants.

• Multiply the second equation by −2 to create additive opposites for y.

• This system cannot be solved

Solve the system of linear equations using elimination.

Equation 1 $−2x+y=7$  

Equation 2  $2x+y=−9$  

Unit 2.3

•  $\left(-1,-4\right)$  

•  $\left(-1,-2\right)$  

•  $\left(1,9\right)$  

•  $\left(-2,-5\right)$  

Solve the system of linear equations.

Equation 1 $−3x+5y=13$  

Equation 2    $x+4y=−10$  

Unit 2.3

•  $\left(-2,9\right)$  

•  $\left(3,5\right)$  

•  $\left(-1,-6\right)$  

•  $(-6,-1)$