Unit 6 Assessment

Which of the following graphs is correct for this system of equations?

2x - 3y = 12

4x - y = -3

• A

• B

• C

• D

Which of the following graphs is correct for this system of equations?

x + 2y = 6

-3x + y = -4

• A

• B

• C

• D

Given the following system of equations, which is the correct way to rearrange to get y = mx + b format?

6x - 2y = 4

-x - y = -2

• y = -3x - 2

  y = -x + 2

• y = 3x - 2

  y = -x + 2

• y = 3x - 2

  y = x + 2

• y = 3x - 2

  y = -x - 2

Given the following system of inequalities, which is the correct graph for the solution.

y < 2x - 3

y ≥ -x + 4

• A

• B

• C

• D

Given the following system of inequalities, which is the correct graph for the solution.

3x - 2y < 6

4x + 2y ≥ 4

• A

• B

• C

• D

Given the following system of inequalities, which is the correct graph for the solution.

x < 3

y ≥ -6

• A

• B

• C

• D

Shawna wants to solve the following system of equations using SUBSTITUTION. Which of the following shows the correct step?

3x + 2y = 6

2x + y = -3

• 2x + (3/2x + 3) = -3

• 2x + (-3/2x - 3) = -3

• 3x + 2(2x - 3) = 6

• 3x + 2(-2x - 3) = 6

Matthew wants to solve the following system of equations using SUBSTITUTION. Which of the following shows a correctly isolated equation?

4x - 2y = 8

-3x +3 y = -3

• y = -x - 1

• y = x - 1

• y = 2x + 4

• y = -2x - 4

David is solving the following system of equations using the substitution method. His work is attached. Which statement is TRUE about David's work?

• There is an error from Step 1 to Step 2

• There is an error from Step 2 to Step 3

• There is an error from Step 3 to Step 4

• There are no errors

Lauren wants to solve the following system of equations using ELIMINATION. Which of the following steps would work so when she adds the 2 equations, a variable will cancel?

3x - 4y = -3

-2x + 5y = 9

• Multiply the top equation by -2

  Multiply the bottom equation by 3

• Multiply the top equation by 2

  Multiply the bottom equation by -3

• Multiply the top equation by 5

  Multiply the bottom equation by 4

• Multiply the top equation by -5

  Multiply the bottom equation by 4