Determine If Statements Are True About Systems of Equations

The graph shows the system of which two equations?

Tags

CCSS.8.EE.C.8B

At a concession stand, a pickle and two bags of chips costs a total of $3.25. Three pickles and four bags of chips costs a total of $7.25. To determine the cost of one pickle, Kevin is writing a system of equations. His first equation is shown: x + 2y = 3.25 Which of the following could be the second equation in his system of equations?

• 3x + 4y = 7.25

• 4x + 3y = 7.25

• 3x – 4y = 7.25

• 3 + 4)x = 7.25

Tags

CCSS.8.EE.C.8C

What is the solution to this system of equations?

• (4, -1)

• (-1, 4)

• (-4, 1)

• (-4, -1)

Tags

CCSS.8.EE.C.8B

Select two statements about the system of equations that are true.

• The system of equations has one solution.

• The two linear functions have the same rates of change.

• The system of equations has no solutions.

• The two linear functions have different rates of change.

• The system of equations has infinite solutions.

Tags

CCSS.8.EE.C.8B

When graphed on the same coordinate plane, which equation results in a system of equations with exactly one solution?

• y = -2x+3

• y = -x+2

• y = -2x+3

• y = -2x + 4

Tags

CCSS.8.EE.C.8B

Tickets to a movie cost $10 for adults, and $6 for children. A family purchased 5 tickets for $38. If x represents the number of adult tickets and y represents the number of children tickets, which system can be used to determine the number of adult and children tickets that were sold?

• x + 5 = y

  6x + 10y = 36

• x + y = 5

  10x + 6y = 38

• 5 + y = x

  10x + 38y = 6

• x + y = 5

  6x + 36y = 10

Tags

CCSS.8.EE.C.8C

Which statement describes the solution(s) to the system of equations: -2x - 1y = 4 and -6x - 3y = 12?

• The system has a solution of (1,2).

• The system has a solution of (2,-4).

• The system has infinitely many solutions.

• The system has no solution.

Tags

CCSS.8.EE.C.8B

Consider the system of equations: y = -2x - 5 x + 5y = -16 What is the solution to the system?

• (-2, 1)

• (4, -1)

• (-1, -3)

• (5, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Two lines are graphed on the same coordinate plane. The lines intersect at the point (0,0). Which of these systems of linear equations could represent the two lines? Hint: Plugging in is a lot faster on this one than solving up to four systems.

• 3x + 3y = 9

  y = -6x - 9

• 5x + 1y = -13

  5x - 4y = 13

• -x - 4y = -4

  x + 2y = 4

• y = -3x

  2x - 5y = 0

Tags

CCSS.8.EE.C.8B

Two equations of a system are listed. Which is a useful first step for solving the system?

• Substitute 2x from the second equation in for -4x in the first equation.

• Substitute 6y from the first equation in for 2x in the second equation.

• Substitute (2x - 3) from the second equation for y in the first equation.

• Substitute (-4x+6y) from the first equation for y in the second equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6