Solving Systems by Elimination

Sloan plans to solve the system shown using elimination. Which describes a first step she could take?

• Multiply the first equation by 5.

• Multiply the second equation by 2.

• Both A and B.

• Neither A nor B.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Mateo plans to solve the system below using elimination. Which is a reasonable first step Mateo could take?

• Multiply the 2nd equation by 3

• Multiply 2nd equation by -3

• Multiply the 1st equation by -3

• Any of the above

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Jacobi wants to solve the system of equations below by using elimination. Which of the following describes the next step Jacobi should take?

• Multiply each term in the 1st equation by -1

• Multiply each term in the 2nd equation by -2

• Multiply each term in the 2nd equation by 2

• Add the two equations together

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Paulo is solving the system of equations shown and says that the first step is to add the equations together to eliminate the y variables. Describe Paulo's error.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Paulo is solving the system of equations shown and says that the first step is to add the equations together to eliminate the y variables. What is a possible first step Paulo could take?

• Multiply the first equation by -1

• Multiply the first equation by 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

McKayla is using elimination to solve the system below and will first add the equations together. Which of the following shows the result of the two equations added together?

• 8x=16

• 2x=16

• 2x=68

• 8x=68

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Beckett needs to solve the system of equations below using elimination. Which correctly describes the first step Beckett should take?

• Multiply each term in the 1st equation by -3

• Multiply each term in the 1st equation by 3

• Multiply each term in the 2nd equation by -4

• Both B and C would work

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the systems of equations.

• (-2,2)

• (-2,-2)

• (2,2)

• (2,-2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the systems of equations.

• (-1,-6)

• (1,-6)

• (-1,6)

• (1,6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

The sum of 2 numbers is 23. Their difference is 13. What are the numbers?

Tags

CCSS.8.EE.C.8C